% Encoding: UTF-8

@Misc{torvisco2018,
  author        = {Juan Antonio Fernández Torvisco and Mariano Rodríguez-Arias Fernández and Javier Cabello Sánchez},
  title         = {{A New Algorithm to Fit Exponential Decays}},
  month         = nov,
  year          = {2017},
  archiveprefix = {arXiv},
  eprint        = {1711.07891},
  primaryclass  = {math.OC},
}

@Article{plme4,
  author  = {Douglas Bates and Martin M{\"a}chler and Ben Bolker and Steve Walker},
  title   = {{Fitting Linear Mixed-Effects Models Using {lme4}}},
  journal = {Journal of Statistical Software},
  year    = {2015},
  volume  = {67},
  number  = {1},
  pages   = {1--48},
  doi     = {10.18637/jss.v067.i01},
}

@Article{tvrdik2007,
  author  = {{Josef Tvrdík and Ivan Křivý and Ladislav Mišík}},
  title   = {{Adaptive population-based search: Application to estimation of nonlinear regression parameters}},
  journal = {{Computational Statistics \& Data Analysis}},
  year    = {2007},
  volume  = {52},
  number  = {2},
  pages   = {713--724},
  month   = oct,
  url     = {https://doi.org/10.1016/j.csda.2006.10.014},
}

@Manual{nlsr2023manual,
  title  = {{nlsr: Functions for Nonlinear Least Squares Solutions}},
  author = {{John C Nash} and {Duncan Murdoch}},
  month  = aug,
  year   = {2023},
  note   = {R package version 2019.8.7},
}


@Manual{m-easynls,
  title  = {{easynls: Easy Nonlinear Model}},
  author = {Emmanuel Arnhold},
  year   = {2017},
  note   = {R package version 5.0},
  url    = {https://CRAN.R-project.org/package=easynls},
}

@Manual{m-nlsmsn,
  title  = {{nlsmsn: Fitting Nonlinear Models with Scale Mixture of Skew-Normal Distributions}},
  author = {Marcos Prates and Victor Lachos and Aldo Garay},
  year   = {2021},
  note   = {R package version 0.0-6},
  url    = {https://CRAN.R-project.org/package=nlsmsn},
}

@Manual{m-nlstac,
    title = {nlstac: An R Package for Fitting Separable Nonlinear Models},
    author = {Mariano Rodriguez-Arias and Juan Antonio Fernandez and Javier Cabello and Rafael Benitez},
    year = {2020},
    note = {R package version 0.1.0},
    url = {https://CRAN.R-project.org/package=nlstac},
}

@Manual{nlsmultstart,
    title = {nls.multstart: Robust Non-Linear Regression using AIC Scores},
    author = {Daniel Padfield and Granville Matheson},
    year = {2020},
    note = {R package version 1.2.0},
    url = {https://CRAN.R-project.org/package=nls.multstart},
  }

@Manual{nlsMicrobio-manual,
    title = {nlsMicrobio: data sets and nonlinear regression models dedicated to predictive microbiology},
    author = {Florent Baty and Marie-Laure Delignette-Muller},
    year = {2014},
    note = {R package version 0.0-1}
}

@Manual{nlshelper-manual,
    title = {nlshelper: Convenient Functions for Non-Linear Regression},
    author = {Remko Duursma},
    year = {2017},
    note = {R package version 0.2},
    url = {https://CRAN.R-project.org/package=nlshelper},
  }


@Manual{R-crsnls-manual,
    title = {crsnls: Nonlinear Regression Parameters Estimation by 'CRS4HC' and
'CRS4HCe'},
    author = {Josef Tvrdík},
    year = {2016},
    note = {R package version 0.2},
    url = {https://CRAN.R-project.org/package=crsnls},
}

@Manual{R-onls-manual,
    title = {onls: Orthogonal Nonlinear Least-Squares Regression},
    author = {{Andrej-Nikolai Spiess}},
    year = {2022},
    note = {R package version 0.1-2},
    url = {https://CRAN.R-project.org/package=onls},
}


@book{GSL-manual,
author = {Galassi, Mark and Davies, Jim and Theiler, James and Gough, Brian and Jungman, Gerard},
year = {2009},
month = {01},
pages = {},
title = {GNU Scientific Library - Reference Manual, Third Edition, for GSL Version 1.12 (3. ed.).},
isbn = {978-0-9546120-7-8}
}   
   
@article{Bioconductor,
  author = {Gentleman, Robert C. and
         Carey, Vincent J. and
         Bates, Douglas M. and
         Bolstad, Ben and
         Dettling, Marcel and
         Dudoit, Sandrine and
         Ellis, Byron and
         Gautier, Laurent and
         Ge, Yongchao and
         Gentry, Jeff and
         Hornik, Kurt and
         Hothorn, Torsten and
         Huber, Wolfgang and
         Iacus, Stefano and
         Irizarry, Rafael and
         Leisch, Friedrich and
         Li, Cheng and
         Maechler, Martin and
         Rossini, Anthony J. and
         Sawitzki, Gunther and
         Smith, Colin and
         Smyth, Gordon and
         Tierney, Luke and
         Yang, Jean YH and
         Zhang, Jianhua},
    year = 2004,
    title = {Bioconductor: open software development for computational biology and bioinformatics},
    journal = {{Genome Biology}}, 
    volume = 5,
    number = {R80},
    doi = {10.1186/gb-2004-5-10-r80}
}

@Manual{nls2-22,
    title = {nls2: Non-Linear Regression with Brute Force},
    author = {G. Grothendieck},
    year = {2022},
    note = {R package version 0.3-3},
    url = {https://CRAN.R-project.org/package=nls2},
}

@Manual{gslnls23,
    title = {gslnls: GSL Nonlinear Least-Squares Fitting},
    author = {Joris Chau},
    year = {2023},
    note = {R package version 1.1.2},
    url = {https://CRAN.R-project.org/package=gslnls},
}

@article{JNABRefactoringNLS22,
    title = {{Refactoring the `nls()` function in R}},
    author = {John C. Nash and Arkajyoti Bhattacharjee},
    year = {2022},
    url = {https://github.com/nashjc/RNonlinearLS/blob/main/RefactoringNLS/RefactoringNLS.pdf},
    note = {In preparation for publication.}
}

@article{ArchMiguez2013,
author = {Archontoulis, S.V. and Miguez, Fernando},
year = {2013},
month = {01},
pages = {1},
title = {Nonlinear Regression Models and Applications in Agricultural Research},
volume = {105},
journal = {Agronomy Journal},
doi = {10.2134/agronj2012.0506}
}

@InBook{SGN83,
  pages     = {91--100},
  title     = {{Truncated-Newton Methods for Large-Scale Minimization}},
  year      = {1983},
  author    = {Stephen G. Nash},
  editor    = {H. E. Rauch},
  booktitle = {Applications of Nonlinear Programming to Optimization and Control},
}

@Article{vanderLoo21,
  author  = {MPJ {van der Loo}},
  title   = {{A method for deriving information from running R code}},
  journal = {The R Journal},
  year    = {2021},
  volume  = {13},
  pages   = {42--52},
  issn    = {2073-4859},
  doi     = {10.32614/RJ-2021-056},
  issue   = {1},
}

@Article{HWtestthat11,
  author  = {Hadley Wickham},
  title   = {{testthat: Get Started with Testing}},
  journal = {The R Journal},
  year    = {2011},
  volume  = {3},
  pages   = {5--10},
  url     = {https://journal.r-project.org/archive/2011-1/RJournal_2011-1_Wickham.pdf},
}

@Manual{HWdevtools21,
  title  = {{devtools: Tools to Make Developing R Packages Easier}},
  author = {Hadley Wickham and Jim Hester and Winston Chang and Jennifer Bryan},
  year   = {2021},
  note   = {R package version 2.4.3},
  url    = {https://CRAN.R-project.org/package=devtools},
}

@article{Vidoni21,
  author = {Melina Vidoni},
  title = {{Software Engineering and R Programming: A Call for Research}},
  year = {2021},
  journal = {{The R Journal}},
  doi = {10.32614/RJ-2021-108},
  url = {https://doi.org/10.32614/RJ-2021-108},
  pages = {6--14},
  volume = {13},
  number = {2}
}

@Book{Dongarra79,
  title     = {{LINPACK Users' Guide}},
  publisher = {Society for Industrial and Applied Mathematics},
  year      = {1979},
  author    = {Dongarra, J. J. and Moler, C. B. and Bunch, J. R. and Stewart, G. W.},
  doi       = {10.1137/1.9781611971811},
  url       = {https://epubs.siam.org/doi/abs/10.1137/1.9781611971811},
}

@Article{NashWires22,
  author   = {Nash, John C.},
  title    = {{Function minimization and nonlinear least squares in R}},
  journal  = {WIREs Computational Statistics},
  year     = {2022},
  number   = {e1580},
  doi      = {https://doi.org/10.1002/wics.1580},
  keywords = {function minimization, optimization, R},
  url      = {https://wires.onlinelibrary.wiley.com/doi/abs/10.1002/wics.1580},
}



@Article{PkgFromRbase22,
    title = {Making a package from base {R} files},
    author = {John C. Nash and Arkajyoti Bhattacharjee},
    journal = {R-bloggers},
    year = {2022},
    month = jan,
    day = {19},
    url = {https://www.r-bloggers.com/2022/01/making-a-package-from-base-r-files/},
  }

@TechReport{RMachID2022,
    title = {{RMachID: A Machine Profile Summary}},
    author = {John C. Nash and Arkajyoti Bhattacharjee},
    url = {https://github.com/nashjc/RNonlinearLS/tree/main/MachineSummary}
  }


@Article{maxLik2011,
    title = {maxLik: A package for maximum likelihood estimation in {R}},
    author = {Arne Henningsen and Ott Toomet},
    journal = {Computational Statistics},
    year = {2011},
    volume = {26},
    number = {3},
    pages = {443-458},
    doi = {10.1007/s00180-010-0217-1},
    url = {http://dx.doi.org/10.1007/s00180-010-0217-1},
  }


@Article{Rocker2017,
    title = {{An Introduction to Rocker: Docker Containers for R}},
    author = {by Carl Boettiger and Dirk Eddelbuettel},
    journal = {R Journal of Statistical Software},
    year = {2017},
    volume = {9},
    number = {2},
    url = {https://journal.r-project.org/archive/2017/RJ-2017-065/RJ-2017-065.pdf},
}


@Manual{benchmarkme,
    title = {benchmarkme: Crowd Sourced System Benchmarks},
    author = {Colin Gillespie},
    year = {2022},
    note = {R package version 1.0.8},
    url = {https://CRAN.R-project.org/package=benchmarkme},
  }

@TechReport{Birkisson2013,
   title={Automatic linearity detection, Report NA-13-04},
   institution={Mathematical Institute, University of Oxford},
   year=2013,
   url={https://core.ac.uk/download/pdf/9695588.pdf}
}


@article{Zhang2011LinNonlin,
 ISSN = {01621459},
 URL = {http://www.jstor.org/stable/23427577},
 author = {Hao Helen Zhang and Guang Cheng and Yufeng Liu},
 journal = {Journal of the American Statistical Association},
 number = {495},
 pages = {1099--1112},
 publisher = {[American Statistical Association, Taylor & Francis, Ltd.]},
 title = {Linear or Nonlinear? Automatic Structure Discovery for Partially Linear Models},
 volume = {106},
 year = {2011}
}

@Manual{MiguezNLRAA2021,
    title = {{nlraa: Nonlinear Regression for Agricultural Applications}},
    author = {Fernando Miguez},
    year = {2021},
    note = {R package version 0.89},
    url = {https://CRAN.R-project.org/package=nlraa},
  }

@Article{BLAS79,
  author  = {Lawson, C. L. and Hanson, R. J. and Kincaid, D. and Krogh, F. T.},
  title   = {{Basic Linear Algebra Subprograms for FORTRAN usage}},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1979},
  volume  = {5},
  number  = {3},
  pages   = {308--323},
}


@article{DrmacVeselic2008-2,
author = {Drma\v{c}, Zlatko and Veseli\'{c}, Kre\v{s}imir},
title = {New Fast and Accurate Jacobi SVD Algorithm. II},
year = {2008},
issue_date = {November 2007},
publisher = {Society for Industrial and Applied Mathematics},
address = {USA},
volume = {29},
number = {4},
issn = {0895-4798},
url = {https://doi.org/10.1137/05063920X},
doi = {10.1137/05063920X},
journal = {SIAM J. Matrix Anal. Appl.},
month = jan,
pages = {1343–1362},
numpages = {20},
keywords = {singular value decomposition, Jacobi method, eigenvalues}
}

@article{Drmac2017Alg977,
author = {Drma\v{c}, Zlatko},
title = {Algorithm 977: A QR--Preconditioned QR SVD Method for Computing the SVD with High Accuracy},
year = {2017},
issue_date = {July 2017},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
volume = {44},
number = {1},
issn = {0098-3500},
url = {https://doi-org.proxy.bib.uottawa.ca/10.1145/3061709},
doi = {10.1145/3061709},
journal = {ACM Trans. Math. Softw.},
month = jul,
articleno = {11},
numpages = {30},
keywords = {condition number, Accuracy, SVD, pivoting, Jacobi method}
}

@article{Drmac1997ImplementationOJ,
  title={Implementation of Jacobi Rotations for Accurate Singular Value Computation in Floating Point Arithmetic},
  author={Z. Drmac},
  journal={SIAM J. Sci. Comput.},
  year={1997},
  volume={18},
  pages={1200-1222}
}

@Inbook{Drmac2003,
author="Drma{\v{c}}, Zlatko
and Hari, Vjeran
and Slapni{\v{c}}ar, Ivan",
editor="Drma{\v{c}}, Zlatko
and Hari, Vjeran
and Sopta, Luka
and Tutek, Zvonimir
and Veseli{\'{c}}, Kre{\v{s}}imir",
title="Advances in Jacobi Methods",
bookTitle="Applied Mathematics and Scientific Computing",
year="2003",
publisher="Springer US",
address="Boston, MA",
pages="63--90",
isbn="978-1-4757-4532-0",
doi="10.1007/978-1-4757-4532-0_3",
url="https://doi.org/10.1007/978-1-4757-4532-0_3"
}

@ARTICLE{LukPark1989Jacobi,
  author={F. T. {Luk} and H. {Park}},
  journal={IEEE Transactions on Computers}, 
  title={A proof of convergence for two parallel Jacobi SVD algorithms}, 
  year={1989},
  volume={38},
  number={6},
  pages={806-811}
}

@article{deRijk1989Jacobi,
  author = {de Rijk, P. P. M.},
  title = {A One-Sided Jacobi Algorithm for Computing the Singular Value Decomposition on a Vector Computer},
  journal = {SIAM Journal on Scientific and Statistical Computing},
  volume = {10},
  number = {2},
  pages = {359-371},
  year = {1989}
}

@InBook{GolubReinschSVD1971,
  pages     = {134--151},
  title     = {{Singular Value Decomposition and Least Squares Solutions}},
  publisher = {Springer Berlin Heidelberg},
  year      = {1971},
  author    = {Golub, G. H. and Reinsch, C.},
  editor    = {Bauer, F. L.},
  address   = {Berlin, Heidelberg},
  isbn      = {978-3-662-39778-7},
  booktitle = {Linear Algebra},
  doi       = {10.1007/978-3-662-39778-7_10},
  url       = {https://doi.org/10.1007/978-3-662-39778-7_10},
}

@article{Bindel2002Givens,
    author = {D. Bindel and J. Demmel and W. Kahan and O. Marques},
    title = {On computing Givens rotations reliably and efficiently},
    journal = {{ACM Transactions on Mathematical Software}}, 
    volume = {28},
    number = {2}, 
    month = {june}, 
    pages = {206--238},
    year = {2002}
}

@article{Smith91afortran,
    author = {David M. Smith},
    title = {A FORTRAN package for floating-point multiple-precision arithmetic},
    journal = {ACM transactions on mathematical software},
    year = {1991},
    volume = {17},
    pages = {273--283}
}

@article{Jones70Spiral,
    author = {Jones, A.},
    title = "{Spiral—A new algorithm for non-linear parameter estimation using least squares}",
    journal = {The Computer Journal},
    volume = {13},
    number = {3},
    pages = {301-308},
    year = {1970},
    month = {01}
}

@article{Karpinski85,
author = {Karpinski, Richard},
title = {Paranoia: A floating-point benchmark,},
year = {1985},
journal = {Byte Magazine},
month = feb,
volume = {10},
number ={2},
pages = {223-235}
}

@Article{Cody1988Alg665,
  author =       "W. J. Cody",
  title =        "Algorithm 665. {MACHAR}: {A} Subroutine to Dynamically
                 Determine Machine Parameters",
  journal =      "ACM Transactions on Mathematical Software",
  volume =       "14",
  number =       "4",
  pages =        "303--311",
  month =        dec,
  year =         "1988"
}

@article{HoerlKennard70,
   author = {Hoerl, A.E. and Kennard, R.W.},
   year = {1970},
   title = {Ridge Regression: Biased Estimation for Nonorthogonal Problems},
   journal = {Technometrics},
   volume = {12}, 
   pages = {55--67}
}

@miscel{BauerReinsch71,
  author  = {Bauer, F. L. and Reinsch, C.},
  title =   {Inversion of positive definite matrices by the 
            {Gauss-Jordan} method}, 
  publisher = {in Wilkinson {et al.} 1971, 
            pages 45--49},
  year      = "1971",
  pages     = "45--49",
  note      = {{See Wilkinson et al. 1971}}
}

@book{wilkinson1971linear,
  title={Linear Algebra},
  author={Wilkinson, J.H. and Reinsch, C. and Bauer, F.L.},
  number={v. 10},
  series={Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen},
  year={1971},
  publisher={Springer-Verlag}
}


@Article{Smith:2001:AFS,
  author =       "David M. Smith",
  title =        "{Algorithm 814}: {Fortran 90} software for
                 floating-point multiple precision arithmetic, gamma and
                 related functions",
  journal =     "ACM Transactions on Mathematical Software (TOMS)",
  volume =       "27",
  number =       "4",
  pages =        "377--387",
  month =        dec,
  year =         "2001"
}


@Article{Smith:2011:AMP,
  author =       "David M. Smith",
  title =        "{Algorithm 911}: Multiple-Precision Exponential
                 Integral and Related Functions",
  journal =     "ACM Transactions on Mathematical Software (TOMS)",
  volume =       "37",
  number =       "4",
  pages =        "46:1--46:16",
  month =        feb,
  year =         "2011"
}

@Manual{FreePascal1993,
	title   = {Free Pascal: A 32, 64 and 16 bit professional Pascal compiler},
	author  = {{Free Pascal Team}},
	year    = {1993--2020},
	address = {Fairfax, VA},
	note    = {{version} 3.2.0},
	note    = {{rrid} SCR_014360},
	url     = {https://www.freepascal.org/}
}

@Article{Wirth1971Pascal,
  author = {Wirth, Niklaus},
  title  = {The Programming Language Pascal},
  Journal = {Acta Informatica},
  volume = {1},
  year = {1971},
  pages = {35--63} 
}

@Article{nl2solDGW81,
  Title                    = {An Adaptive Nonlinear Least-Squares Algorithm},
  Author                   = {John E. Dennis and David M. Gay and Roy E. Welsch},
  Journal                  = {ACM Transactions on Mathematical Software},
  Volume                   = {7},
  Number                   = {3},
  Pages                    = {348--368},
  Year                     = {1981}
}


@Manual{ Ryacas-manual,
    title = {Ryacas: R Interface to the Yacas Computer Algebra System},
    author = {Rob Goedman and Gabor Grothendieck and Søren Højsgaard and Ayal Pinkus and Grzegorz Mazur and Mikkel Meyer Andersen},
    year = {2019},
    note = {R package version 0.4.1},
    url = {https://CRAN.R-project.org/package=Ryacas},
  }

@article{BatesWatts81,
author = {{Bates, Douglas M.} and {Watts, Donald G.}},
title = {A Relative Offset Orthogonality Convergence Criterion for Nonlinear least Squares},
journal = {Technometrics},
volume = {23},
number = {2},
pages = {179-183},
year = {1981}
}

