
---- Minimum Surface Area Problem -----
mx: 10     my: 10   

iter =   0, Function value 1.46076, Residual: 0.207785 
iter =   0, Function value 1.43581, Residual: 0.187715 
iter =   1, Function value 1.41867, Residual: 0.0159523 
iter =   2, Function value 1.41847, Residual: 0.000148677 
iter =   3, Function value 1.41847, Residual: < 1.0e-6 
Tao Object: 2 MPI processes
  type: nls
    Newton steps: 3
    BFGS steps: 0
    Gradient steps: 0
  TaoLineSearch Object: 2 MPI processes
    type: more-thuente
    maximum function evaluations=30
    tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9
    total number of function evaluations=0
    total number of gradient evaluations=0
    total number of function/gradient evaluations=1
    Termination reason: 1
  KSP Object: (tao_nls_) 2 MPI processes
    type: stcg
    maximum iterations=15, initial guess is zero
    tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: (tao_nls_) 2 MPI processes
    type: bjacobi
      number of blocks = 2
      Local solver information for first block is in the following KSP and PC objects on rank 0:
      Use -tao_nls_ksp_view ::ascii_info_detail to display information for all blocks
    KSP Object: (tao_nls_sub_) 1 MPI processes
      type: preonly
      maximum iterations=10000, initial guess is zero
      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
      left preconditioning
      using NONE norm type for convergence test
    PC Object: (tao_nls_sub_) 1 MPI processes
      type: ilu
        out-of-place factorization
        0 levels of fill
        tolerance for zero pivot 2.22045e-14
        matrix ordering: natural
        factor fill ratio given 1., needed 1.
          Factored matrix follows:
            Mat Object: 1 MPI processes
              type: seqaij
              rows=50, cols=50
              package used to perform factorization: petsc
              total: nonzeros=364, allocated nonzeros=364
                not using I-node routines
      linear system matrix = precond matrix:
      Mat Object: (tao_nls_sub_) 1 MPI processes
        type: seqaij
        rows=50, cols=50
        total: nonzeros=364, allocated nonzeros=364
        total number of mallocs used during MatSetValues calls=0
          not using I-node routines
    linear system matrix = precond matrix:
    Mat Object: 2 MPI processes
      type: mpiaij
      rows=100, cols=100
      total: nonzeros=784, allocated nonzeros=784
      total number of mallocs used during MatSetValues calls=0
  total KSP iterations: 36
  convergence tolerances: gatol=0.0001,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=2.64235e-08
  Objective value=1.41847
  total number of iterations=3,                          (max: 50)
  total number of function/gradient evaluations=10,      (max: 4000)
  total number of Hessian evaluations=4
  Solution converged:    ||g(X)|| <= gatol