@Article{bolkernonlin13,
  Title                    = {Strategies for fitting nonlinear ecological models in R, AD Model Builder, and BUGS},
  Author                   = {Bolker, Benjamin M. and Gardner, Beth and Maunder, Mark and Berg, Casper W. and Brooks, Mollie and Comita, Liza and Crone, Elizabeth and Cubaynes, Sarah and Davies, Trevor and de Valpine, Perry and Ford, Jessica and Gimenez, Olivier and Ke\'ry, Marc and Kim, Eun Jung and Lennert-Cody, Cleridy and Magnusson, Arni and Martell, Steve and Nash, John and Nielsen, Anders and Regetz, Jim and Skaug, Hans and Zipkin, Elise},
  Journal                  = {Methods in Ecology and Evolution},
  Year                     = {2013},
  Note                     = {Report on special 2-session workshop at National Center for Ecological Analysis and Synthesis, Santa Barbara, CA in 2012. JNfile: 13-bolker-strategies.pdf},
  Number                   = {6},
  Pages                    = {501--512},
  Volume                   = {4},

  ISSN                     = {2041-210X}
}

@Misc{DalzellInterview1310,
  Title                    = {{Optimization in R: A conversation with John Nash about optim and optimx}},

  Author                   = {Dalzell, Catherine and Nash, John C.},
  Month                    = {October},
  Note                     = {Interview published in IBM Developerworks series. JNfile: Interview\-Optimization\_in\_R.pdf},
  Year                     = {2013},

  Url                      = {http://www.ibm.com/developerworks/library/ba\-optimR\-john\-nash/index.html}
}

@Misc{PORTlib,
  Title                    = {The {Port Mathematical Subroutine Library}, Version 3},
  Author                   = {Phyllis Fox},
  Year                     = {1997},
  Address                  = {Murray Hill, NJ},
  Publisher                = {AT\&T Bell Laboratories},
  Url                      = {http://www.bell-labs.com/project/PORT/}
}

@Misc{Gil93,
  Title                    = {p2c},

  Author                   = {Dave Gillespie},
  Year                     = {1993},

  Address                  = {Boston, MA},
  Publisher                = {Free Software Foundation},
  Url                      = {http://directory.fsf.org/project/p2c/}
}

@Misc{hjjncompstat98,
  Title                    = {Numerical optimization with imprecise function evaluations},

  Author                   = {Joe, Harry and Nash, John C.},
  Note                     = {Slides for presentation July 26, 1998 at the Computational Statistics 98 Conference, Bristol, UK. JNfile: 980726JoeNashslides-compstat.pdf},
  Year                     = {1998}
}

@Misc{SIAMOpt96JNHJ,
  Title                    = {{Minimizing imprecisely computed functions}},

  Author                   = {Joe, Harry and Nash, John C},
  Month                    = {May},
  Note                     = {Slides for a presentation at the Fifth SIAM Conference on Optimization, Victoria, BC, May 20-22, 1996. JNfile: SIAMOpt96JNHJSlides.pdf},
  Year                     = {1996}
}

@Article{Magnussen16,
  Title                    = {The relative performance of R, AD Model Builder, and BUGS for fitting nonlinear models},
  Author                   = {Magnusson, Arni and Bolker, Benjamin M. and Gardner, Beth and Maunder, Mark and Berg, Casper W. and Brooks, Mollie and Comita, Liza and Crone, Elizabeth and Cubaynes, Sarah and Davies, Trevor and de Valpine, Perry and Ford, Jessica and Gimenez, Olivier and Ke\'ry, Marc and Kim, Eun Jung and Lennert-Cody, Cleridy and Martell, Steve and Nash, John and Nielsen, Anders and Regetz, Jim and Skaug, Hans and Zipkin, Elise},
  Journal                  = {Methods in Ecology and Evolution},
  Year                     = {2016},
  Note                     = {Submitted early 2016 JNfile: 13-bolker-strategies.pdf},

  ISSN                     = {2041-210X}
}

@Book{jnespssm84,
  Title                    = { Effective scientific problem solving with small computers},
  Author                   = {Nash, John C.},
  Publisher                = { Reston Publishing Company : Reston, Virginia },
  Year                     = {1984 },
  Note                     = { (front matter only) JNfile: 84summaryESPSSCbook.pdf},

  ISBN                     = { },
  Language                 = { English },
  Type                     = { Book }
}

@Misc{jn120529Leuven,
  Title                    = {{Optimization and nonlinear parameter estimation with R}},

  Author                   = {Nash, John C.},
  Month                    = {May},
  Note                     = {Presented to the Faculty of Business \& Economics, KU-Leuven. JNfile: leuven120529.ppt},
  Year                     = {2012}
}

@Misc{jn120801lehigh,
  Title                    = {{Optimization and nonlinear parameter estimation with R}},

  Author                   = {Nash, John C.},
  Month                    = {August},
  Note                     = {Presented at the MOPTA 2012 Conference, Lehigh University. While this has the same title as the Leuven talk in May, the treatment was very different. JNfile: mopta120731.pdf},
  Year                     = {2012}
}

@Misc{RQtimes12,
  Title                    = {{Timing Rayleigh Quotient minimization in R}},

  Author                   = {Nash, John C.},
  Month                    = {July},
  Note                     = {This is a `tip' on http://rwiki.sciviews.org/doku.php?id=tips:rqcasestudy. The files related to this study are \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.pdf} and \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.Rnw}},
  Year                     = {2012}
}

@Misc{jn100907r,
  Title                    = {{R} -- an overview},

  Author                   = {Nash, John C.},
  Note                     = {Ottawa Canada Linux Users Group presentation. JNfile: 2010-OCLUG-R-100907.odp, 2010-OCLUG-R-100907.pdf},
  Year                     = {2010},

  Url                      = {http://devel.oclug.on.ca/wiki/MeetingPresentations2010}
}

@Misc{jntut-UseR2010,
  Title                    = {Optimization and related nonlinear modelling computations in {R} (a 3-hour tutorial)},

  Author                   = {Nash, John C.},
  Month                    = {July},
  Note                     = {2 page abstract, web site with materials and slides. JNfile: 2010-useR2010Nashtutorial.pdf, 2010-useR--2010--Tutorials.pdf, useR--2010--Optimization-and-related-nonlinear-modelling-computa.pdf},
  Year                     = {2010},

  Url                      = {http://user2010.org/program2010.pdf}
}

@Misc{NashR081022,
  Title                    = {R: an open source statistical computing system, or {How} to avoid spending a fortune on quality statistical software},

  Author                   = {Nash, John C.},
  Month                    = {October},
  Note                     = {Workshop presented at the Telfer School of Management, University of Ottawa. JNfile: 2008R-workshop-081022.pdf, 2008Poster-R-Workshop-22-10-2008.pdf},
  Year                     = {2008}
}

@Misc{mopta01,
  Title                    = {Numerical optimization and surface estimation with imprecise function evaluations},

  Author                   = {Nash, John C.},
  Month                    = {August},
  Note                     = {Slides for presentation at the 2001 MOPTA (McMaster Optimization Theory and Applications) Conference, Hamilton, Aug 2-4, 2001. JNfile: 01-MOPTAO1JoeNash-slides.pdf},
  Year                     = {2001}
}

@Misc{SSO950626,
  Title                    = {{Optimization, Statistics and the Internet}},

  Author                   = {Nash, John C.},
  Month                    = {June},
  Note                     = {Talk given to Statistical Society of Ottawa AGM, June 26, 1995. JNfile: SSO95AGMslides-optandstats.pdf},
  Year                     = {1995}
}

@Misc{nash93argonnetalk,
  Title                    = {Nonlinear function minimization on PCs: applications, models and software},

  Author                   = {Nash, John C.},
  Note                     = {Talk given to the Mathematics and Computer Science Division of the Argonne National Laboratory, March 12, 1993. JNfile: 93Argonne.pdf},
  Year                     = {1993}
}

@Misc{jn91ICIAM,
  Title                    = {Initial parameter values in nonlinear parameter determination},

  Author                   = {Nash, John C.},
  Month                    = {July},
  Note                     = {Slides for a presentation to the 1991 International Congress for Industrial and Applied Mathematics, March 24-27, 1991. The presentation was given by Mary Nash as the author had food poisoning. JNfile: 910711ICIAM-initialparameters.pdf},
  Year                     = {1991}
}

@Misc{jn1989gordonconf,
  Title                    = {Appropriate statistical tools for progress-curve modelling of chemical reactions},
  Author                   = {Nash, John C.},
  Note                     = {Poster at 1989 Gordon Conference on Statistics in Chemistry and Chemical Engineering, Jul 31 - Aug 4, New Hampton School. JNfile: 89GordonConf-Appropriateswslides.pdf},
  Year                     = {1989}
}

@Misc{jn89bostoncoll,
  Title                    = {Nonlinear modelling},

  Author                   = {Nash, John C.},
  Note                     = {Talk at Boston College, Mathematics Department, March 31, 1989. JNfile: 89BostonCollege-nonlinearmodelling.pdf},
  Year                     = {1989}
}

@Misc{88nonlinearmodelling,
  Title                    = {Nonlinear modelling: choices facing users and developers of software},

  Author                   = {John C. Nash},
  Note                     = {Talks presented at DSIR Wellington on Feb 25, 1988, and Department of Mathematics, University of Waikato, May 10, 1988. Dept of Mathematics and Statistics, Auckland U, March 30, 1988. Also presented Oct 7, 1987, to the Agricultural Economics Department, University of New England, Armidale, Australia, and to the Melbourne CSIRO establishment Oct 21, 1987. A related talk "Software for nonlinear parameter determination: choices facing users and developers" was presented to the Mathematics Department of the University of Adelaide, Oct 16, 1987. JNfile: 8788Armidale-etc-nonlinearmodellingslides.pdf},
  Year                     = {1988}
}

@Misc{88sscvictoria,
  Title                    = {Stretching a software package to its limits: applications of a nonlinear estimation program suite},

  Author                   = {John C. Nash},
  Month                    = {June},
  Note                     = {Poster presented at the 1988 Statistical Society of Canada conference in Victoria, BC. June 5-8, 1988. JNfile: 88sscvicposter.pdf, 88SSCVictoria-StretchingaComputerPackagetoitsLimits-sign.pdf},
  Year                     = {1988}
}

@Misc{88TAMworkshop,
  Title                    = {Limits to the application of nonlinear function minimisation and nonlinear least squares codes: can flexibility coexist with simplicity of use and efficiency of operation},

  Author                   = {John C. Nash},
  Note                     = {Talk to the Theoretical and Applied Mechanics workshop on April 27, 1988 ad the University of Aukland. JNfile: none.},
  Year                     = {1988}
}

@Misc{jnSIAMOpt87,
  Title                    = {Extensions of a parameter estimation package to approach global optimization},

  Author                   = {John C. Nash},
  Month                    = {May},
  Note                     = {SIAM Conference on Optimization, Houston TX, May 18-20, 1987. Poster presentation. JNfile: 87SIAM-ModsofParamEsttoGlobalOpt-slides.pdf},
  Year                     = {1987}
}

@Misc{jncarletonsem86,
  Title                    = {Impact of implementation and computing environment on the performance of function minimization algorithms},

  Author                   = {John C. Nash},
  Month                    = {September},
  Note                     = {Seminar to Department of Systems and Computer Engineering, September 24, 1986. JNfile: 860924CarletonSeminar.pdf},
  Year                     = {1986}
}

@Misc{jn84Delaware,
  Title                    = {Solving difficult parameter estimation problems with microcomputers},
  Author                   = {Nash, John C.},
  Month                    = {April},
  Note                     = {Invited talk at "Microcomputers \& Statistics", Newark, Delaware, April 30, 1984. JNfile: 84-0430NewarkDelaware.pdf},
  Year                     = {1984}
}

@Misc{jn76Cornell,
  Title                    = {Function minimization with small computers},

  Author                   = {Nash, John C.},
  Month                    = {October},
  Note                     = {JNfile: 76-FunctionMinwithSmallComputers-Cornell.pdf},
  Year                     = {1976},

  Publisher                = {presented at an invited seminar at Cornell University}
}

@Book{jnmn94,
  Title                    = {Scientific Computing with PCs },
  Author                   = {Nash, John C. and Nash, Mary M.},
  Publisher                = { Nash Information Services Inc.: Ottawa },
  Year                     = { 1994 },
  Month                    = { November },
  Note                     = {This was a rewriting of {Effective scientific problem solving with small computers, Reston, 1984}. JNfile: 94Nash-SCPCs.pdf},

  ISBN                     = { },
  Language                 = { English },
  Pages                    = { 199 },
  Type                     = { Book }
}

@Misc{jnmws89siam,
  Title                    = {Performance of general purpose minimization software on {L-1} and {L-infinity} approximation problems},

  Author                   = {Nash, John C. and Nash, Mary M.},
  Note                     = {Poster at SIAM Optimization Conference, April 2-5, 1989. JNfile: SIAM89JN.pdf},
  Year                     = {1989}
}

@Misc{jn1989mws-exprobs,
  Title                    = {Example Problems and Software Extensions to accompany Nonlinear Parameter Estimation Methods: an Integrated System in BASIC},

  Author                   = {Nash, John C. and Walker-Smith, Mary},
  Note                     = {Includes software and documentation. JNfile: 87NLPEplus.zip. This is combined with the original book and files under 1987.},
  Year                     = {1989},

  Publisher                = { Nash Information Services Inc.: Ottawa }
}

@Misc{jnmws87ssc,
  Title                    = {Sensitivity of nonlinear parameters to estimation criteria: some selected examples and discussion},
  Author                   = {John C. Nash and Mary Walker-Smith},
  Month                    = {June},
  Note                     = {Statistical Society of Canada annual meeting, Quebec, Poster presentation. JNfile: 87SSCjnmws-poster.pdf},
  Year                     = {1987}
}

@Misc{Nielsen2000a,
  Title                    = {{UCMINF} - an Algorithm for Unconstrained, Nonlinear Optimization},

  Author                   = {H. B. Nielsen},
  Month                    = {dec},
  Year                     = {2000},

  Institution              = {{IMM,} {DTU}},
  Isbn_issn                = {IMM-REP-2000-19},
  Pages                    = {24},
  Url                      = {http://www2.imm.dtu.dk/pubdb/p.php?642}
}

@Manual{p-ucminf,
  Title                    = {\emph{ucminf}: General-Purpose Unconstrained Non-linear Optimization},
  Author                   = {Hans Bruun Nielsen and Stig Bousgaard Mortensen},
  Note                     = {R package version 1.0-5},
  Organization             = {R Foundation for Statistical Computing},
  Year                     = {2009}
}

@Misc{genstat,
  Title                    = {GenStat for Windows (12th Edition) Introduction},

  Author                   = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  Year                     = {2009},

  Address                  = {Hemel Hempstead},
  Publisher                = {VSN International}
}

@Misc{Powell09,
  Title                    = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},

  Author                   = {Powell, M. J. D.},
  Month                    = aug,
  Year                     = {2009},

  Url                      = {http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf}
}

@Misc{stata,
  Title                    = {Stata Statistical Software: Release 11},

  Author                   = {StataCorp},
  Year                     = {2009},

  Address                  = {College Station, TX},
  Publisher                = {StataCorp LP}
}

@Misc{SAS,
  Title                    = {SAS},

  Author                   = {various},

  Address                  = {Cary, NC},
  Publisher                = {SAS Institute Inc.}
}

@Misc{IEEE754committee,
  Title                    = {IEEE P754 voting committee members at time of adoption of the proposed graph},
  Author                   = {various},
  Month                    = {March},
  Note                     = {John C. Nash was a member of this working group that adopted the IEEE P754 standard for binary floating point arithmetic. JNfile: 81IEEE754committee.pdf},
  Year                     = {1981},
  Journal                  = {IEEE Computer},
  Pages                    = {62}
}

@article{Dongarra2018SVD,
    author = {Jack Dongarra and Mark Gates and Azzam Haidar and Jakub Kurzak and
              Piotr Luszczek and Stanimire Tomov and Ichitaro Yamazaki},
    title = {The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale},
    journal = {SIAM Review},
    year = {2018},
    volume = {60},
    number = {4},
    pages = {808--865}
}

@ARTICLE{Demmel92jacobi,
    author = {James Demmel and Kresimir Veselic},
    title = {Jacobi's method is more accurate than QR},
    journal = {SIAM J. Matrix Anal. Appl},
    year = {1992},
    volume = {13},
    pages = {1204--1245}
}

@phdthesis{Booker1985,
 author = {Booker, T. Hoy},
 title = {Singular Value Decomposition Using a Jacobi Algorithm with an Unbounded Angle of Rotation (Cyclic, Svd, Real Symmetric)},
 year = {1985},
 note = {AAI8515766},
 publisher = {The American University},
 address = {Washington, DC, USA},
} 


@MISC{SmithFMfortran,
    author = {David M. Smith},
    title = {Fortran 95 Software for Floating-Point Multiple Precision Computation},
    year = {2017},
    url = {https://dmsmith.lmu.build/}
}

@article{Stewart1993,
author = {Stewart, G. W.},
title = {On the Early History of the Singular Value Decomposition},
journal = {SIAM Review},
volume = {35},
number = {4},
pages = {551-566},
year = {1993}
}


@article{SVDwikipedia,
  author = {Wikipedia, EN},
  title = {Singular value decomposition},
  note = {Accessed 2019-11-28.},
  year = {2019}
}


@article{Chan1982,
 author = {Chan, Tony F.},
 title = {An Improved Algorithm for Computing the Singular Value Decomposition},
 journal = {ACM Trans. Math. Softw.},
 issue_date = {March 1982},
 volume = {8},
 number = {1},
 month = mar,
 year = {1982},
 issn = {0098-3500},
 pages = {72--83},
 numpages = {12},
 url = {http://doi.acm.org/10.1145/355984.355990},
 doi = {10.1145/355984.355990},
 acmid = {355990},
 publisher = {ACM},
 address = {New York, NY, USA},
} 

@Book{Smith1976MER,
  author =       "B. T. Smith and J. M. Boyle and 
                 J. J. Dongarra and B. S. Garbow and 
                 Y. Ikebe and V. C. Klema and C. B. Moler",
  title =        "Matrix Eigensystem Routines ---
                 {EISPACK} Guide",
  volume =       "6",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vii + 387",
  year =         "1976",
  ISBN =         "0-387-06710-8",
  LCCN =         "QA193 .M37, QA267.A1 L43 no.6",
  bibdate =      "Mon Dec 13 15:15:20 1993",
  series =       "Lecture Notes in Computer Science, Editors: 
                 G. Goos and J. Hartmanis"
}

@Book{Garbow1977MER,
  author =       "B. S. Garbow and J. M. Boyle and 
                 J. J. Dongarra and C. B. Moler",
  title =        "Matrix Eigensystem Routines ---
                 {EISPACK} Guide Extension",
  volume =       "51",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 343",
  year =         "1977",
  ISBN =         "0-387-08254-9, 3-540-08254-9",
  LCCN =         "QA193 .M381, QA267.A1,L43 no. 51",
  bibdate =      "Mon Dec 13 15:14:28 1993",
  series =       "Lecture Notes in Computer Science, Editors: 
                 G. Goos and J. Hartmanis",
}

@Article{ GolubKahan1965,
   author = {Golub, Gene H. and Kahan, William},
   title = {Calculating the singular values and pseudo-inverse of a matrix},
   year = {1965},
   journal = {Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis},
   volume = {2},
   number = {2},
   pages = {205–-224}
}

@Article{ GolubReinsch70,
   author = {Golub, Gene H. and Reinsch, C.},
   title = {Singular value decomposition and least squares solutions},
   year = {1970},
   journal = {Numerische Mathematik},
   volume = {14},
   number = {5},
   pages = {403–-420}
}

@Manual{ssvd-package,
    title = {ssvd: Sparse SVD},
    author = {Dan Yang},
    year = {2013},
    note = {R package version 1.0},
    url = {https://CRAN.R-project.org/package=ssvd},
}

@Misc{  jnll77programssvd,
  month    = {January},
  publisher  = {Nash Information Services Inc., Vanier, ON},
  author  = {Nash, John C. and Lefkovitch, L. P.},
  title    = {Programs for sequentially updated principal components and regression
              by singular value decomposition},
  note = {JNfile: 77-NashLefkovitchPrograms-NIS.pdf},
  year    = {1977}
}

@Manual{svd-package,
    title = {svd: Interfaces to Various State-of-Art SVD and Eigensolvers},
    author = {Anton Korobeynikov and Rasmus Munk Larsen and Lawrence Berkeley National Laboratory},
    year = {2019},
    note = {R package version 0.4.2},
    url = {https://CRAN.R-project.org/package=svd},
  }

@Manual{corpcor-package,
    title = {corpcor: Efficient Estimation of Covariance and (Partial) Correlation},
    author = {Juliane Schafer and Rainer Opgen-Rhein and Verena Zuber and Miika Ahdesmaki and A. Pedro Duarte Silva and Korbinian Strimmer.},
    year = {2017},
    note = {R package version 1.6.9},
    url = {https://CRAN.R-project.org/package=corpcor},
  }


@Manual{irlba-package,
    title = {irlba: Fast Truncated Singular Value Decomposition and Principal
Components Analysis for Large Dense and Sparse Matrices},
    author = {Jim Baglama and Lothar Reichel and B. W. Lewis},
    year = {2019},
    note = {R package version 2.3.3},
    url = {https://CRAN.R-project.org/package=irlba},
  }

@article{IEEE754-1985, 
   author={}, 
   journal={ANSI/IEEE Std 754-1985}, 
   title={IEEE Standard for Binary Floating-Point Arithmetic}, 
   year={1985}, 
   volume={}, 
   number={}, 
   pages={0_1-}, 
   keywords={digital arithmetic;standards;IEEE standard;binary floating point arithmetic;Floating-Point Working Group;Microprocessor Standards Subcommittee;Standards Committee;IEEE Computer Society;Digital arithmetic;Standards}, 
   doi={10.1109/IEEESTD.1985.82928}, 
   ISSN={}, 
   month={}
}

@Article{DERFRcpp2011,
    title = {{Rcpp}: Seamless {R} and {C++} Integration},
    author = {Dirk Eddelbuettel and Romain Fran\c{c}ois},
    journal = {Journal of Statistical Software},
    year = {2011},
    volume = {40},
    number = {8},
    pages = {1--18},
    url = {http://www.jstatsoft.org/v40/i08/},
    doi = {10.18637/jss.v040.i08},
}

@Book{Eddelbuettel2013,
    title = {Seamless {R} and {C++} Integration with {Rcpp}},
    author = {Dirk Eddelbuettel},
    publisher = {Springer},
    address = {New York},
    year = {2013},
    note = {ISBN 978-1-4614-6867-7},
    doi = {10.1007/978-1-4614-6868-4},
}

@Article{DEJJB2017,
    title = {{Extending extit{R} with extit{C++}: A Brief Introduction to extit{Rcpp}}},
    author = {Dirk Eddelbuettel and James Joseph Balamuta},
    journal = {PeerJ Preprints},
    year = {2017},
    month = {aug},
    volume = {5},
    pages = {e3188v1},
    issn = {2167-9843},
    url = {https://doi.org/10.7287/peerj.preprints.3188v1},
    doi = {10.7287/peerj.preprints.3188v1},
}


@Manual{Coppola2014,
    title = {lbfgs: Limited-memory BFGS Optimization},
    author = {Antonio Coppola and Brandon Stewart and Naoaki Okazaki},
    year = {2014},
    note = {R package version 1.2.1},
    url = {https://CRAN.R-project.org/package=lbfgs},
}

@article{Nocedal80,
  title = "Updating Quasi-Newton Matrices with Limited Storage",
  author = "Jorge Nocedal",
  year = "1980",
  month = "7",
  doi = "10.1090/S0025-5718-1980-0572855-7",
  language = "English",
  volume = "35",
  pages = "773--782",
  journal = "Mathematics of Computation"
}

@article{LiuN89,
  author    = {Dong C. Liu and 
               Jorge Nocedal},
  title     = {On the limited memory {BFGS} method for large scale optimization},
  journal   = {Math. Program.},
  volume    = {45},
  number    = {1-3},
  pages     = {503--528},
  year      = {1989},
  url       = {https://doi.org/10.1007/BF01589116},
  doi       = {10.1007/BF01589116},
  biburl    = {https://dblp.org/rec/bib/journals/mp/LiuN89},
  bibsource = {dblp computer science bibliography, https://dblp.org}
}

@article{polak1969,
    author = {Polak, E. and Ribiere, G.},
    journal = {Revue Fran{\c{c}}aise d'Informatique et de Recherche Op{\'{e}}rationnelle},
    pages = {35--43},
    title = {{Note sur la convergence de m{\'{e}}thodes de directions conjugu{\'{e}}es}},
    volume = {16},
    year = {1969}
}

@article{Sorenson1969,
  author = {Sorenson, Harold},
  year = {1969},
  month = {12},
  pages = {421--441},
  title = {Comparison of some conjugate direction procedures for function minimization},
  volume = {288},
  journal = {Journal of The Franklin Institute - Engineering and Applied Mathematics},
  doi = {10.1016/0016-0032(69)90253-1}
}

@incollection{Beale1972, 
  author       = {Beale, E. M. L.}, 
  title        = {A Derivation of Conjugate Gradients},
  booktitle    = {Numerical Methods for Nonlinear Optimization},
  editor       = {F. A. Lootsma},
  publisher    = {Academic Press},
  address      = {London},
  pages        = {39--43},
  year         = 1972
}

@article{Gorn1960,
 author = {Gorn, S.},
 title = {Algorithms: Bisection Routine},
 journal = {Commun. ACM},
 issue_date = {March 1960},
 volume = {3},
 number = {3},
 month = mar,
 year = {1960},
 issn = {0001-0782},
 pages = {174--},
 url = {http://doi.acm.org/10.1145/367149.367173},
 doi = {10.1145/367149.367173},
 acmid = {367173},
 publisher = {ACM},
 address = {New York, NY, USA},
} 

@article{Rader1961,
 author = {Rader, Patty Jane},
 title = {Certification of Algorithm 4: Bisection Routine},
 journal = {Commun. ACM},
 issue_date = {March 1961},
 volume = {4},
 number = {3},
 month = mar,
 year = {1961},
 issn = {0001-0782},
 pages = {153--},
 url = {http://doi.acm.org/10.1145/366199.366275},
 doi = {10.1145/366199.366275},
 acmid = {366275},
 publisher = {ACM},
 address = {New York, NY, USA},
} 


@article{Muller56,
  author = {Muller, David E.},
  journal = {Mathematical Tables and Other Aids to Computation},
  note = {Later Mathematics of Computation.},
  pages = { 208--215},
  title = {A Method for Solving Algebraic Equations Using an Automatic Computer},
  volume = 10,
  year = 1956
}

@article{Ridders79,
  author = {Ridders, C.},
  journal = {Circuits and Systems, IEEE Transactions on},
  month = {11},
  number = 11,
  pages = { 979 - 980},
  title = {A new algorithm for computing a single root of a real continuous function},
  volume = 26,
  year = 1979
}



@InProceedings{Gonnet2001,
author="Gonnet, Gaston H.",
editor="Casacuberta, Carles
and Mir{\'o}-Roig, Rosa Maria
and Verdera, Joan
and Xamb{\'o}-Descamps, Sebasti{\`a}",
title="A Study of Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet",
booktitle="European Congress of Mathematics",
year="2001",
publisher="Birkh{\"a}user Basel",
address="Basel",
pages="143--156"
}

@Misc{CoreTeam2013Extns,
  author = {{R Core Team}},
  title  = {{Writing R Extensions}},
  year   = {2013},
  url    = {http://CRAN.R-project.org/doc/manuals/R-exts.html},
}

@Article{Bjork:1967,
  Title                    = {Solving Least Squares Problems by {Gram--Schmidt} Orthogonalization},
  Author                   = {A. Bjork},
  Journal                  = {BIT},
  Year                     = {1967},
  Pages                    = {1--21},
  Volume                   = {7}
}

@Article{Broyden70,
  Title                    = {The convergence of a class of double-rank minimization algorithms},
  Author                   = {Broyden, C. G.},
  Journal                  = {Journal of the Institute of Mathematics and Its Applications},
  Year                     = {1970},
  Pages                    = {76-–90},
  Volume                   = {6}
}

@Article{Davidon91,
  Title                    = {Variable Metric Method for Minimization},
  Author                   = {C. Davidon, William},
  Journal                  = {SIAM J. Optimization},
  Year                     = {1991},

  Month                    = {02},
  Pages                    = {1 - 17},
  Volume                   = {1},

  Doi                      = {10.1137/0801001}
}

@Article{Cauchy1848a,
  Title                    = {M\'{e}thode g\'{e}n\'{e}rale pour la resolution des syst\'{e}mes d'\'{e}quations simultan\'{e}es},
  Author                   = {Cauchy, A.},
  Journal                  = {C. R. Acad. Sci.},
  Year                     = {1848},
  Pages                    = {536--8},
  Volume                   = {27},

  __markedentry            = {[john:6]},
  Address                  = {Paris},
  Owner                    = {john},
  Timestamp                = {2018.11.16}
}

@Article{Chan:1983,
  Title                    = {Algorithms for Computing the Sample Variance: Analysis and Recommendations},
  Author                   = {T. F. C. Chan and G. H. Golub and R. J. LeVeque},
  Journal                  = {The American Statistician},
  Year                     = {1983},
  Number                   = {3},
  Pages                    = {242--247},
  Volume                   = {37}
}

@Article{Cruz2006,
  Title                    = {Spectral residual method without gradient information for solving large-scale nonlinear systems: Theory and experiments},
  Author                   = {William La Cruz and Jos\'{e} Mario Mart\'{\i}nez and Marcos Raydan},
  Journal                  = {Mathematics of Computation},
  Year                     = {2006},
  Pages                    = {1429--1448},
  Volume                   = {75},

  __markedentry            = {[john:6]},
  Institution              = {unknown},
  Owner                    = {john},
  Timestamp                = {2018.11.16}
}

@Article{Davidon59,
  Title                    = {Variable metric method for minimization},
  Author                   = {Davidon, W.C.},
  Year                     = {1959},

  Month                    = {11},

  Doi                      = {10.2172/4222000},
  Place                    = {United States}
}

@InProceedings{Dekker69,
  Title                    = {Finding a zero by means of successive linear interpolation},
  Author                   = {Dekker, T. J.},
  Booktitle                = {Constructive Aspects of the Fundamental Theorem of Algebra},
  Year                     = {1969},
  Editor                   = {Dejon, B. and Henrici, P.},
  Publisher                = {Wiley-Interscience},
  Location                 = {London},
  Owner                    = {john},
  Timestamp                = {2018.08.29}
}

@Book{DennisSchnabel96,
  Title                    = {Numerical Methods for Unconstrained Optimization and Nonlinear Equations},
  Author                   = {Dennis, J. and Schnabel, R.},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Year                     = {1996},

  Address                  = {Englewood Cliffs, NJ},

  Doi                      = {10.1137/1.9781611971200},
  Eprint                   = {http://epubs.siam.org/doi/pdf/10.1137/1.9781611971200},
  Url                      = {http://epubs.siam.org/doi/abs/10.1137/1.9781611971200}
}

@Book{Forsythe77,
  Title                    = {Computer Methods for Mathematical Computations},
  Author                   = {Forsythe, George E. and Malcolm, Michael A. and Moler, Cleve B.},
  Publisher                = {Prentice Hall Professional Technical Reference},
  Year                     = {1977},

  ISBN                     = {0131653326},
  Owner                    = {john},
  Timestamp                = {2018.08.29}
}

@Misc{Fox2006,
  Title                    = {{TEACHER'S CORNER} Structural Equation Modeling With the sem Package in {R}},

  Author                   = {John Fox},
  Year                     = {2006},

  __markedentry            = {[john:6]},
  Journal                  = {STRUCTURAL EQUATION MODELING},
  Numeber                  = {3},
  Owner                    = {john},
  Pages                    = {465–-486},
  Timestamp                = {2018.11.16},
  Volume                   = {13}
}

@Misc{Fox-sem,
  Title                    = {{TEACHER’S CORNER} Structural Equation Modeling With the sem Package in {R}},

  Author                   = {John Fox},
  Year                     = {2006},

  Journal                  = {STRUCTURAL EQUATION MODELING},
  Numeber                  = {3},
  Pages                    = {465–-486},
  Volume                   = {13}
}

@Misc{Fox1997,
  Title                    = {The {Port Mathematical Subroutine Library}, Version 3},
  Author                   = {Phyllis Fox},
  Year                     = {1997},
  __markedentry            = {[john:6]},
  Address                  = {Murray Hill, NJ},
  Owner                    = {john},
  Publisher                = {AT\&T Bell Laboratories},
  Timestamp                = {2018.11.16},
  Url                      = {http://www.bell-labs.com/project/PORT/}
}

@Misc{Fox1997a,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Book{Gentle:1998,
  Title                    = {Numerical Linear Algebra for Applications in Statistics},
  Author                   = {James E. Gentle},
  Publisher                = {Springer},
  Year                     = {1998}
}

@Misc{Gillespie1993a,
  author        = {Dave Gillespie},
  title         = {p2c},
  year          = {1993},
  __markedentry = {[john:6]},
  address       = {Boston, MA},
  owner         = {john},
  publisher     = {Free Software Foundation},
  timestamp     = {2018.11.16},
  url           = {http://directory.fsf.org/project/p2c/},
}

@Misc{Gillespie1993,
  Title                    = {p2c},

  Author                   = {Dave Gillespie},
  Year                     = {1993},

  Address                  = {Boston, MA},
  Publisher                = {Free Software Foundation},
  Url                      = {http://directory.fsf.org/project/p2c/}
}

@Article{Goldberg:1991,
  Title                    = {What Every Computer Scientist Should Know About Floating-Point Arithmetic},
  Author                   = {David Goldberg},
  Journal                  = {ACM Computing Surveys},
  Year                     = {1991},
  Pages                    = {5--48},

  Colume                   = {23},
  Lnumber                  = {1},
  Url                      = {http://www.validlab.com/goldberg/paper.pdf}
}

@Article{Goldfarb70,
  Title                    = {A Family of Variable Metric Updates Derived by Variational Means},
  Author                   = {Goldfarb, D.},
  Journal                  = {Mathematics of Computation},
  Year                     = {1970},
  Number                   = {109},
  Pages                    = {23--26},
  Volume                   = {24}
}

@Article{Hager2005,
  Title                    = {A new conjugate gradient method with 
                              guaranteed descent and an efficient line search},
  Author                   = {William W. Hager and Hongchao Zhang},
  Journal                  = {SIAM J. Optim.},
  Year                     = {2005},
  Number                   = {1},
  Pages                    = {170--192},
  Volume                   = {16}
}

@Manual{HHpackage:2015,
  Title                    = {HH: Statistical Analysis and Data Display: Heiberger and Holland.},
  Author                   = {Richard M. Heiberger},
  Note                     = {R package version 3.1-15},
  Year                     = {2015},

  Url                      = {http://CRAN.R-project.org/package=HH}
}

@Book{Heiberger:1989,
  Title                    = {Computation for the Analysis of Designed Experiments},
  Author                   = {Richard M. Heiberger},
  Publisher                = {Wiley},
  Year                     = {1989}
}

@Book{HH2,
  Title                    = {Statistical Analysis and Data Display: An Intermediate Course with Examples in R},
  Author                   = {Richard M. Heiberger and Burt Holland},
  Publisher                = {Springer-Verlag, New York},
  Year                     = {2015},
  Edition                  = {Second},

  Url                      = {http://www.springer.com/978-1-4939-2121-8}
}

@Book{RthroughExcelbook:2009pub,
  Title                    = {R through Excel: A Spreadsheet Interface for Statistics, Data Analysis, and Graphics},
  Author                   = {Richard M. Heiberger and Erich Neuwirth},
  Publisher                = {Springer},
  Year                     = {2009},

  Url                      = {http://www.springer.com/978-1-4419-0051-7}
}


@Book{Huet2004,
  Title                    = {Statistical tools for nonlinear regression: 
                                a practical guide with {S-PLUS} examples, 2nd Edition},
  Author                   = {S. Huet and A. Bouvier and M.-A. Poursat and E. Jolivet},
  Publisher                = {Springer-Verlag},
  Year                     = {2004},
  Address                  = {Berlin \& New York},
}

@Misc{Johnson2008,
  Title                    = {{The NLopt nonlinear-optimization package}},

  Author                   = {Steven G. Johnson},
  Year                     = {2008},

  __markedentry            = {[john:6]},
  Owner                    = {john},
  Timestamp                = {2018.11.16},
  Url                      = {http://ab-initio.mit.edu/nlopt}
}

@Misc{NLoptSJ,
  Title                    = {{The NLopt nonlinear-optimization package}},

  Author                   = {Steven G. Johnson},
  Year                     = {2008},

  Url                      = {http://ab-initio.mit.edu/nlopt}
}

@Book{Kahaner89,
  Title                    = {Numerical Methods and Software},
  Author                   = {Kahaner, David and Moler, Cleve and Nash, Stephen},
  Publisher                = {Prentice-Hall, Inc.},
  Year                     = {1989},

  Address                  = {Upper Saddle River, NJ, USA},

  ISBN                     = {0-13-627258-4}
}

@Book{Lange:1999,
  Title                    = {Numerical Analysis for Statisticians},
  Author                   = {Kenneth Lange},
  Publisher                = {Springer},
  Year                     = {1999}
}


@Manual{Melville17,
  Title                    = {mize: Unconstrained Numerical Optimization Algorithms},
  Author                   = {James Melville},
  Note                     = {R package version 0.1.1},
  Year                     = {2017},

  Url                      = {https://CRAN.R-project.org/package=mize}
}

@Misc{Mittelm2008,
  Title                    = {Decision Tree for Optimization Software},

  Author                   = {H. Mittelman},
  Year                     = {2008},

  __markedentry            = {[john:6]},
  Owner                    = {john},
  Timestamp                = {2018.11.16},
  Url                      = {http://plato.asu.edu/guide.html}
}

@Misc{Mittelman2008,
  author = {H. Mittelman},
  title  = {Decision Tree for Optimization Software},
  year   = {2008},
  url    = {http://plato.asu.edu/guide.html},
}

@Article{More92linesearch,
  Title                    = {Line Search Algorithms With Guaranteed Sufficient Decrease},
  Author                   = {Jorge J. More and David J. Thuente and Preprint Mcs-p},
  Journal                  = {ACM Trans. Math. Software},
  Year                     = {1992},
  Pages                    = {286--307},
  Volume                   = {20}
}

@Manual{Nash-snewton,
  Title                    = {snewton: Safeguarded Newton and General Gradient Approach for Function Minimization},
  Author                   = {John C. Nash},
  Note                     = {R package version 2017-4.20/r1516},
  Year                     = {2017},

  Url                      = {https://R-Forge.R-project.org/projects/optimizer/}
}

@Misc{RExcel:2014,
  Title                    = {{RExcel}},

  Author                   = {Erich Neuwirth},
  Year                     = {2014},

  Url                      = {http://rcom.univie.ac.at}
}

@Misc{Payne2009a,
  author        = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title         = {GenStat for Windows (12th Edition) Introduction},
  year          = {2009},
  __markedentry = {[john:6]},
  address       = {Hemel Hempstead},
  owner         = {john},
  publisher     = {VSN International},
  timestamp     = {2018.11.16},
}

@Misc{Payne2009,
  Title                    = {GenStat for Windows (12th Edition) Introduction},

  Author                   = {R.W. Payne and D.A. Murray and S.A. Harding and
 D.B. Baird and D.M. Soutar},
  Year                     = {2009},

  Address                  = {Hemel Hempstead},
  Publisher                = {VSN International}
}

@Misc{Powella,
  author   = {Powell,M. J. D.},
  title    = {Direct search algorithms for optimization calculations},
  year     = {1998},
  doi      = {10.1017/S0962492900002841},
  eprint   = {http://journals.cambridge.org/article\_S0962492900002841},
  issn     = {1474-0508},
  journal  = {Acta Numerica},
  numpages = {50},
  pages    = {287--336},
  url      = {http://dx.doi.org/10.1017/S0962492900002841},
  volume   = {7},
}

@Misc{Powell2009a,
  author        = {Powell, M. J. D.},
  title         = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month         = aug,
  year          = {2009},
  __markedentry = {[john:6]},
  owner         = {john},
  timestamp     = {2018.11.16},
  url           = {http://www.damtp.cam.ac.uk/user/na/NA\_papers/NA2009\_06.pdf},
}

@Misc{Powell2009,
  Title                    = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},

  Author                   = {Powell, M. J. D.},
  Month                    = aug,
  Year                     = {2009},

  Url                      = {http://www.damtp.cam.ac.uk/user/na/NA\_papers/NA2009\_06.pdf}
}

@Misc{FAQ731,
  author       = {{R Core Team}},
  title        = {{R FAQ: Frequently Asked Questions on R}},
  year         = {2017},
  address      = {Vienna, Austria},
  organization = {R Foundation for Statistical Computing},
  url          = {https://cran.r-project.org/doc/FAQ/R-FAQ.html\#Why-doesn\_0027t-R-think-these-numbers-are-equal\_003f},
}

@Article{FletPow63,
  Title                    = {A rapidly convergent descent method for minimization},
  Author                   = { R. Fletcher, R. and Powell, M. J. D.},
  Journal                  = {Computer Journal},
  Year                     = {1963},
  Pages                    = {163--168},
  Volume                   = {6},

  Doi                      = {10.2172/4222000},
  Place                    = {United States}
}

@Article{Shanno70A,
  Title                    = {Conditioning of quasi-Newton methods for function minimization},
  Author                   = {Shanno, David F.},
  Journal                  = {Mathematics of Computation},
  Year                     = {1970},
  Number                   = {111},
  Pages                    = {647--656},
  Volume                   = {24}
}

@Article{Shanno70B,
  Title                    = {Optimal conditioning of quasi-Newton methods},
  Author                   = {Shanno, David F. and Kettler, Paul C.},
  Journal                  = {Mathematics of Computation},
  Year                     = {1970},

  Month                    = jul,
  Number                   = {111},
  Pages                    = {657--664},
  Volume                   = {24}
}

@Article{Shrager85RRR,
  Title                    = {A Rapid Robust Rootfinder},
  Author                   = {Richard I. Shrager},
  Journal                  = {Mathematics of Computation},
  Year                     = {1985},

  Month                    = jan,
  Number                   = {169},
  Pages                    = {151--165},
  Volume                   = {44}
}

@Manual{Soetaert-rootSolve,
  Title                    = {rootSolve: Nonlinear root finding, equilibrium and steady-state analysis of ordinary differential equations
},
  Author                   = {Karline Soetaert},
  Note                     = {R package 1.6},
  Year                     = {2009},

  Owner                    = {john},
  Timestamp                = {2018.08.29}
}

@Book{Soetaert2009,
  Title                    = {A Practical Guide to Ecological Modelling. Using R as a Simulation Platform},
  Author                   = {Karline Soetaert and Peter M.J. Herman},
  Publisher                = {Springer},
  Year                     = {2009},
  Note                     = {ISBN 978-1-4020-8623-6},

  Owner                    = {john},
  Pages                    = {372},
  Timestamp                = {2018.08.29}
}

@Misc{StataCorp2009a,
  author        = {StataCorp},
  title         = {Stata Statistical Software: Release 11},
  year          = {2009},
  __markedentry = {[john:6]},
  address       = {College Station, TX},
  owner         = {john},
  publisher     = {StataCorp LP},
  timestamp     = {2018.11.16},
}

@Misc{StataCorp2009,
  Title                    = {Stata Statistical Software: Release 11},

  Author                   = {StataCorp},
  Year                     = {2009},

  Address                  = {College Station, TX},
  Publisher                = {StataCorp LP}
}

@Article{Thacher1960,
  Title                    = {Remark on Algorithm 2: Rootfinder},
  Author                   = {Thacher,Jr., Henry D.},
  Journal                  = {Commun. ACM},
  Year                     = {1960},

  Month                    = aug,
  Number                   = {8},
  Pages                    = {475--},
  Volume                   = {3},

  Acmid                    = {367385},
  Address                  = {New York, NY, USA},
  Doi                      = {10.1145/367368.367385},
  ISSN                     = {0001-0782},
  Issue_date               = {Aug. 1960},
  Owner                    = {john},
  Publisher                = {ACM},
  Timestamp                = {2018.08.29},
  Url                      = {http://doi.acm.org/10.1145/367368.367385}
}

@Article{Wegstein1960,
  Title                    = {Certification: Rootfinder},
  Author                   = {Wegstein, J. and Thacher,Jr., Henry C.},
  Journal                  = {Commun. ACM},
  Year                     = {1960},

  Month                    = jun,
  Number                   = {6},
  Pages                    = {354--},
  Volume                   = {3},

  Acmid                    = {367337},
  Address                  = {New York, NY, USA},
  Doi                      = {10.1145/367297.367337},
  ISSN                     = {0001-0782},
  Issue_date               = {June 1960},
  Owner                    = {john},
  Publisher                = {ACM},
  Timestamp                = {2018.08.29},
  Url                      = {http://doi.acm.org/10.1145/367297.367337}
}

@Article{Wilkinson1961,
  Title                    = {Remarks on Algorithms 2 and 3},
  Author                   = {Wilkinson, J. H.},
  Journal                  = {Commun. ACM},
  Year                     = {1961},

  Month                    = mar,
  Number                   = {3},
  Pages                    = {153--},
  Volume                   = {4},

  Acmid                    = {366273},
  Address                  = {New York, NY, USA},
  Doi                      = {10.1145/366199.366273},
  ISSN                     = {0001-0782},
  Issue_date               = {March 1961},
  Owner                    = {john},
  Publisher                = {ACM},
  Timestamp                = {2018.08.29}
}

@Book{WilkinsonReinsch1971,
  Title                    = {Handbook for Automatic Computation: Linear Algebra (Grundlehren Der Mathematischen Wissenschaften, Vol 186)},
  Author                   = {Wilkinson, J. H. and Reinsch, C. and Bauer, F. L.},
  Publisher                = {SpringerVerlag},
  Year                     = {1986},

  ISBN                     = {387054146}
}

@InCollection{Xie-reproducible,
  Title                    = {knitr: A Comprehensive Tool for Reproducible Research in {R}},
  Author                   = {Yihui Xie},
  Booktitle                = {Implementing Reproducible Computational Research},
  Publisher                = {Chapman and Hall/CRC},
  Year                     = {2014},
  Editor                   = {Victoria Stodden and Friedrich Leisch and Roger D. Peng},
  Note                     = {ISBN 978-1466561595},

  Url                      = {http://www.crcpress.com/product/isbn/9781466561595}
}

@Manual{Xie-knitr,
  Title                    = {knitr: A General-Purpose Package for Dynamic Report Generation in R},
  Author                   = {Yihui Xie},
  Note                     = {R package version 1.20},
  Year                     = {2018},

  Url                      = {https://yihui.name/knitr/}
}

@Article{Malcolm72,
  author  = {Malcolm, Michael A.},
  title   = {Algorithms to Reveal Properties of Floating-Point Arithmetic},
  journal = {Commun. ACM},
  year    = {1972},
  volume  = {15},
  number  = {11},
  pages   = {949–951},
  month   = nov,
}

@Article{Smith1991AFP,
  author     = {David M. Smith},
  title      = {Algorithm 693: {A FORTRAN} Package for Floating-Point Multiple-Precision Arithmetic},
  journal    = {ACM Transactions on Mathematical Software (TOMS)},
  year       = {1991},
  volume     = {17},
  number     = {2},
  pages      = {273--283},
  month      = jun,
  issue_date = {June 1991},
}

@Article{Smith1998,
  author  = {David M. Smith},
  title   = {{Algorithm 786}: Multiple-Precision Complex Arithmetic and Functions},
  journal = {ACM Transactions on Mathematical Software (TOMS)},
  year    = {1998},
  volume  = {24},
  number  = {4},
  pages   = {359--367},
  month   = dec,
}

@Article{ForsytheHenrici1960,
  author  = {G. E. Forsythe and P. Henrici},
  title   = {The cyclic Jacobi method for computing the principal values of a complex matrix},
  journal = {Trans. Amer. Math. Soc.},
  year    = {1960},
  volume  = {94},
  pages   = {1-23},
  note    = {Presented Dec 27, 1956},
}

@Article{Jacobi1846,
  author  = {C. G. J. Jacobi},
  title   = {{\"U}ber ein leichtes Verfahren die in der Theorie der S{\"a}cul{\"a}rst{\"o}rungen vorkommenden Gleichungen numerisch aufzul{\"o}sen},
  journal = {Crelle},
  year    = {1846},
  volume  = {30},
  pages   = {51--94},
}

@Article{Kaiser1972,
  author  = {H. F. Kaiser},
  title   = {{The JK Method: A Procedure for Finding the Eigenvectors and Eigenvalues of a Real Symmetric Matrix}},
  journal = {Computer Journal},
  year    = {1972},
  volume  = {15},
  number  = {3},
  pages   = {271--273},
  month   = {August},
}

@Article{Chartres1962,
  author  = {Chartres, B. A.},
  title   = {{Adaptation of the Jacobi Method for a Computer with Magnetic-tape Backing Store}},
  journal = {The Computer Journal},
  year    = {1962},
  volume  = {5},
  number  = {1},
  pages   = {51-60},
  month   = {01},
}

@Article{Hestenes1958,
  author    = {Magnus R. Hestenes},
  title     = {Inversion of Matrices by Biorthogonalization and Related Results},
  journal   = {Journal of the Society for Industrial and Applied Mathematics},
  year      = {1958},
  volume    = {6},
  number    = {1},
  pages     = {51--90},
  issn      = {03684245},
  publisher = {Society for Industrial and Applied Mathematics},
  url       = {http://www.jstor.org/stable/2098862},
}

@Book{xie2013dynamic,
  title     = {Dynamic Documents with R and knitr},
  publisher = {Taylor \& Francis},
  year      = {2013},
  author    = {Yihui Xie},
  series    = {Chapman \& Hall/CRC The R Series},
  address   = {Boca Raton, Florida},
  edition   = {2nd},
  isbn      = {9781482203530},
  note      = {ISBN 978-1498716963},
  lccn      = {2013018223},
  url       = {https://books.google.ca/books?id=QZwAAAAAQBAJ},
}

@Manual{Gilbert2009,
  title        = {\emph{numDeriv}: Accurate Numerical Derivatives},
  author       = {Paul Gilbert},
  organization = {R Foundation for Statistical Computing},
  year         = {2009},
  note         = {R package version 2009.2-1},
  url          = {http://www.bank-banque-canada.ca/pgilbert},
}

@Book{lapack99,
  title     = {{LAPACK} Users' Guide},
  publisher = {Society for Industrial and Applied Mathematics},
  year      = {1999},
  author    = {Anderson, E. and Bai, Z. and Bischof, C. and Blackford, S. and Demmel, J. and Dongarra, J. and Du Croz, J. and Greenbaum, A. and Hammarling, S. and McKenney, A. and Sorensen, D.},
  address   = {Philadelphia, PA},
  edition   = {Third},
  isbn      = {0-89871-447-8 (paperback)},
}

@Article{Bates1981a,
  author  = {Bates, Douglas M. and Watts, Donald G.},
  title   = {A Relative Offset Orthogonality Convergence Criterion for Nonlinear least Squares},
  journal = {Technometrics},
  year    = {1981},
  volume  = {23},
  number  = {2},
  pages   = {179-183},
}

@Misc{Dalzell2013,
  author = {Dalzell, Catherine and Nash, John C.},
  title  = {{Optimization in R: A conversation with John Nash about optim and optimx}},
  month  = {October},
  year   = {2013},
  note   = {Interview published in IBM Developerworks series. JNfile: Interview\-Optimization\_in\_R.pdf},
  url    = {http://www.ibm.com/developerworks/library/ba\-optimR\-john\-nash/index.html},
}

@Misc{Fox1997b,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Misc{Gillespie1993b,
  author    = {Dave Gillespie},
  title     = {p2c},
  year      = {1993},
  address   = {Boston, MA},
  publisher = {Free Software Foundation},
  url       = {http://directory.fsf.org/project/p2c/},
}

@InProceedings{jn87iface,
  author    = {John C. Nash},
  title     = {Computing environment and installation influences on tests and benchmarks of statistical software},
  booktitle = {Proceedings of the 19th Symposium on the Interface, Computer Science and Statistics, Philadelphia, PA, March 8-11, 1987},
  year      = {1987},
  editor    = {Richard M. Heiberger and Marianne T. Martin},
  pages     = {213 -- 218},
  month     = {March},
  publisher = {American Statistical Association, Alexandria, VA},
  note      = {JNfile: 87Iface-computingenvironment.pdf. Slides in 87iface-computingenvironmentslides.pdf},
}

@Book{Nash1984a,
  title     = {Effective scientific problem solving with small computers},
  publisher = {Reston Publishing Company : Reston, Virginia},
  year      = {1984},
  author    = {Nash, John C.},
  note      = {(front matter only) JNfile: 84summaryESPSSCbook.pdf},
  language  = {English},
  type      = {Book},
}

@Misc{Nash2013,
  author = {Nash, John C.},
  title  = {{Optimization and nonlinear parameter estimation tools: Illustrations with R}},
  month  = {May},
  year   = {2013},
  note   = {Talk given to members of the Institute for Photonic Technology in Jena, Germany, May 23, 2013. JNfile: jena130523.ppt},
}

@TechReport{jn2012optmeth,
  author      = {Nash, John C.},
  title       = {An overview of optimization methods for non-specialists},
  institution = {Telfer School of Management, University of Ottawa},
  year        = {2012},
  month       = {Oct},
  note        = {JNfile: 2012optimizationMethods.pdf},
}

@Misc{Nash2012c,
  author = {Nash, John C.},
  title  = {{How should we provide optimization tools to (possibly unsophisticated) users? Ideas and questions based on some developments in R}},
  month  = {January},
  year   = {2012},
  note   = {Talk given to the Mathematics Department of Arizona State University, January 20, 2012. JNfile: asu120120.ppt},
}

@Misc{Nash2012,
  author = {Nash, John C.},
  title  = {{Timing Rayleigh Quotient minimization in R}},
  month  = {July},
  year   = {2012},
  note   = {This is a `tip' on http://rwiki.sciviews.org/doku.php?id=tips:rqcasestudy. The files related to this study are \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.pdf} and \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.Rnw}},
}

@Manual{jn2011bmchk,
  title  = {{bmchk: Check bounds and masks for bounds-constraints used in nonlinear optimization.}},
  author = {John C. Nash},
  year   = {2011},
  note   = {R package version 2011.06-26/r475. Now subsumed in packages optextras, optplus.},
  url    = {http://R-Forge.R-project.org/projects/optimizer/},
}

@InProceedings{jn2011UserNCEAS,
  author    = {John C. Nash},
  title     = {An effort to improve nonlinear modeling practice},
  booktitle = {{UseR!2011 Schedule, Thursday 18th August}},
  year      = {2011},
  note      = {Presentation at UseR! 2011, University of Warwick, UK, August 18, 2011, 1 page abstract, 23 slides. JNfile: UseR2011-Nash-nonlinear-NCEAS.pdf},
  url       = {http://www.warwick.ac.uk/statsdept/useR-2011/abstracts/140311-nashjohnc.pdf},
}

@InProceedings{jn2011UserOpt,
  author    = {John C. Nash},
  title     = {Developments in optimization tools for R},
  booktitle = {UseR!2011 Schedule, Lightning Talks},
  year      = {2011},
  note      = {Lightning talk at UseR! 2011, University of Warwick, UK, August 16, 2011, 1 page abstract, 15 slides. JNfile: user2011-Nash-optimization.odp, user2011-Nash-optimization.pdf},
  url       = {http://www.warwick.ac.uk/statsdept/user-2011/schedule/LIGHTNING.HTML},
}

@Manual{jn2011useroptfn,
  title  = {{useroptfn: A set of functions to wrap user objective, gradient and hessian functions}},
  author = {John C. Nash},
  year   = {2011},
  note   = {R package version 2011-8.07/r502. Now subsumed in packages optextras, optplus.},
  url    = {http://R-Forge.R-project.org/projects/optimizer/},
}

@TechReport{nash2011autocv,
  author      = {Nash, John C.},
  title       = {Automating the Preparation of Curriculum Vitae Documents},
  institution = {University of Ottawa, Telfer School of Management},
  year        = {2011},
  number      = {WP.2011.07},
  month       = {October},
  note        = {JNfile: Nash-WP2011-07.pdf},
  pages       = {1--20},
  series      = {Telfer School of Management Working Papers},
}

@Misc{Nash2010,
  author = {Nash, John C.},
  title  = {{R} -- an overview},
  year   = {2010},
  note   = {Ottawa Canada Linux Users Group presentation. JNfile: 2010-OCLUG-R-100907.odp, 2010-OCLUG-R-100907.pdf},
  url    = {http://devel.oclug.on.ca/wiki/MeetingPresentations2010},
}

@Misc{Nash2010a,
  author = {Nash, John C.},
  title  = {Optimization and related nonlinear modelling computations in {R} (a 3-hour tutorial)},
  month  = {July},
  year   = {2010},
  note   = {2 page abstract, web site with materials and slides. JNfile: 2010-useR2010Nashtutorial.pdf, 2010-useR--2010--Tutorials.pdf, useR--2010--Optimization-and-related-nonlinear-modelling-computa.pdf},
  url    = {http://user2010.org/program2010.pdf},
}

@Manual{jn2009funcheck,
  title  = {funcheck: Run tests, where possible, on named optimization problem file},
  author = {John C. Nash},
  year   = {2009},
  note   = {R package version 0.4/r201. Now subsumed in other packages.},
  url    = {http://R-Forge.R-project.org/projects/optimizer/},
}

@Misc{Nash2008,
  author = {Nash, John C.},
  title  = {The {R} statistical computing system its uses, strengths and limitations},
  month  = {June},
  year   = {2008},
  note   = {Seminar presented at Transport Canada. JNfile: 2008R4Transport080610.pdf},
}

@Misc{Nash2008a,
  author = {Nash, John C.},
  title  = {R: an open source statistical computing system, or {How} to avoid spending a fortune on quality statistical software},
  month  = {October},
  year   = {2008},
  note   = {Workshop presented at the Telfer School of Management, University of Ottawa. JNfile: 2008R-workshop-081022.pdf, 2008Poster-R-Workshop-22-10-2008.pdf},
}

@Misc{Nash2003,
  author = {Nash, John C.},
  title  = {Weeds in the nonlinear garden II: Why there are still some difficulties in estimating and using nonlinear models},
  month  = {July},
  year   = {2003},
  note   = {Talk to Maths Department of Montana State University, Bozeman, Montana, May 2, 2003. JNfile: bozemantalk03.pdf},
}

@Misc{Nash2002,
  author = {Nash, John C.},
  title  = {Example problems that illustrate uncertainty in optimization results.},
  month  = {August},
  year   = {2002},
  note   = {Slides for presentation at the 2002 MOPTA (McMaster Optimization Theory and Applications) Conference, Hamilton, Aug 1-3, 2002. JNfile: 02Mopta-slides.pdf},
}

@Misc{Nash1999,
  author = {Nash, John C.},
  title  = {Weeds in the nonlinear garden: why there are still some difficulties in estimating and using nonlinear models},
  month  = {November},
  year   = {1999},
  note   = {Slides of lead-off presentation at the Conference on Nonlinear Statistical Models: Implementation and Application, Lexington KY, November 4-6, 1999. JNfile: w9911a.pdf},
}

@Misc{Nash1995,
  author = {Nash, John C.},
  title  = {{Optimization, Statistics and the Internet}},
  month  = {June},
  year   = {1995},
  note   = {Talk given to Statistical Society of Ottawa AGM, June 26, 1995. JNfile: SSO95AGMslides-optandstats.pdf},
}

@TechReport{nash1990AIT,
  author      = {Nash, John C.},
  title       = {Nonlinear estimation of parameters for calibration curves: draft second report prepared for AIT Corporation},
  institution = {Nash Information Services Inc., Ottawa},
  year        = {1990},
  month       = {July},
  note        = {JNfile: 90aitrept.pdf},
}

@Misc{Nash1989,
  author = {Nash, John C.},
  title  = {Appropriate statistical tools for progress-curve modelling of chemical reactions},
  year   = {1989},
  note   = {Poster at 1989 Gordon Conference on Statistics in Chemistry and Chemical Engineering, Jul 31 - Aug 4, New Hampton School. JNfile: 89GordonConf-Appropriateswslides.pdf},
}

@Article{nashnzstat89,
  author  = {Nash, John C.},
  title   = {Data analysis and modelling: a discussion},
  journal = {The New Zealand Statistician},
  year    = {1989},
  volume  = {24},
  number  = {1},
  pages   = {17-21},
  note    = {JNfile: 89NZStatistician-DAAM.pdf},
}

@Misc{Nash1988a,
  author = {John C. Nash},
  title  = {Stretching a software package to its limits: applications of a nonlinear estimation program suite},
  month  = {June},
  year   = {1988},
  note   = {Poster presented at the 1988 Statistical Society of Canada conference in Victoria, BC. June 5-8, 1988. JNfile: 88sscvicposter.pdf, 88SSCVictoria-StretchingaComputerPackagetoitsLimits-sign.pdf},
}

@Misc{Nash1987,
  author = {John C. Nash},
  title  = {Extensions of a parameter estimation package to approach global optimization},
  month  = {May},
  year   = {1987},
  note   = {SIAM Conference on Optimization, Houston TX, May 18-20, 1987. Poster presentation. JNfile: 87SIAM-ModsofParamEsttoGlobalOpt-slides.pdf},
}

@Article{nashcacmlinalg85,
  author  = {Nash, John C.},
  title   = {Design and implementation of a very small linear algebra program package},
  journal = {Communications of the Association for Computing Machinery},
  year    = {1985},
  volume  = {28},
  number  = {1},
  pages   = {89-94},
  month   = {January},
  note    = {Also published as University of Ottawa, Faculty of Administration Working Paper 83-25, 1983. Technical Correspondence on this paper appears in Communications of the ACM, v.28, n.10, pages 1086-1087, October 1985. JNfile: 85CACMp89-nash.pdf, 85ACMp1086-tech\_correspondence.pdf, 83WP25SmalLinAlgPackage.pdf},
}

@Misc{Nash1984,
  author = {Nash, John C.},
  title  = {Solving difficult parameter estimation problems with microcomputers},
  month  = {April},
  year   = {1984},
  note   = {Invited talk at "Microcomputers \& Statistics", Newark, Delaware, April 30, 1984. JNfile: 84-0430NewarkDelaware.pdf},
}

@Manual{nash85leqb05,
  title     = {LEQB05 User{'}s Guide: a very small linear algebra program package},
  author    = {Nash, John C.},
  month     = {July},
  year      = {1984},
  note      = {JNfile: 85LEQB05UserGuide.pdf, revised 1985. Note also PLASTIC, 840124, 84PLASTIC-LinAlgProg.pdf},
  publisher = {Nash Information Services Inc., Ottawa},
}

@InProceedings{nash1983nlreg1,
  author    = {Nash, John C.},
  title     = {Approaches to nonlinear regression on very small computers},
  booktitle = {1983 Proceedings of the Business and Economics Statistics Section},
  year      = {1983},
  pages     = {75-80},
  publisher = {American Statistical Association, Washington DC},
  note      = {Also University of Ottawa, Faculty of Administration, Working Paper 83-58, JNfile: 83Approaches2NonlinRegrn.pdf, JNfile: WP83-58.pdf. Slides also available but not scanned.},
}

@Article{jnia82-2,
  author       = {Nash, John C.},
  title        = {Optimization: Finding the Best},
  journal      = {Interface Age},
  year         = {1982},
  volume       = {7},
  number       = {2},
  month        = {February},
  note         = {JNfile: 82-ia-feb.pdf},
  howpublished = {Interface Age, , v.7, n.2, February 1982, pages 34,36,37,38.},
  referee      = {no},
}

@TechReport{nash1982HJ2ndLook,
  author      = {Nash, John C.},
  title       = {{A second look at the Hooke and Jeeves algorithm}},
  institution = {University of Ottawa, Faculty of Administration},
  year        = {1982},
  note        = {JNfile: 82-2ndLookHookeandJeeves.pdf},
}

@Article{jnsignum81,
  author  = {Nash, John C.},
  title   = {Function Minimization of Special Computers},
  journal = {Signum Newsletter},
  year    = {1981},
  volume  = {16},
  number  = {1},
  pages   = {14--25},
  month   = {March},
  note    = {JNfile: 81signum.pdf},
}

@InProceedings{jn78fit,
  author    = {Nash, John C.},
  title     = {Fitting nonlinear models},
  booktitle = {Proceedings of a Statistical Workshop of October 16-20},
  year      = {1978},
  pages     = {33},
  month     = {December},
  publisher = {Agriculture Canada},
  note      = {JNfile: 78ESRI-Workshop.pdf, 78-FittingNonlinearModels-slides.pdf},
}

@Article{jn77appstat,
  author  = {Nash, John C.},
  title   = {A discrete alternative to the logistic growth function},
  journal = {Applied Statistics},
  year    = {1977},
  volume  = {26},
  number  = {1},
  note    = {JNfile: 77discretelogistic77.pdf. See also extra-unpub/Gani-paperrefsNash78.pdf for commentary after a paper by J. Gani.},
}

@Article{jn77ima,
  author  = {Nash, John C.},
  title   = {Minimizing a nonlinear sum of squares function on a small computer},
  journal = {Journal of the Institute for Mathematics and its Applications},
  year    = {1977},
  volume  = {19},
  pages   = {231-237},
  note    = {JNfile: 77IMA J Appl Math-1977-NASH-231-7.pdf},
}

@Misc{Nash1976,
  author    = {Nash, John C.},
  title     = {Function minimization with small computers},
  month     = {October},
  year      = {1976},
  note      = {JNfile: 76-FunctionMinwithSmallComputers-Cornell.pdf},
  publisher = {presented at an invited seminar at Cornell University},
}

@TechReport{jn75some,
  author      = {Nash, John C.},
  title       = {Some methods for minimizing a sum of squares function},
  institution = {Agriculture Canada},
  year        = {1975},
  month       = {October},
  note        = {Prepared for researchers at Agriculture Canada. Economics Branch, Working Paper No. 1. JNfile: 75SomeMethodsforMinimizingaSumofSquares.pdf},
}

@Booklet{jn7476leastsquares,
  title       = {Some methods for solving single equation linear least squares regression problems},
  author      = {Nash, John C.},
  month       = {June},
  year        = {1974},
  note        = {Revised edition, September 1976. JNfile: 74-76SolvingLSProbs.pdf},
  institution = {Research Division, Economics Branch, Agriculture Canada},
}

@Article{nashduggleby89,
  author  = {Nash, John C. and Duggleby, R. G.},
  title   = {A single parameter family of adjustments for fitting enzyme kinetic models to progress curve data},
  journal = {Biochemical Journal},
  year    = {1989},
  volume  = {257},
  pages   = {57-64},
  note    = {JNfile: 89Nash-Duggleby-2570057.pdf},
}

@Book{Nash1994,
  title     = {Scientific Computing with PCs},
  publisher = {Nash Information Services Inc.: Ottawa},
  year      = {1994},
  author    = {Nash, John C. and Nash, Mary M.},
  month     = {November},
  note      = {This was a rewriting of {Effective scientific problem solving with small computers, Reston, 1984}. JNfile: 94Nash-SCPCs.pdf},
  language  = {English},
  pages     = {199},
  type      = {Book},
}

@Misc{Nash1989b,
  author = {Nash, John C. and Nash, Mary M.},
  title  = {Performance of general purpose minimization software on {L-1} and {L-infinity} approximation problems},
  year   = {1989},
  note   = {Poster at SIAM Optimization Conference, April 2-5, 1989. JNfile: SIAM89JN.pdf},
}

@Article{nashnashapjor88,
  author  = {Nash, John C. and Nash, Stephen G.},
  title   = {Compact algorithms for function minimization},
  journal = {Asia-Pacific Journal of Operations Research},
  year    = {1988},
  volume  = {5},
  number  = {2},
  pages   = {173-192},
  month   = {November},
  note    = {Preprinted as Johns Hopkins University, Mathematical Sciences Department, Technical Report 479, September 1986. JNfile: 88NashNash-APJOR.pdf, 86hopkins479WP.pdf. See also 86SIAMOptNashNashslides.pdf, the slides from the 1986 Society for Industrial and Applied Mathematics conference in Boston, July 21-24, 1986},
}

@InBook{jnsncgeig77,
  chapter   = {3},
  pages     = {24-32},
  title     = {Conjugate Gradient Methods for Solving Algebraic Eigenproblems},
  publisher = {{American Chemical Society}},
  year      = {1977},
  author    = {Nash, John C. and Nash, Stephen G.},
  note      = {JNfile: 77-jnsncgeig.pdf},
  booktitle = {Minicomputers and Large Scale Computations},
}

@TechReport{jnsg76poly,
  author      = {Nash, John C. and Nash, Stephen G.},
  title       = {Programs for finding the roots of polynomials},
  institution = {Research Division, Economics Branch, Agriculture Canada},
  year        = {1976},
  note        = {JNfile: 76Polyroot-JNSGN.pdf},
}

@Manual{jn2011kktc,
  title  = {{kktc: Test the Kuhn Karush Tucker conditions for a proposed function minimum}},
  author = {John C. Nash and Ravi Varadhan},
  year   = {2011},
  note   = {R package version 2011-7.6/r441. Now subsumed in packages optextras, optplus.},
  url    = {http://R-Forge.R-project.org/projects/optimizer/},
}

@InProceedings{jnrv2009user,
  author    = {Nash, John C. and Varadhan, Ravi},
  title     = {Updating \& improving optim(): Unifying optimization algorithms in {R} for smooth, nonlinear problems},
  booktitle = {UseR!2009 Program},
  year      = {2009},
  note      = {UseR! 2009, AgroCampus Ouest, Rennes, France, July 10, 2009, 1 page abstract, 31 slides. JNfile: 2009User-Nash-Varadhan.pdf, 2009UseR-Nash-Varadhan slides.pdf},
  url       = {http://www.r-project.org/conferences/useR-2009/abstracts/book-of-abstracts.pdf},
}

@InProceedings{nash1996nonlinear,
  author    = {Nash, John C. and Velleman, Paul},
  title     = {Nonlinear estimation combining visual fitting with optimization methods},
  booktitle = {Proceedings of the Section on Physical and Engineering Sciences of the American Statistical Association},
  year      = {1996},
  pages     = {256-261},
  publisher = {American Statistical Association},
  note      = {Presented to the 1995 Spring Research Conference on Industrial Statistics, June 1995 in Waterloo, Ontario. JNfile: 96NashVellemanSRC95x.pdf, slides: 95SRC-nashvellemanvisualfittingslides.pdf},
}

@Misc{Nash1987b,
  author = {John C. Nash and Mary Walker-Smith},
  title  = {Sensitivity of nonlinear parameters to estimation criteria: some selected examples and discussion},
  month  = {June},
  year   = {1987},
  note   = {Statistical Society of Canada annual meeting, Quebec, Poster presentation. JNfile: 87SSCjnmws-poster.pdf},
}

@Article{jnmws86infor,
  author  = {Nash, John C. and Walker-Smith, Mary},
  title   = {Using compact and portable function minimization codes in forecasting applications},
  journal = {INFOR},
  year    = {1986},
  volume  = {24},
  number  = {2},
  pages   = {158-168},
  month   = {May},
  note    = {JNfile: 86NashWalkerSmith6288015.pdf},
}

@Misc{Nielsen2000b,
  author      = {H. B. Nielsen},
  title       = {{UCMINF} - an Algorithm for Unconstrained, Nonlinear Optimization},
  month       = {dec},
  year        = {2000},
  institution = {{IMM,} {DTU}},
  isbn_issn   = {IMM-REP-2000-19},
  pages       = {24},
  url         = {http://www2.imm.dtu.dk/pubdb/p.php?642},
}

@Manual{Nielsen2009,
  title        = {\textbf{ucminf}: General-Purpose Unconstrained Non-linear Optimization},
  author       = {Hans Bruun Nielsen and Stig Bousgaard Mortensen},
  organization = {R Foundation for Statistical Computing},
  year         = {2009},
  note         = {R package version 1.0-5},
}

@Misc{Payne2009b,
  author    = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title     = {GenStat for Windows (12th Edition) Introduction},
  year      = {2009},
  address   = {Hemel Hempstead},
  publisher = {VSN International},
}

@Misc{Powell2009b,
  author = {Powell, M. J. D.},
  title  = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month  = aug,
  year   = {2009},
  url    = {http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf},
}

@Misc{Reynaerts2012,
  author = {Jo Reynaerts and Ravi Varadhan and John C. Nash},
  title  = {Enhancing the Convergence Properties of the BLP (1995) Contraction Mapping},
  month  = {August},
  year   = {2012},
  note   = {Updated version of User!2010 submission. JNfile: ReynaertsVaradhanNash-discussion-paper-35.pdf, KUL-Vives-Discussion\_Paper\_35.pdf},
}

@InProceedings{jnrvjr-user10,
  author    = {Jo Reynaerts and Ravi Varadhan and John C. Nash},
  title     = {The Convergence Properties of the {BLP} (1995) Contraction Mapping and Alternative Algorithms in {R}},
  booktitle = {UseR!2010 Program},
  year      = {2010},
  month     = {July},
  note      = {Presented at UseR!2010, Gaithersburg, Maryland, USA; 1 page abstract for 20 minute presentation. JNfile: 2010-User2010-Reynaerts-Varadhan-Nash.pdf, 2010-jrrvjn-useR2010-abstract100301.pdf},
  page      = {128},
  url       = {http://user2010.org/abstracts/-Abstracts.pdf},
}

@Misc{StataCorp2009b,
  author    = {StataCorp},
  title     = {Stata Statistical Software: Release 11},
  year      = {2009},
  address   = {College Station, TX},
  publisher = {StataCorp LP},
}

@Misc{various,
  author    = {various},
  title     = {SAS},
  address   = {Cary, NC},
  publisher = {SAS Institute Inc.},
}

@Article{More1981TUO,
  author          = {Jorge J. Mor{\'e} and Burton S. Garbow and Kenneth E. Hillstrom},
  title           = {Testing Unconstrained Optimization Software},
  journal         = j-TOMS,
  year            = {1981},
  volume          = {7},
  number          = {1},
  pages           = {17--41},
  month           = mar,
  issn            = {0098-3500 (print), 1557-7295 (electronic)},
  acknowledgement = {#ack-nhfb#},
  bibdate         = {Mon Aug 29 22:02:12 1994},
  bibsource       = {http://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib},
  coden           = {ACMSCU},
  fjournal        = {ACM Transactions on Mathematical Software},
  issn-l          = {0098-3500},
  journal-url     = {http://portal.acm.org/toc.cfm?idx=J782},
  keywords        = {nonlinear least squares; optimization software; performance testing; systems of nonlinear equations; unconstrained minimization},
  mrclass         = {90C30},
  mrnumber        = {83b:90144},
}

@Article{LefkovitchNash1976,
  author  = {Lefkovitch, L. P. and Nash, John C.},
  title   = {Principal components and regression by singular value decomposition on a small computer},
  journal = {Applied Statistics},
  year    = {1976},
  volume  = {25},
  number  = {3},
  pages   = {210-216},
  note    = {JNfile: 76NashLefkovitch2347228.pdf},
}

@Article{NashJSSSpecial,
  author    = {John C. Nash},
  title     = {On Best Practice Optimization Methods in R},
  journal   = {Journal of Statistical Software},
  year      = {2014},
  volume    = {60},
  number    = {2},
  pages     = {1--14},
  month     = {Sept},
  issn      = {1548-7660},
  note      = {JNfile: NashJSSSpecial14v60i02.pdf},
  accepted  = {2014-08-05},
  coden     = {JSSOBK},
  day       = {28},
  submitted = {2012-12-26},
  url       = {http://www.jstatsoft.org/v60/i02},
}

@Manual{jn2011rootoned-rforge,
  title     = {rootoned: Roots of one-dimensional functions},
  author    = {John C. Nash},
  year      = {2011},
  note      = {R package version 2011-8.18/r504, JNfile: rootoned-2012-3.12.tar.gz},
  owner     = {john},
  timestamp = {2018.08.29},
  url       = {http://R-Forge.R-project.org/projects/optimizer/},
}

@Manual{p-optimx,
  title        = {\emph{optimx}: A Replacement and Extension of the {optim()} function},
  author       = {John C Nash and Ravi Varadhan},
  organization = {Nash Information Services Inc. and Johns Hopkins University},
  year         = {2011},
  note         = {R package version 2011-3.5},
}

@Article{Nash1974,
  author  = {Nash, John C.},
  title   = {The Hermitian matrix eigenproblem using compact array storage},
  journal = {Computer Physics Communications},
  year    = {1974},
  volume  = {8},
  number  = {2},
  pages   = {85-94},
  note    = {JNfile: 74CompPhysComm8104151087681446090.pdf},
}

@Article{nash90NLEX,
  author  = {Nash, John C. and Walker-Smith, M.},
  title   = {NLEX: Examples and Software Extensions for Nonlinear Modeling and Robust Nonlinear Estimation.},
  journal = {The American Statistician},
  year    = {1990},
  volume  = {44},
  number  = {1},
  pages   = {55},
  note    = {JNfile: 90AMSTAT-NLEX.pdf. There were multiple versions of the underlying work as additions and corrections were made up to 1995. The 1995 version is under 1995 as JNfile: jnmws-exbook-10.1.1.92.2911.pdf},
}

@Article{jn75cj,
  author  = {Nash, John C.},
  title   = {A one-sided transformation method for the singular decomposition and algebraic eigenproblem},
  journal = {Computer Journal},
  year    = {1975},
  volume  = {18},
  number  = {1},
  pages   = {74-76},
  month   = {January},
  note    = {JNfile: 75The Computer Journal-1975-Nash-74-6.pdf},
}

@Article{jnss87,
  author  = {Nash, John C. and Shlien, Seymour},
  title   = {Simple algorithms for the partial singular value decomposition},
  journal = {Computer Journal},
  year    = {1987},
  volume  = {30},
  number  = {3},
  pages   = {268-275},
  note    = {JNfile: 87ComputerJ-Nash-Shlien-268-75.pdf},
}

@Article{jnia82-3,
  author       = {Nash, John C.},
  title        = {Function minimization},
  journal      = {Interface Age},
  year         = {1982},
  volume       = {7},
  number       = {3},
  month        = {March},
  note         = {JNfile: 82-ia-march.pdf},
  howpublished = {Interface Age, v.7, n.3, March 1982, pages 34,36,38,39,40,42.},
  referee      = {no},
}

@Miscel{Bauer1971,
  author    = {Bauer, F. L. and Reinsch, C.},
  title     = {Inversion of positive definite matrices by the {Gauss-Jordan} method},
  year      = {1971},
  note      = {{See Wilkinson et al. 1971}},
  pages     = {45--49},
  publisher = {in Wilkinson {et al.} 1971, pages 45--49},
}

@Misc{Dalzell2013a,
  author = {Dalzell, Catherine and Nash, John C.},
  title  = {{Optimization in R: A conversation with John Nash about optim and optimx}},
  month  = {October},
  year   = {2013},
  note   = {Interview published in IBM Developerworks series. JNfile: Interview\-Optimization\_in\_R.pdf},
  url    = {http://www.ibm.com/developerworks/library/ba\-optimR\-john\-nash/index.html},
}

@Misc{Fox1997c,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Misc{Gillespie1993d,
  author    = {Dave Gillespie},
  title     = {p2c},
  year      = {1993},
  address   = {Boston, MA},
  publisher = {Free Software Foundation},
  url       = {http://directory.fsf.org/project/p2c/},
}

@Misc{Nash2012d,
  author = {Nash, John C.},
  title  = {{Timing Rayleigh Quotient minimization in R}},
  month  = {July},
  year   = {2012},
  note   = {This is a `tip' on http://rwiki.sciviews.org/doku.php?id=tips:rqcasestudy. The files related to this study are \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.pdf} and \url{http://macnash.telfer.uottawa.ca/~nashjc/RQtimes.Rnw}},
}

@Misc{Nash2010b,
  author = {Nash, John C.},
  title  = {{R} -- an overview},
  year   = {2010},
  note   = {Ottawa Canada Linux Users Group presentation. JNfile: 2010-OCLUG-R-100907.odp, 2010-OCLUG-R-100907.pdf},
  url    = {http://devel.oclug.on.ca/wiki/MeetingPresentations2010},
}

@Misc{Nash2010c,
  author = {Nash, John C.},
  title  = {Optimization and related nonlinear modelling computations in {R} (a 3-hour tutorial)},
  month  = {July},
  year   = {2010},
  note   = {2 page abstract, web site with materials and slides. JNfile: 2010-useR2010Nashtutorial.pdf, 2010-useR--2010--Tutorials.pdf, useR--2010--Optimization-and-related-nonlinear-modelling-computa.pdf},
  url    = {http://user2010.org/program2010.pdf},
}

@Misc{Nash2008c,
  author = {Nash, John C.},
  title  = {R: an open source statistical computing system, or {How} to avoid spending a fortune on quality statistical software},
  month  = {October},
  year   = {2008},
  note   = {Workshop presented at the Telfer School of Management, University of Ottawa. JNfile: 2008R-workshop-081022.pdf, 2008Poster-R-Workshop-22-10-2008.pdf},
}

@Misc{Nash1995a,
  author = {Nash, John C.},
  title  = {{Optimization, Statistics and the Internet}},
  month  = {June},
  year   = {1995},
  note   = {Talk given to Statistical Society of Ottawa AGM, June 26, 1995. JNfile: SSO95AGMslides-optandstats.pdf},
}

@Misc{Nash1989d,
  author = {Nash, John C.},
  title  = {Appropriate statistical tools for progress-curve modelling of chemical reactions},
  year   = {1989},
  note   = {Poster at 1989 Gordon Conference on Statistics in Chemistry and Chemical Engineering, Jul 31 - Aug 4, New Hampton School. JNfile: 89GordonConf-Appropriateswslides.pdf},
}

@Misc{Nash1988d,
  author = {John C. Nash},
  title  = {Stretching a software package to its limits: applications of a nonlinear estimation program suite},
  month  = {June},
  year   = {1988},
  note   = {Poster presented at the 1988 Statistical Society of Canada conference in Victoria, BC. June 5-8, 1988. JNfile: 88sscvicposter.pdf, 88SSCVictoria-StretchingaComputerPackagetoitsLimits-sign.pdf},
}

@Misc{Nash1984b,
  author = {Nash, John C.},
  title  = {Solving difficult parameter estimation problems with microcomputers},
  month  = {April},
  year   = {1984},
  note   = {Invited talk at "Microcomputers \& Statistics", Newark, Delaware, April 30, 1984. JNfile: 84-0430NewarkDelaware.pdf},
}

@Misc{Nash1989f,
  author = {Nash, John C. and Nash, Mary M.},
  title  = {Performance of general purpose minimization software on {L-1} and {L-infinity} approximation problems},
  year   = {1989},
  note   = {Poster at SIAM Optimization Conference, April 2-5, 1989. JNfile: SIAM89JN.pdf},
}

@Misc{Nash1987d,
  author = {John C. Nash and Mary Walker-Smith},
  title  = {Sensitivity of nonlinear parameters to estimation criteria: some selected examples and discussion},
  month  = {June},
  year   = {1987},
  note   = {Statistical Society of Canada annual meeting, Quebec, Poster presentation. JNfile: 87SSCjnmws-poster.pdf},
}

@Misc{Nielsen2000c,
  author      = {H. B. Nielsen},
  title       = {{UCMINF} - an Algorithm for Unconstrained, Nonlinear Optimization},
  month       = {dec},
  year        = {2000},
  institution = {{IMM,} {DTU}},
  isbn_issn   = {IMM-REP-2000-19},
  pages       = {24},
  url         = {http://www2.imm.dtu.dk/pubdb/p.php?642},
}

@Manual{Nielsen2009a,
  title        = {\pkg{ucminf}: General-Purpose Unconstrained Non-linear Optimization},
  author       = {Hans Bruun Nielsen and Stig Bousgaard Mortensen},
  organization = {R Foundation for Statistical Computing},
  year         = {2009},
  note         = {R package version 1.0-5},
}

@Misc{Payne2009c,
  author    = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title     = {GenStat for Windows (12th Edition) Introduction},
  year      = {2009},
  address   = {Hemel Hempstead},
  publisher = {VSN International},
}

@Misc{Powell2009d,
  author = {Powell, M. J. D.},
  title  = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month  = aug,
  year   = {2009},
  url    = {http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf},
}

@Misc{StataCorp2009c,
  author    = {StataCorp},
  title     = {Stata Statistical Software: Release 11},
  year      = {2009},
  address   = {College Station, TX},
  publisher = {StataCorp LP},
}

@Misc{variousb,
  author    = {various},
  title     = {SAS},
  address   = {Cary, NC},
  publisher = {SAS Institute Inc.},
}

@Misc{Nash1977,
  author    = {Nash, John C. and Lefkovitch, L. P.},
  title     = {Programs for sequentially updated principal components and regression by singular value decomposition},
  month     = {January},
  year      = {1977},
  note      = {JNfile: 77-NashLefkovitchPrograms-NIS.pdf},
  publisher = {Nash Information Services Inc., Vanier, ON},
}

@Misc{Fox2006a,
  author  = {John Fox},
  title   = {{TEACHER’S CORNER} Structural Equation Modeling With the sem Package in {R}},
  year    = {2006},
  journal = {STRUCTURAL EQUATION MODELING},
  numeber = {3},
  pages   = {465–-486},
  volume  = {13},
}

@Misc{Fox1997e,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Misc{Gillespie1993c,
  author    = {Dave Gillespie},
  title     = {p2c},
  year      = {1993},
  address   = {Boston, MA},
  publisher = {Free Software Foundation},
  url       = {http://directory.fsf.org/project/p2c/},
}

@Misc{Johnson2008a,
  author        = {Steven G. Johnson},
  title         = {{The NLopt nonlinear-optimization package}},
  year          = {2008},
  __markedentry = {[john:6]},
  owner         = {john},
  timestamp     = {2018.11.16},
  url           = {http://ab-initio.mit.edu/nlopt},
}

@Misc{Neuwirth2014,
  author = {Erich Neuwirth},
  title  = {{RExcel}},
  year   = {2014},
  url    = {http://rcom.univie.ac.at},
}

@Misc{Payne2009d,
  author    = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title     = {GenStat for Windows (12th Edition) Introduction},
  year      = {2009},
  address   = {Hemel Hempstead},
  publisher = {VSN International},
}

@Misc{Powell,
  author        = {Powell,M. J. D.},
  title         = {Direct search algorithms for optimization calculations},
  __markedentry = {[john:6]},
  doi           = {10.1017/S0962492900002841},
  eprint        = {http://journals.cambridge.org/article\_S0962492900002841},
  issn          = {1474-0508},
  journal       = {Acta Numerica},
  numpages      = {50},
  owner         = {john},
  pages         = {287--336},
  timestamp     = {2018.11.16},
  url           = {http://dx.doi.org/10.1017/S0962492900002841},
  volume        = {7},
}

@Misc{Powell2009e,
  author = {Powell, M. J. D.},
  title  = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month  = aug,
  year   = {2009},
  url    = {http://www.damtp.cam.ac.uk/user/na/NA\_papers/NA2009\_06.pdf},
}

@Article{Schnabel85,
  author  = {Robert B. Schnabel and John E. Koontz and Barry E. Weiss},
  title   = {A Modular System of Algorithms for Unconstrained Minimization},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1985},
  volume  = {11},
  number  = {4},
  pages   = {419--440},
  month   = dec,
}

@Misc{StataCorp2009d,
  author    = {StataCorp},
  title     = {Stata Statistical Software: Release 11},
  year      = {2009},
  address   = {College Station, TX},
  publisher = {StataCorp LP},
}

@article{Polak69,
   author = {Polak, E. and Ribière, G.},
   year = {1969},
   title = {{Note sur la convergence de méthodes de directions conjuguées}},
   journal = {{Rev. Française Informat Recherche Opérationelle}},
   volume = {3},
   number = {1},
   pages = {35--43}
}

@article{Davidon1959-1991,
author = {Davidon, William C.},
title = {Variable Metric Method for Minimization},
journal = {SIAM Journal on Optimization},
volume = {1},
number = {1},
pages = {1-17},
year = {1991}
}


@article{Margossian2019,
   title={A review of automatic differentiation and its efficient implementation},
   volume={9},
   ISSN={1942-4795},
   url={http://dx.doi.org/10.1002/WIDM.1305},
   DOI={10.1002/widm.1305},
   number={4},
   journal={WIREs Data Mining and Knowledge Discovery},
   publisher={Wiley},
   author={Margossian, Charles C.},
   year={2019},
   month={Mar} 
}

@Misc{Fox2006b,
  author  = {John Fox},
  title   = {{TEACHER’S CORNER} Structural Equation Modeling With the sem Package in {R}},
  year    = {2006},
  journal = {STRUCTURAL EQUATION MODELING},
  numeber = {3},
  pages   = {465–-486},
  volume  = {13},
}


@Misc{R-extns,
  author        = {{\R\ Core Team}},
  title         = {{Writing \R\ Extensions}},
  year          = {2013},
  url           = {http://CRAN.R-project.org/doc/manuals/R-exts.html}
}


@article{koe87as229,
  author = {Koenker, Roger W. and D'Orey, Vasco},
  title = {Algorithm AS 229: Computing regression quantiles},
  journal = {Applied Statistics},
  year = {1987},
  volume = {36},
  pages = {383-393}
}

@Misc{Fox1997d,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Misc{Gillespie1993e,
  author    = {Dave Gillespie},
  title     = {p2c},
  year      = {1993},
  address   = {Boston, MA},
  publisher = {Free Software Foundation},
  url       = {http://directory.fsf.org/project/p2c/},
}

@article{Hager06b,
 author = {William W. Hager and Hongchao Zhang},
 title = {{Algorithm 851: CG DESCENT}, a Conjugate Gradient Method with Guaranteed Descent},
 journal = {ACM Transactions on Mathematical Software},
 volume = {32},
 number = {1},
 year = {2006},
 pages = {113--137},
 publisher = {ACM},
 address = {New York, NY, USA},
 }

@article{JoeNash,
 author = {Joe, Harry and Nash, John C.},
 title = {Numerical Optimization and Surface Estimation with Imprecise Function Evaluations},
 journal = {Statistics and Computing},
 volume = {13},
 number = {3},
 year = {2003},
 issn = {0960-3174},
 pages = {277--286},
 doi = {http://dx.doi.org/10.1023/A:1024226918553},
 publisher = {Kluwer Academic Publishers},
 address = {Hingham, MA, USA},
 }


@MISC{plato,
author = {H. Mittelman},
year = {2008}, 
title = {Decision Tree for Optimization Software},
url = {http://plato.asu.edu/guide.html}
}


@MISC{Powell98,
author = {Powell,M. J. D.},
title = {Direct search algorithms for optimization calculations},
journal = {Acta Numerica},
volume = {7},
issn = {1474-0508},
pages = {287--336},
numpages = {50},
doi = {10.1017/S0962492900002841},
URL = {http://dx.doi.org/10.1017/S0962492900002841},
eprint = {http://journals.cambridge.org/article\_S0962492900002841},
}

@Misc{Powell2009c,
  author = {Powell, M. J. D.},
  title  = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month  = aug,
  year   = {2009},
  url    = {http://www.damtp.cam.ac.uk/user/na/NA\_papers/NA2009\_06.pdf},
}

@Misc{StataCorp2009e,
  author    = {StataCorp},
  title     = {Stata Statistical Software: Release 11},
  year      = {2009},
  address   = {College Station, TX},
  publisher = {StataCorp LP},
}

@Misc{Payne2009e,
  author    = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title     = {GenStat for Windows (12th Edition) Introduction},
  year      = {2009},
  address   = {Hemel Hempstead},
  publisher = {VSN International},
}

@Manual{p-numDeriv,
    title = {{numDeriv}: Accurate Numerical Derivatives},
    author = {Paul Gilbert},
    year = {2009},
    note = {R package version 2009.2-1},
    organization = {R Foundation for Statistical Computing},
    url = {http://www.bank-banque-canada.ca/pgilbert}
}

@Misc{Fox2006c,
  author  = {John Fox},
  title   = {{TEACHER’S CORNER} Structural Equation Modeling With the sem Package in {R}},
  year    = {2006},
  journal = {STRUCTURAL EQUATION MODELING},
  numeber = {3},
  pages   = {465–-486},
  volume  = {13},
}

@Misc{CoreTeam2013,
  author = {{\R\ Core Team}},
  title  = {{Writing \R\ Extensions}},
  year   = {2013},
  url    = {http://CRAN.R-project.org/doc/manuals/R-exts.html},
}

@Misc{Fox1997f,
  author    = {Phyllis Fox},
  title     = {The {Port Mathematical Subroutine Library}, Version 3},
  year      = {1997},
  address   = {Murray Hill, NJ},
  publisher = {AT\&T Bell Laboratories},
  url       = {http://www.bell-labs.com/project/PORT/},
}

@Misc{Gillespie1993f,
  author    = {Dave Gillespie},
  title     = {p2c},
  year      = {1993},
  address   = {Boston, MA},
  publisher = {Free Software Foundation},
  url       = {http://directory.fsf.org/project/p2c/},
}

@Misc{Mittelman2008a,
  author = {H. Mittelman},
  title  = {Decision Tree for Optimization Software},
  year   = {2008},
  url    = {http://plato.asu.edu/guide.html},
}

@Misc{Powellb,
  author   = {Powell,M. J. D.},
  title    = {Direct search algorithms for optimization calculations},
  doi      = {10.1017/S0962492900002841},
  eprint   = {http://journals.cambridge.org/article\_S0962492900002841},
  issn     = {1474-0508},
  journal  = {Acta Numerica},
  numpages = {50},
  pages    = {287--336},
  url      = {http://dx.doi.org/10.1017/S0962492900002841},
  volume   = {7},
}

@Misc{Powell2009f,
  author = {Powell, M. J. D.},
  title  = {{The BOBYQA algorithm for bound constrained optimization without derivatives}},
  month  = aug,
  year   = {2009},
  url    = {http://www.damtp.cam.ac.uk/user/na/NA\_papers/NA2009\_06.pdf},
}

@Misc{StataCorp2009f,
  author    = {StataCorp},
  title     = {Stata Statistical Software: Release 11},
  year      = {2009},
  address   = {College Station, TX},
  publisher = {StataCorp LP},
}

@Misc{Payne2009f,
  author    = {R.W. Payne and D.A. Murray and S.A. Harding and D.B. Baird and D.M. Soutar},
  title     = {GenStat for Windows (12th Edition) Introduction},
  year      = {2009},
  address   = {Hemel Hempstead},
  publisher = {VSN International},
}

@Manual{nlsic-manual,
  title  = {nlsic: Non Linear Least Squares with Inequality Constraints},
  author = {Serguei Sokol},
  year   = {2022},
  note   = {R package version 1.0.2},
  url    = {https://CRAN.R-project.org/package=nlsic},
}

@Manual{NISTnls-manual,
  title  = {NISTnls: Nonlinear least squares examples from NIST},
  author = {original from National Institutes for Standards and Technology http://www.itl.nist.gov/div898/strd/nls/nls_main.shtml R port by Douglas Bates},
  year   = {2012},
  note   = {R package version 0.9-13},
  url    = {https://CRAN.R-project.org/package=NISTnls},
}

@Manual{Deriv-manual,
  title  = {{Deriv}: R-based Symbolic Differentiation},
  author = {Andrew Clausen and Serguei Sokol},
  year   = {2018},
  note   = {Deriv package version 3.8},
  url    = {https://CRAN.R-project.org/package=Deriv},
}

@Manual{Fidler2018,
  title  = {lbfgsb3c: Limited Memory BFGS Minimizer with Bounds on Parameters with optim() 'C' Interface},
  author = {Matthew L Fidler and John C Nash and Ciyou Zhu and Richard Byrd and Jorge Nocedal and Jose Luis Morales},
  year   = {2018},
  note   = {R package version 2018-2.13-1},
  url    = {https://CRAN.R-project.org/package=lbfgsb3c},
}

@Article{Grassmann12,
  author  = {Kofi P. Adragni and R. Dennis Cook and Seongho Wu},
  title   = {{GrassmannOptim}: An {R} Package for Grassmann Manifold Optimization},
  journal = {Journal of Statistical Software},
  year    = {2012},
  volume  = {50},
  number  = {5},
  pages   = {1--18},
  url     = {http://www.jstatsoft.org/v50/i05/},
}

@Article{DEoptimWilmott11,
  author  = {David Ardia and Juan Ospina Arango and Norman Giraldo Gomez},
  title   = {{J}ump-Diffusion Calibration using {D}ifferential {E}volution},
  journal = {Wilmott Magazine},
  year    = {2011},
  volume  = {55},
  pages   = {76--79},
  url     = {http://www.wilmott.com/},
}

@Article{DEoptimRjournal11,
  author  = {David Ardia and Kris Boudt and Peter Carl and Katharine M. Mullen and Brian G. Peterson},
  title   = {{D}ifferential {E}volution with {DEoptim}: An Application to Non-Convex Portfolio Optimization},
  journal = {The R Journal},
  year    = {2011},
  volume  = {3},
  number  = {1},
  pages   = {27--34},
  url     = {http://journal.r-project.org/archive/2011-1/2011-1\_index.html},
}

@Manual{DEoptim13,
  title  = {{DEoptim}: Differential Evolution in {R}},
  author = {David Ardia and Katharine M. Mullen and Brian G. Peterson and Joshua Ulrich},
  year   = {2013},
  note   = {version 2.2-2},
  url    = {http://CRAN.R-project.org/package=DEoptim},
}

@Article{Barzilai88,
  author  = {Jonathan Barzilai and Jonathan M. Borwein},
  title   = {Two-point step size gradient methods},
  journal = {IMA Journal of Numerical Analysis},
  year    = {1988},
  volume  = {8},
  number  = {1},
  pages   = {141--148},
}

@Article{Bates1981,
  author  = {Bates, Douglas M. and Watts, Donald G.},
  title   = {A Relative Off set Orthogonality Convergence Criterion for Nonlinear least Squares},
  journal = {Technometrics},
  year    = {1981},
  volume  = {23},
  number  = {2},
  pages   = {179-183},
}

@Manual{p-nlstools,
  title  = {nlstools: tools for nonlinear regression diagnostics},
  author = {Florent Baty and Marie-Laure Delignette-Muller},
  year   = {2013},
  note   = {R package version 0.0-15},
}

@Manual{Rmalschains12,
  title  = {Continuous Optimization using Memetic Algorithms with Local Search Chains (MA-LS-Chains) in R},
  author = {Christoph Bergmeir and Daniel Molina and Jos\'e M. Ben\'itez},
  year   = {2012},
  note   = {R package version 0.1},
}

@Manual{p-lpSolve,
  title  = {{lpSolve: Interface to Lp\_solve v. 5.5 to solve linear / integer programs}},
  author = {Michel Berkelaar and {others}},
  year   = {2013},
  note   = {R package version 5.6.7},
  url    = {http://CRAN.R-project.org/package=lpSolve},
}

@Manual{p-quadprog,
  title  = {quadprog: Functions to solve Quadratic Programming Problems.},
  author = {S original by Berwin A. Turlach R port by Andreas Weingessel},
  year   = {2013},
  note   = {R package version 1.5-5},
  url    = {http://CRAN.R-project.org/package=quadprog},
}

@PhdThesis{Bhat2011,
  author  = {Bhat, K. A.},
  title   = {Some aspects of mathematical programming in statistics},
  school  = {Post Graduate Deptartment of Statistics, Univ. of Kashmir},
  year    = {2011},
  address = {Srinagar, India},
  note    = {Ph. D. Dissertation},
}

@Book{AIMMS06,
  title     = {{AIMMS optimization modeling}},
  publisher = {Paragon Decision Technology},
  year      = {2006},
  author    = {Bisschop, Johannes and Roelofs, Marcel},
  isbn      = {1847539122},
}

@Article{Boer02atutorial,
  author  = {P. T. De Boer and D.P. Kroese and S. Mannor and R.Y. Rubinstein},
  title   = {A Tutorial on the Cross-Entropy Method},
  journal = {Annals of Operations Research},
  year    = {2002},
  volume  = {134},
}

@Manual{p-R2admb,
  title  = {R2admb: ADMB to R interface functions},
  author = {Ben Bolker and Hans Skaug and Jeff Laake},
  year   = {2013},
  note   = {R package version 0.7.10},
  url    = {http://CRAN.R-project.org/package=R2admb},
}

@Manual{p-bbmle,
  title  = {bbmle: Tools for general maximum likelihood estimation},
  author = {Ben Bolker and R Development Core Team},
  year   = {2013},
  note   = {R package version 1.0.13},
  url    = {http://CRAN.R-project.org/package=bbmle},
}

@Manual{p-adagio,
  title  = {adagio: Discrete and Global Optimization Routines},
  author = {Hans Werner Borchers},
  year   = {2013},
  note   = {R package version 0.5.9},
  url    = {http://CRAN.R-project.org/package=adagio},
}

@Manual{p-nloptwrap,
  title  = {nloptwrap: Wrapper for Package nloptr},
  author = {Hans W Borchers},
  year   = {2013},
  note   = {R package version 0.5-1},
  url    = {http://CRAN.R-project.org/package=nloptwrap},
}

@Manual{p-trustOptim,
  title  = {trustOptim: Trust region nonlinear optimization, efficient for sparse Hessians},
  author = {Michael Braun},
  year   = {2013},
  note   = {R package version 0.8.1},
  url    = {http://CRAN.R-project.org/package=trustOptim},
}

@Article{Bremmerman70,
  author  = {Hans Bremmerman},
  title   = {A method for unconstrained global optimization},
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  year    = {1970},
  volume  = {9},
  pages   = {1--15},
}

@Book{Conn2009b,
  title     = {Introduction to Derivative-Free Optimization},
  publisher = {SIAM},
  year      = {2009},
  author    = {A. R. Conn and K. Scheinberg and L.N.Vicente},
  address   = {Philadelphia},
  isbn      = {0898716683, 9780898716689},
  owner     = {john},
  timestamp = {2018.11.16},
}

@Article{Cruz06spectralresidual,
  author  = {William La Cruz and José Mario Martínez and Marcos Raydan},
  title   = {Spectral residual method without gradient information for solving large-scale nonlinear systems: Theory and experiments},
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  year    = {2006},
  volume  = {75},
  pages   = {1429--1448},
}

@TechReport{Cruz04spectralresidual,
  author      = {William La Cruz and José Mario Martínez and Marcos Raydan},
  title       = {Spectral residual method without gradient information for solving large-scale nonlinear systems: Theory and experiments},
  institution = {unknown},
  year        = {2004},
}

@Manual{p-fitdistrplus,
  title  = {fitdistrplus: help to fit of a parametric distribution to non-censored or censored data},
  author = {Marie Laure Delignette-Muller and Regis Pouillot and Jean-Baptiste Denis and Christophe Dutang},
  year   = {2013},
  note   = {R package version 1.0-1},
}

@Article{linbench03,
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  year    = {2003},
  volume  = {15},
  number  = {9},
  pages   = {803--820},
  month   = {August},
}

@Manual{RcppDE12,
  title  = {RcppDE: Global optimization by differential evolution in C++},
  author = {Dirk Eddelbuettel},
  year   = {2012},
  note   = {R package version 0.1.1. Extends DEoptim which itself is based on DE-Engine (by Rainer Storn)},
  url    = {http://CRAN.R-project.org/package=RcppDE},
}

@Article{Feldman91,
  author     = {Feldman, S. I. and Gay, D. M. and Maimone, M. W. and Schryer, N. L.},
  title      = {Availability of f2c - a Fortran to C converter},
  journal    = {SIGPLAN Fortran Forum},
  year       = {1991},
  volume     = {10},
  number     = {2},
  pages      = {14--15},
  month      = jul,
  address    = {New York, NY, USA},
  issue_date = {July 1991},
  numpages   = {2},
  publisher  = {ACM},
}

@Article{FletReeves64,
  author  = {Fletcher, R. and Reeves, C. M.},
  title   = {Function minimization by conjugate gradients},
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  year    = {1964},
  volume  = {7},
  number  = {2},
  pages   = {149-154},
  month   = {01},
  url     = {https://doi.org/10.1093/comjnl/7.2.149},
}

@Manual{p-sem,
  title  = {sem: Structural Equation Models},
  author = {John Fox and Zhenghua Nie and Jarrett Byrnes},
  year   = {2013},
  note   = {R package version 3.1-301},
  url    = {http://CRAN.R-project.org/package=sem},
}

@Manual{p-trust,
  title  = {trust: Trust Region Optimization},
  author = {Charles J. Geyer},
  year   = {2013},
  note   = {R package version 0.1-4},
  url    = {http://CRAN.R-project.org/package=trust},
}

@InProceedings{Geyer91,
  author    = {C. J. Geyer},
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  year      = {1991},
  pages     = {n.a.},
  publisher = {American Statistical Association, New York},
}

@Article{Glover89,
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  number  = {2},
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}

@Book{HansenWalster2004,
  title     = {Global Optimization Using Interval Analysis},
  publisher = {MIT Press},
  year      = {2004},
  author    = {E. R. Hansen and G. W. Walster},
  address   = {Cambridge, Massachusetts},
}

@Manual{p-Rsymphony,
  title  = {Rsymphony: Symphony in R},
  author = {Reinhard Harter and Kurt Hornik and Stefan Theussl},
  year   = {2013},
  note   = {R package version 0.1-16},
  url    = {http://CRAN.R-project.org/package=Rsymphony},
}

@Article{Hartley1961,
  author  = {Hartley, H. O.},
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  year    = {1961},
  volume  = {3},
  pages   = {269-–280},
}

@Manual{p-nleqslv,
  title  = {nleqslv: Solve systems of non linear equations},
  author = {Berend Hasselman},
  year   = {2013},
  note   = {R package version 2.0},
  url    = {http://CRAN.R-project.org/package=nleqslv},
}

@Manual{p-linprog,
  title  = {{linprog: Linear Programming / Optimization}},
  author = {Arne Henningsen},
  year   = {2012},
  note   = {R package version 0.9-2},
  url    = {http://CRAN.R-project.org/package=linprog},
}

@Article{p-systemfit,
  author  = {Arne Henningsen and Jeff D. Hamann},
  title   = {systemfit: A Package for Estimating Systems of Simultaneous Equations in R},
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  year    = {2007},
  volume  = {23},
  number  = {4},
  pages   = {1--40},
  url     = {http://www.jstatsoft.org/v23/i04/},
}

@Article{Hestenes1952,
  author  = {Hestenes, M. R. and Stiefel, E.},
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  year    = {1952},
  volume  = {49},
  number  = {6},
  pages   = {409--436},
  month   = {12},
}

@Book{holland75,
  title     = {{Adaptation in Natural and Artificial Systems}},
  publisher = {University of Michigan Press},
  year      = {1975},
  author    = {Holland, J. H.},
  address   = {Ann Arbor, MI, USA},
}

@Article{Hooke61,
  author    = {Robert Hooke and T. A. Jeeves},
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  journal   = {J. ACM},
  year      = {1961},
  volume    = {8},
  number    = {2},
  pages     = {212-229},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  ee        = {http://doi.acm.org/10.1145/321062.321069},
}

@Manual{p-ROI,
  title  = {ROI: R Optimization Infrastructure},
  author = {Kurt Hornik and David Meyer and Stefan Theussl},
  year   = {2011},
  note   = {R package version 0.0-7},
  url    = {http://CRAN.R-project.org/package=ROI},
}

@Manual{soma11,
  title  = {soma: General-purpose optimisation with the Self-Organising Migrating Algorithm},
  author = {Jon Clayden; based on the work of Ivan Zelinka},
  year   = {2011},
  note   = {R package version 1.1.0},
  url    = {http://CRAN.R-project.org/package=soma},
}

@Article{Jones70,
  author  = {Jones, A},
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  year    = {1970},
  volume  = {13},
  number  = {3},
  pages   = {301--308},
}

@Article{grofit10,
  author  = {Matthias Kahm and Guido Hasenbrink and Hella Lichtenberg-Frat\'{e} and Jost Ludwig and Maik Kschischo},
  title   = {{grofit}: Fitting Biological Growth Curves with {R}},
  journal = {Journal of Statistical Software},
  year    = {2010},
  volume  = {33},
  number  = {7},
  pages   = {1--21},
  url     = {http://www.jstatsoft.org/v33/i07/},
}

@Article{p-kernlab,
  author  = {Alexandros Karatzoglou and Alex Smola and Kurt Hornik and Achim Zeileis},
  title   = {kernlab -- An {S4} Package for Kernel Methods in {R}},
  journal = {Journal of Statistical Software},
  year    = {2004},
  volume  = {11},
  number  = {9},
  pages   = {1--20},
  url     = {http://www.jstatsoft.org/v11/i09/},
}

@MastersThesis{Karush39,
  author  = {W. Karush},
  title   = {Minima of Functions of Several Variables with Inequalities as Side Constraints},
  school  = {Dept. of Mathematics, Univ. of Chicago},
  year    = {1939},
  address = {Chicago, Illinois},
  note    = {M.Sc. Dissertation},
}

@Book{kelley1987iterative,
  title     = {Iterative Methods for Optimization},
  publisher = {Society for Industrial and Applied Mathematics},
  year      = {1987},
  author    = {Kelley, C.T.},
  series    = {Frontiers in Applied Mathematics},
  isbn      = {9780898714333},
  lccn      = {lc99011141},
  url       = {http://books.google.ca/books?id=Bq6VcmzOe1IC},
}

@InProceedings{Kennedy95PSO,
  author    = {Kennedy, J. and Eberhart, R.},
  title     = {Particle swarm optimization},
  booktitle = {Neural Networks, 1995. Proceedings., IEEE International Conference on},
  year      = {1995},
  volume    = {4},
  pages     = {1942-1948},
}

@Article{Kirkpatrick83,
  author  = {S. Kirkpatrick and C. D. Gelatt Jr. and M. P. Vecchi},
  title   = {Optimization by Simulated Annealing},
  journal = {Science},
  year    = {1983},
  volume  = {220},
  number  = {4598},
  pages   = {671--680},
  month   = {May},
}

@Manual{quantreg13,
  title  = {quantreg: Quantile Regression},
  author = {Roger Koenker},
  year   = {2013},
  note   = {R package version 5.05},
  url    = {http://CRAN.R-project.org/package=quantreg},
}

@Article{Kovalchik12,
  author    = {Kovalchik, Stephanie A. and Varadhan, Ravi and Fetterman, Barbara and Poitras, Nancy E. and Wacholder, Sholom and Katki, Hormuzd A.},
  title     = {A general binomial regression model to estimate standardized risk differences from binary response data},
  journal   = {Statistics in Medicine},
  year      = {2013},
  volume    = {32},
  number    = {5},
  pages     = {808--821},
  publisher = {John Wiley \& Sons, Ltd},
}

@InProceedings{KuhnTucker51,
  author      = {Kuhn, H. W. and Tucker, A. W.},
  title       = {Nonlinear programming},
  booktitle   = {{Proceedings of 2nd Berkeley Symposium}},
  year        = {1951},
  pages       = {481 -– 492},
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  institution = {{University of California Press}},
}

@Article{Kulkarni2011PCA,
  author     = {Kulkarni, Anand J. and Tai, K.},
  title      = {A probability collectives approach with a feasibility-based rule for constrained optimization},
  journal    = {Appl. Comp. Intell. Soft Comput.},
  year       = {2011},
  volume     = {2011},
  pages      = {12:12--12:12},
  month      = jan,
  issn       = {1687-9724},
  acmid      = {2208425},
  address    = {New York, NY, United States},
  articleno  = {12},
  doi        = {10.1155/2011/980216},
  issue_date = {January 2011},
  numpages   = {1},
  publisher  = {Hindawi Publishing Corp.},
  url        = {http://dx.doi.org/10.1155/2011/980216},
}

@Manual{rbenchmark12,
  title  = {rbenchmark: Benchmarking routine for R},
  author = {Wacek Kusnierczyk},
  year   = {2012},
  note   = {R package version 1.0.0},
  url    = {http://CRAN.R-project.org/package=rbenchmark},
}

@Book{Lanczos1956,
  title     = {Applied Analysis},
  publisher = {Prentice-Hall},
  year      = {1956},
  author    = {Cornelius Lanczos},
  address   = {Englewood Cliffs, NJ},
  note      = {Reprinted by Dover, New York, 1988.},
  pages     = {xx + 539},
}

@Article{BUGS09,
  author    = {Lunn, David and Spiegelhalter, David and Thomas, Andrew and Best, Nicky},
  title     = {The BUGS project: Evolution, critique and future directions},
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  year      = {2009},
  volume    = {28},
  number    = {25},
  pages     = {3049--3067},
  publisher = {John Wiley \& Sons, Ltd.},
}

@Article{Lyness1971,
  author     = {Lyness, J. N. and Sande, G.},
  title      = {Algorithm 413: ENTCAF and ENTCRE: evaluation of normalized Taylor coefficients of an analytic function},
  journal    = {Communications of the ACM},
  year       = {1971},
  volume     = {14},
  number     = {10},
  pages      = {669--675},
  month      = oct,
  issue_date = {Oct. 1971},
}

@Article{MSB91,
  author  = {H. M\"{u}hlenbein and D. Schomisch and J. Born},
  title   = {{The Parallel Genetic Algorithm as Function Optimizer}},
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  year    = {1991},
  volume  = {17},
  number  = {6-7},
  pages   = {619-632},
}

@Article{martins03,
  author    = {Martins, Joaquim R. R. A. and Sturdza, Peter and Alonso, Juan J.},
  title     = {The complex-step derivative approximation},
  journal   = {ACM Transactions on Mathematical Software},
  year      = {2003},
  volume    = {29},
  number    = {3},
  pages     = {245--262},
  timestamp = {2010-11-14T22:23:38.000+0100},
  url       = {http://dx.doi.org/10.1145/838250.838251},
}

@Book{mccullagh1989generalized,
  title     = {Generalized Linear Models, Second Edition},
  publisher = {Chapman and Hall},
  year      = {1989},
  author    = {McCullagh, P. and Nelder, J.A.},
  series    = {Monographs on statistics and applied probability},
  isbn      = {9780412317606},
  lccn      = {99013896},
  url       = {http://books.google.ca/books?id=h9kFH2\_FfBkC},
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@Article{rgenoud11,
  author  = {Walter R. {Mebane, Jr.} and Jasjeet S. Sekhon},
  title   = {Genetic Optimization Using Derivatives: The {rgenoud} Package for {R}},
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  year    = {2011},
  volume  = {42},
  number  = {11},
  pages   = {1--26},
  url     = {http://www.jstatsoft.org/v42/i11/},
}

@Manual{Melville18,
  title  = {funconstrain: Functions for Testing Unconstrained Numerical Optimization},
  author = {James Melville},
  year   = {2018},
  note   = {R package version 0.0.0.9001},
  url    = {https://github.com/jlmelville/funconstrain},
}

@Manual{microbench13,
  title  = {microbenchmark: Sub microsecond accurate timing functions.},
  author = {Olaf Mersmann},
  year   = {2013},
  note   = {R package version 1.3-0},
  url    = {http://CRAN.R-project.org/package=microbenchmark},
}

@Article{moler2003ndw,
  author    = {Moler, Cleve and Loan, Charles Van},
  title     = {Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later},
  journal   = {SIAM Review},
  year      = {2003},
  volume    = {45},
  number    = {1},
  pages     = {3-49},
  publisher = {SIAM},
}

@Book{Maple10,
  title     = {Maple~10 Programming Guide},
  publisher = {Maplesoft},
  year      = {2005},
  author    = {Michael B.~Monagan and Keith O.~Geddes and K.~Michael Heal and George Labahn and Stefan M.~Vorkoetter and James McCarron and Paul DeMarco},
  address   = {Waterloo ON, Canada},
}

@Article{Morales2011,
  author     = {Morales, Jos{\'e} Luis and Nocedal, Jorge},
  title      = {Remark on {Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization}},
  journal    = {ACM Trans. Math. Softw.},
  year       = {2011},
  volume     = {38},
  number     = {1},
  pages      = {7:1--7:4},
  month      = {Dec},
  address    = {New York, NY, USA},
  articleno  = {7},
  issue_date = {November 2011},
  numpages   = {4},
  publisher  = {ACM},
  url        = {http://doi.acm.org/10.1145/2049662.2049669},
}

@Article{DEoptimJSS11,
  author  = {Katharine Mullen and David Ardia and David Gil and Donald Windover and James Cline},
  title   = {{DEoptim}: An {R} Package for Global Optimization by Differential Evolution},
  journal = {Journal of Statistical Software},
  year    = {2011},
  volume  = {40},
  number  = {6},
  pages   = {1--26},
  doi     = {10.18637/jss.v040.i06},
  url     = {http://www.jstatsoft.org/v40/i06/},
}

@Manual{p-nnls,
  title  = {{nnls:} The Lawson-Hanson algorithm for non-negative least squares {(NNLS)}},
  author = {Katharine M. Mullen and Ivo H. M. van Stokkum},
  year   = {2012},
  note   = {R package version 1.4},
  url    = {http://CRAN.R-project.org/package=nnls},
}

@Article{Mullen2007,
  author     = {Mullen, Katharine M. and Vengris, Mikas and Stokkum, Ivo H.},
  title      = {Algorithms for separable nonlinear least squares with application to modelling time-resolved spectra},
  journal    = {J. of Global Optimization},
  year       = {2007},
  volume     = {38},
  number     = {2},
  pages      = {201--213},
  month      = jun,
  issn       = {0925-5001},
  issue_date = {June 2007},
  numpages   = {13},
}

@Manual{optimr16,
  title        = {{optimr}: A Replacement and Extension of the 'optim' Function},
  author       = {John C Nash},
  organization = {Nash Information Services Inc. and Johns Hopkins University},
  year         = {2016},
  note         = {R package version 2011-3.5},
  url          = {http://CRAN.R-project.org/package=optimr},
}

@Article{jnsign12,
  author      = {Nash, John C.},
  title       = {{Letter: Weigh less in tonnes?}},
  journal     = {Significance},
  year        = {2012},
  volume      = {9},
  number      = {6},
  pages       = {45},
  month       = {December},
  institution = {{Royal Statistical Society}},
}

@Article{nash2000toptenDantzig,
  author    = {Nash, John C.},
  title     = {The {Dantzig} Simplex Method for Linear Programming},
  journal   = {Computing in Science and Engineering},
  year      = {2000},
  volume    = {2},
  number    = {1},
  pages     = {29-31},
  month     = {January},
  address   = {Piscataway, NJ, USA},
  publisher = {IEEE Educational Activities Department},
}

@Article{nashderive95,
  author  = {Nash, John C.},
  title   = {Computer algebra systems: DERIVE},
  journal = {The American Statistician},
  year    = {1995},
  volume  = {49},
  number  = {1},
  pages   = {93-99},
  month   = {February},
  note    = {JNFile: 95Amstat-DERIVE.pdf},
}

@InProceedings{jnkp79tsl,
  author    = {Nash, John C. and Kevin Price},
  title     = {Fitting two straight lines},
  booktitle = {Proceedings of Computer Science and Statistics: 12th annual Symposium on the Interface : May 10 \& 11, 1979, University of Waterloo, Waterloo, Ontario, Canada, Jane Gentleman (ed.)},
  year      = {1979},
  pages     = {363--367},
  month     = {May},
  publisher = {University of Waterloo, Ontario, Canada},
  note      = {JNFile: 78Fitting2StraightLines.pdf. Page numbers may be in error. Also Engineering and Statistical Research Institute, Agriculture Canada, Contribution No. I-99, 1978},
}

@Article{NashTN2000,
  author  = {Stephen G. Nash},
  title   = {A survey of truncated-{Newton} methods},
  journal = {Journal of Computational and Applied Mathematics},
  year    = {2000},
  volume  = {124},
  pages   = {45--59},
}

@Manual{Nielsen2012,
  title  = {ucminf: General-purpose unconstrained non-linear optimization},
  author = {Hans Bruun Nielsen and Stig Bousgaard Mortensen},
  year   = {2012},
  note   = {R package version 1.1-3},
  url    = {http://CRAN.R-project.org/package=ucminf},
}

@Article{OlearyRust13,
  author    = {O'Leary, Dianne P. and Rust, Bert W.},
  title     = {Variable projection for nonlinear least squares problems},
  journal   = {Computational Optimization and Applications},
  year      = {2013},
  volume    = {54},
  number    = {3},
  pages     = {579-593},
  issn      = {0926-6003},
  publisher = {Springer US},
}

@Article{Pachon2009,
  author  = {Pach\'{o}n, R. and Trefethen, L. N.},
  title   = {{Barycentric-Remez algorithms for best polynomial approximation in the chebfun system}},
  journal = {BIT Numerical Mathematics},
  year    = {2009},
  volume  = {49},
  number  = {4},
  pages   = {721--741},
  doi     = {10.1007/s10543-009-0240-1},
  url     = {http://www.springerlink.com/index/10.1007/s10543-009-0240-1},
}

@Book{Pereyra10,
  title     = {Exponential Data Fitting and its Applications},
  publisher = {Bentham Science Publishers},
  year      = {2010},
  author    = {Pereyra, Victor and Scherer, Godela},
  address   = {Sharjah},
}

@Manual{p-nlme,
  title  = {nlme: Linear and Nonlinear Mixed Effects Models},
  author = {Jose Pinheiro and Douglas Bates and Saikat DebRoy and Deepayan Sarkar and {R Core Team}},
  year   = {2013},
  note   = {R package version 3.1-111},
}

@InProceedings{Rajnarayan2006,
  author    = {Rajnarayan, D. and Wolpert, D.H. and Kroo, I.},
  title     = {Optimization Under Uncertainty Using Probability Collectives},
  booktitle = {{Proceedings of 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, VA}},
  year      = {2006},
  note      = {{AIAA-2006-7033}},
}

@Article{Swendsen86,
  author  = {Swendsen RH and Wang JS},
  title   = {Replica Monte Carlo simulation of spin glasses},
  journal = {Physical Review Letters},
  year    = {1986},
  volume  = {57},
  pages   = {2607--2609},
}

@Book{RitzStreibig2008,
  title     = {Nonlinear Regression with R},
  publisher = {Springer},
  year      = {2008},
  author    = {C. Ritz and J. C. Streibig},
  address   = {New York},
}

@Book{Ross90,
  title     = {Nonlinear estimation.},
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@Manual{p-PBSadmb,
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@Article{p-GA,
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@Book{Seber89Wild,
  title     = {{Nonlinear regression}},
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@Article{rgenoudpolitical,
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@Article{Squire98,
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@Article{TZ89,
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@Manual{p-gaoptim,
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  note   = {R package version 1.1},
  url    = {http://CRAN.R-project.org/package=gaoptim},
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@Manual{p-Rglpk,
  title  = {Rglpk: R/GNU Linear Programming Kit Interface},
  author = {Stefan Theussl and Kurt Hornik},
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  note   = {R package version 0.5-1},
  url    = {http://CRAN.R-project.org/package=Rglpk},
}

@Article{TienEarn10,
  author  = {J H Tien and D J D Earn},
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  number  = {6},
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@Article{Toomet2008,
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  volume  = {27},
  number  = {7},
  pages   = {1--23},
  month   = {7},
  day     = {29},
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@Manual{p-gnm,
  title  = {Generalized nonlinear models in R: An overview of the gnm package},
  author = {Heather Turner and David Firth},
  year   = {2012},
  note   = {R package version 1.0-6},
  url    = {http://CRAN.R-project.org/package=gnm},
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@Book{VenRip1994,
  title     = {Modern Applied Statistics with {S-PLUS}},
  publisher = {Springer-Verlag},
  year      = {1994},
  author    = {William N. Venables and Brian D. Ripley},
  address   = {Berlin, Germany~/ London, UK},
  pages     = {xii + 462},
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@Article{WatsonHompack97,
  author     = {Watson, Layne T. and Sosonkina, Maria and Melville, Robert C. and Morgan, Alexander P. and Walker, Homer F.},
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  number     = {4},
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  numpages   = {36},
  publisher  = {ACM},
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@Article{Wenzel99,
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@Manual{p-nloptr,
  title  = {nloptr: \R\ interface to {NLopt}},
  author = {Jelmer Ypma},
  year   = {2013},
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@Manual{p-Rmpfr,
  title  = {Rmpfr: R MPFR - Multiple Precision Floating-Point Reliable},
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  year   = {2020},
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  url    = {https://CRAN.R-project.org/package=Rmpfr},
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@Manual{p-alabama,
  title  = {alabama: Constrained Nonlinear Optimization},
  author = {Ravi Varadhan},
  year   = {2015},
  note   = {R package version 2015.3-1},
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@Manual{Borchers-pracma,
  title  = {pracma: Practical Numerical Math Functions},
  author = {Hans Werner Borchers},
  year   = {2017},
  note   = {R package version 2.0.7},
  url    = {https://CRAN.R-project.org/package=pracma},
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@Manual{Colombi2012,
  title  = {smco: A simple Monte Carlo optimizer using adaptive coordinate sampling},
  author = {Prof. Juan David Velasquez H. Universidad Nacional de Colombia},
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  note   = {R package version 0.1},
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@Article{Dominici2002,
  author    = {F. Dominici},
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  year      = {2002},
  volume    = {156},
  number    = {3},
  pages     = {193--202},
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}

@Article{Eugster2012,
  author    = {Manuel J. A. Eugster and Torsten Hothorn and Friedrich Leisch},
  title     = {Domain-Based Benchmark Experiments: Exploratory and Inferential Analysis},
  journal   = {Austrian Journal of Statistics},
  year      = {2012},
  volume    = {41},
  number    = {1},
  pages     = {5--26},
  owner     = {john},
  timestamp = {2018.11.16},
  url       = {http://www.stat.tugraz.at/AJS/ausg121/121Leisch.pdf},
}

@Article{Eugster2011,
  author      = {Manuel J. A. Eugster and Friedrich Leisch},
  title       = {Exploratory Analysis of Benchmark Experiments -- An Interactive Approach},
  journal     = {Computational Statistics},
  year        = {2011},
  volume      = {26},
  number      = {4},
  pages       = {699--710},
  doi         = {10.1007/s00180-010-0227-z},
  owner       = {john},
  preprinturl = {http://epub.ub.uni-muenchen.de/10604/},
  timestamp   = {2018.11.16},
}

@Manual{Ghalanos2012,
  title     = {Rsolnp: General Non-linear Optimization Using Augmented Lagrange Multiplier Method},
  author    = {Alexios Ghalanos and Stefan Theussl},
  year      = {2012},
  note      = {R package version 1.14},
  owner     = {john},
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  url       = {http://CRAN.R-project.org/package=Rsolnp},
}

@InProceedings{Golub1979,
  author    = {Gene H. Golub and Randall J. LeVeque},
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  year      = {1979},
  pages     = {1--12},
  owner     = {john},
  timestamp = {2018.11.16},
}

@Article{Golub1973,
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  year      = {1973},
  volume    = {10},
  number    = {2},
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}

@Book{Koenker2005,
  title     = {Quantile regression},
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  year      = {2005},
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@InProceedings{McCarthy1988,
  author    = {William F. McCarthy and David V. Bateman},
  title     = {The use of mathematical programming for designing dual frame surveys},
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  year      = {1988},
  pages     = {652--653},
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@Manual{p-likelihood,
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@Book{variousa,
  title     = {SAS},
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@PhdThesis{Ye1987,
  author    = {Yinyu Ye},
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  address   = {Palo Alto, California},
  note      = {Ph. D. Dissertation},
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@Book{cnm79,
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@Book{Price2005,
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@Book{Acton1970,
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@Manual{p-minqa,
  title        = {\emph{minqa}: Derivative-Free Optimization Algorithms by Quadratic Approximation},
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  organization = {R Foundation for Statistical Computing},
  year         = {2010},
  note         = {R package version 1.1.13},
  url          = {http://CRAN.R-project.org/package=minqa},
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  year    = {2001},
  volume  = {27},
  pages   = {340--349},
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@Book{Brent1973,
  title     = {Algorithms for Minimization without Derivatives},
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@Article{Dai2001,
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@Article{Dai1999,
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@InProceedings{Deng2006,
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  year      = {2006},
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@Book{Dennis1983,
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@Book{Dixon1972,
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@Article{Marquardt1963,
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@Article{Fletcher1970,
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@Article{Fox1978,
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@Article{Gentleman2004,
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@Book{Gill1981,
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@Article{Hager2006b,
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@Article{Hager2006a,
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@Article{Lu94limitedmemory,
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@InCollection{McCullough2004,
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@Article{McCullough2000,
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@TechReport{More1980,
  author               = {Mor\'{e}, J. J. and Garbow, B. S. and Hillstrom, K. E.},
  title                = {{ANL-80-74}, {User Guide for MINPACK-1}},
  institution          = {Argonne National Laboratory},
  year                 = {1980},
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  citeulike-linkout-2  = {http://www.mcs.anl.gov/\~{}more/ANL8074b.pdf},
  keywords             = {algorithm, fitting, optimization},
  organization         = {Argonne National Laboratory},
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@InProceedings{jnCTAC87,
  author    = {Nash, John C.},
  title     = {Function minimization on small or special computers},
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  editor    = {Noye, J. and Fletcher, C.},
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@TechReport{Nielsen2000,
  author      = {H. B. Nielsen},
  title       = {{UCMINF} - an Algorithm for Unconstrained, Nonlinear Optimization},
  institution = {{ Department of Mathematical Modelling, Technical University of Denmark.}},
  year        = {2000},
  month       = {dec},
  note        = {Report IMM-REP-2000-18},
  pages       = {24},
  url         = {http://www2.imm.dtu.dk/~hbn/publ/TR0019.ps},
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@Article{Powell2008,
  author  = {Powell, M. J. D.},
  title   = {{Developments of NEWUOA for Minimization Without Derivatives}},
  journal = {IMA Journal of Numerical Analysis},
  year    = {2008},
  volume  = {28},
  number  = {4},
  pages   = {649-664},
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@Article{Powell2006,
  author        = {M. J. D. Powell},
  title         = {The {NEWUOA} software for unconstrained optimization without derivatives},
  journal       = {Large Scale Nonlinear Optimization},
  year          = {2006},
  pages         = {255--297},
  date-added    = {2008-11-26 00:45:42 +0100},
  date-modified = {2008-11-26 00:52:47 +0100},
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@Article{Powell2002,
  author    = {M. J. D. Powell},
  title     = {UOBYQA: unconstrained optimization by quadratic approximation},
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  year      = {2002},
  volume    = {92},
  number    = {3},
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  month     = {May},
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  keywords  = {approximation},
  posted-at = {2010-08-31 04:22:15},
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  url       = {http://dx.doi.org/10.1007/s101070100290},
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@Article{Price1977,
  author    = {Wyn L. Price},
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  volume    = {20},
  number    = {4},
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@Book{Ratkowsky1983,
  title     = {Nonlinear Regression Modeling: A Unified Practical Approach},
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@Article{Rosenbrock1960,
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@Manual{p-dfoptim,
  title        = {dfoptim: Derivative-free Optimization},
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  note         = {R package version 2011.12-9},
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@Book{Wolfram2000,
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@Article{Zhu1997LBFGS,
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  acmid      = {279236},
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  numpages   = {11},
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@Book{Rauch83,
  title     = {Applications of Nonlinear Programming to Optimization and Control},
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@Article{Levenberg1944,
  author  = {Kenneth Levenberg},
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@Article{Belisle1992a,
  author    = {C. J. P. Belisle},
  title     = {Convergence Theorems for a Class of Simulated Annealing Algorithms on {$\R^d$}},
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  year      = {1992},
  volume    = {29},
  pages     = {885--895},
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@Article{Birgin2000a,
  author    = {Ernesto G. Birgin and Jos{\'e} Mario Mart{\'\i}nez and Marcos Raydan},
  title     = {Nonmonotone Spectral Projected Gradient Methods on Convex Sets},
  journal   = {SIAM J Optimization},
  year      = {2000},
  volume    = {10},
  number    = {4},
  pages     = {1196--1211},
  month     = jun,
  owner     = {john},
  timestamp = {2018.11.16},
  url       = {http://epubs.siam.org/sam-bin/dbq/article/33096},
}

@Article{Byrd1995a,
  author          = {Richard H. Byrd and Peihuang Lu and Jorge Nocedal and Ci You Zhu},
  title           = {A Limited Memory Algorithm for Bound Constrained Optimization},
  journal         = {SIAM Journal on Scientific Computing},
  year            = {1995},
  volume          = {16},
  number          = {5},
  pages           = {1190--1208},
  month           = sep,
  issn            = {1064-8275 (print), 1095-7197 (electronic)},
  acknowledgement = {#ack-nhfb#},
  acmid           = {210980},
  address         = {Philadelphia, PA, USA},
  bibdate         = {Fri Dec 4 16:17:35 MST 1998},
  coden           = {SJOCE3},
  doi             = {10.1137/0916069},
  issue_date      = {Sept. 1995},
  mrclass         = {90C30 (65K05)},
  mrnumber        = {96e:90039},
  mrreviewer      = {Henry Wolkowicz},
  numpages        = {19},
  publisher       = {Society for Industrial and Applied Mathematics},
  url             = {http://dx.doi.org/10.1137/0916069},
}

@Article{Duggleby1984,
  author    = {Duggleby, R G},
  title     = {Regression Analysis of Nonlinear {Arrhenius} Plots: An Empirical Model and a Computer Program.},
  journal   = {Computers in Biology and Medicine},
  year      = {1984},
  volume    = {14},
  number    = {4},
  pages     = {447-55},
  owner     = {john},
  timestamp = {2018.11.16},
}

@Book{Huet1996a,
  title           = {Statistical tools for nonlinear regression: a practical guide with {S-PLUS} examples, 2nd Edition},
  publisher       = {Springer-Verlag},
  year            = {1996},
  author          = {S. (Sylvie) Huet and others},
  series          = {Springer series in statistics},
  address         = {Berlin \& New York},
  isbn            = {0-387-94727-2},
  acknowledgement = {#ack-nhfb#},
  bibdate         = {Tue Sep 22 08:25:09 MDT 1998},
  isbn-13         = {978-0-387-94727-3},
  keywords        = {Regression analysis; Nonlinear theories; Parameter estimation.},
  lccn            = {QA278.2.S73 1996},
  owner           = {john},
  pages           = {ix + 154},
  timestamp       = {2018.11.16},
}

@Article{Johannesen2003,
  author    = {H. Johannesen and J. Aamand},
  title     = {Mineralization of Aged Atrazine, Terbuthylazine, 2,4-D, and Mecoprop in Soil and Aquifer Sediment},
  journal   = {Environmental Toxicology and Chemistry},
  year      = {2003},
  volume    = {22},
  pages     = {722--729},
  timestamp = {2018.11.16},
}

@Article{Cauchy1848,
  author  = {Cauchy, A.},
  title   = {Méthode générale pour la resolution des systémes d’équations simultanées},
  journal = {C. R. Acad. Sci.},
  year    = {1848},
  volume  = {27},
  pages   = {536-8},
  address = {Paris},
}

@Book{Conn2009,
  title     = {Introduction to Derivative-Free Optimization},
  publisher = {Society for Industrial and Applied Mathematics},
  year      = {2009},
  author    = {Conn, Andrew R. and Scheinberg, Katya and Vicente, Luis N.},
  address   = {Philadelphia, PA, USA},
  isbn      = {0898716683, 9780898716689},
}

@InProceedings{jn1987termin,
  author    = {John C. Nash},
  title     = {Termination strategies for nonlinear parameter determination},
  booktitle = {Proceedings of the Australian Society for Operations Research Annual Conference},
  year      = {1987},
  editor    = {Santosh Kumar},
  pages     = {322 -- 334},
  address   = {Melbourne, Australia},
  month     = {October},
  note      = {JNfile: 87ASOR-JNscan2.pdf, 87ASORpresentationandprogram.pdf},
}

@Book{nlpor14,
  title     = {{Nonlinear Parameter Optimization Using R Tools}},
  publisher = {John Wiley \& Sons: Chichester},
  year      = {2014},
  author    = {Nash, John C.},
  month     = {May},
  isbn      = {978-1-118-56928-3},
  note      = {Companion website (see http://www.wiley.com//legacy/wileychi/nash/). JNfile: 14nlpor.pdf},
  language  = {English},
  pages     = {304},
  type      = {Book},
  url       = {http://www.wiley.com//legacy/wileychi/nash/},
}

@Article{NelderMead65,
  author  = {J. A. Nelder and R. Mead},
  title   = {A Simplex Method for Function Minimization},
  journal = {Computer Journal},
  year    = {1965},
  volume  = {7},
  number  = {4},
  pages   = {308--313},
  month   = {January},
}

@Book{bateswatts,
  title     = {Nonlinear Regression Analysis and Its Applications},
  publisher = {Wiley},
  year      = {1988},
  author    = {D. M. Bates and D. G. Watts},
}

@Article{Schnabel1985,
  author     = {Schnabel, Robert B. and Koonatz, John E. and Weiss, Barry E.},
  title      = {A modular system of algorithms for unconstrained minimization},
  journal    = {ACM Trans. Math. Softw.},
  year       = {1985},
  volume     = {11},
  number     = {4},
  pages      = {419--440},
  month      = dec,
  issn       = {0098-3500},
  note       = {Original report CU-CS-480-82 from 1982, revised. The UNCMIN Manual.},
  acmid      = {6192},
  address    = {New York, NY, USA},
  doi        = {10.1145/6187.6192},
  issue_date = {Dec. 1985},
  numpages   = {22},
  owner      = {john},
  publisher  = {ACM},
  timestamp  = {2018.11.16},
  url        = {http://doi.acm.org/10.1145/6187.6192},
}

@Article{Torczon95patternsearch,
  author  = {Virginia Torczon},
  title   = {Pattern Search Methods for Nonlinear Optimization},
  journal = {SIAG/OPT Views and News},
  year    = {1995},
  volume  = {6},
  pages   = {7--11},
}

@Manual{minpacklm12,
  title        = {minpack.lm: R interface to the Levenberg-Marquardt nonlinear least-squares algorithm found in MINPACK, plus support for bounds},
  author       = {Timur V. Elzhov and Katharine M. Mullen and Andrej-Nikolai Spiess and Ben Bolker},
  organization = {R Project for Statistical Computing},
  year         = {2012},
  note         = {R package version 1.1-6},
  url          = {http://CRAN.R-project.org/package=minpack.lm},
}

@Book{jncnm79,
  title         = {Compact numerical methods for computers : linear algebra and function minimisation},
  publisher     = {Hilger: Bristol},
  year          = {1979},
  author        = {Nash, J. C.},
  address       = {Bristol},
  isbn          = {0852743300},
  note          = {Second Edition, 1990, Bristol: Institute of Physics Publications.},
  catalogue-url = { http://nla.gov.au/nla.cat-vn1060620 },
  language      = {English},
  life-dates    = { 1979 - },
  pages         = {ix + 227},
  subjects      = { Numerical analysis - Data processing. },
  timestamp     = {2018.11.16},
  type          = {Book},
}

@Book{jnmws87,
  title     = {Nonlinear Parameter Estimation: An Integrated System in BASIC},
  publisher = {Marcel Dekker},
  year      = {1987},
  author    = {John C. Nash and Mary Walker-Smith},
  address   = {New York},
  isbn      = {0-8247-7819-7},
  note      = {See \url{http://www.nashinfo.com/nlpe.htm} for a downloadable version of this plus some extras.},
  language  = {English},
  pages     = {xiii + 493},
  type      = {Book},
}

@Manual{Rcite,
  title        = {{\textbf{R}}: A Language and Environment for Statistical Computing},
  author       = {{R Development Core Team}},
  organization = {R Foundation for Statistical Computing},
  address      = {Vienna, Austria},
  year         = {2008},
  note         = {{ISBN} 3-900051-07-0},
  url          = {http://www.R-project.org},
}

@Article{p-BB,
  author    = {Ravi Varadhan and Paul Gilbert},
  title     = {{\textbf{BB}}: An {\proglang{R}} Package for Solving a Large System of Nonlinear Equations and for Optimizing a High-Dimensional Nonlinear Objective Function},
  journal   = {Journal of Statistical Software},
  year      = {2009},
  volume    = {32},
  number    = {4},
  pages     = {1--26},
  owner     = {john},
  timestamp = {2018.11.16},
  url       = {http://www.jstatsoft.org/v32/i04/},
}

@Manual{Nash2011c,
  title        = {{\emph{Rcgmin}}: Conjugate Gradient Minimization of Nonlinear Functions with Box Constraints},
  author       = {John C. Nash},
  organization = {Nash Information Services Inc.},
  year         = {2011},
  note         = {R package version 2011-2.10},
}

@Article{JNRV11,
  author    = {John C. Nash and Ravi Varadhan},
  title     = {Unifying Optimization Algorithms to Aid Software System Users: optimx for {R}},
  journal   = {Journal of Statistical Software},
  year      = {2011},
  volume    = {43},
  number    = {9},
  pages     = {1--14},
  month     = {August},
  issn      = {1548-7660},
  note      = {JNfile: JSS-v43i09.pdf},
  accepted  = {2011-08-05},
  bibdate   = {2011-08-05},
  coden     = {JSSOBK},
  day       = {24},
  doi       = {10.18637/jss.v043.i09},
  submitted = {2010-08-12},
  url       = {http://www.jstatsoft.org/v43/i09},
}

@Manual{jn2011Rvmminx,
  title        = {Rvmminx: Variable metric nonlinear function minimization with bounds constraints},
  author       = {John C. Nash},
  organization = {Nash Information Services Inc.},
  year         = {2011},
  note         = {R package version 2011-7.6/r440, JNfile: Rvmminx-2011-5.10.tar.gz},
  url          = {http://R-Forge.R-project.org/projects/optimizer/},
}

@Manual{Molga2005,
  title     = {Test functions for optimization needs},
  author    = {Molga, M. and Smutnicki, C.},
  year      = {2005},
  owner     = {john},
  timestamp = {2018.11.16},
  url       = {http://www.zsd.ict.pwr.wroc.pl/files/docs/functions.pdf},
}

@Article{Xiang2013,
  author    = {Yang Xiang and Sylvain Gubian and Brian Suomela and Julia Hoeng},
  title     = {Generalized Simulated Annealing for Global Optimization: the GenSA Package for R},
  journal   = {The R Journal},
  year      = {2013},
  volume    = {5},
  number    = {1},
  pages     = {13--29},
  month     = jun,
  owner     = {john},
  timestamp = {2018.11.16},
  url       = {http://journal.r-project.org/archive/2013-1/xiang-gubian-suomela-etal.pdf},
}

@Manual{jnnlmrt2012,
  title  = {nlmrt: Functions for nonlinear least squares solutions},
  author = {John C. Nash},
  month  = {August},
  year   = {2012},
  note   = {R package version 2012-8.12, \url{http://CRAN.R-project.org/package=nlmrt}},
}

@Comment{jabref-meta: databaseType:bibtex;}
