Date: 2022-03-31T15:29:22+00:00

Actual source code: test9.c
slepc-3.17.0 2022-03-31
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: static char help[] = "Tests multiple calls to SVDSolve with different matrix size.\n\n"
     12:   "The command line options are:\n"
     13:   "  -n <n>, where <n> = matrix dimension.\n\n";

     15: #include <slepcsvd.h>

     17: /*
     18:    This example computes the singular values of an nxn Grcar matrix,
     19:    which is a nonsymmetric Toeplitz matrix:

     21:               |  1  1  1  1               |
     22:               | -1  1  1  1  1            |
     23:               |    -1  1  1  1  1         |
     24:               |       .  .  .  .  .       |
     25:           A = |          .  .  .  .  .    |
     26:               |            -1  1  1  1  1 |
     27:               |               -1  1  1  1 |
     28:               |                  -1  1  1 |
     29:               |                     -1  1 |

     31:  */

     33: int main(int argc,char **argv)
     34: {
     35:   Mat            A,B;
     36:   SVD            svd;
     37:   PetscInt       N=30,Istart,Iend,i,col[5];
     38:   PetscScalar    value[] = { -1, 1, 1, 1, 1 };

     40:   SlepcInitialize(&argc,&argv,(char*)0,help);
     41:   PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL);
     42:   PetscPrintf(PETSC_COMM_WORLD,"\nSingular values of a Grcar matrix, n=%" PetscInt_FMT "\n\n",N);

     44:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     45:         Generate the matrix of size N
     46:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     48:   MatCreate(PETSC_COMM_WORLD,&A);
     49:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
     50:   MatSetFromOptions(A);
     51:   MatSetUp(A);
     52:   MatGetOwnershipRange(A,&Istart,&Iend);
     53:   for (i=Istart;i<Iend;i++) {
     54:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
     55:     if (i==0) MatSetValues(A,1,&i,4,col+1,value+1,INSERT_VALUES);
     56:     else MatSetValues(A,1,&i,PetscMin(5,N-i+1),col,value,INSERT_VALUES);
     57:   }
     58:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     59:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     61:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     62:          Create the singular value solver, set options and solve
     63:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     65:   SVDCreate(PETSC_COMM_WORLD,&svd);
     66:   SVDSetOperators(svd,A,NULL);
     67:   SVDSetTolerances(svd,1e-6,1000);
     68:   SVDSetFromOptions(svd);
     69:   SVDSolve(svd);
     70:   SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL);

     72:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     73:         Generate the matrix of size 2*N
     74:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     76:   N *= 2;
     77:   PetscPrintf(PETSC_COMM_WORLD,"\nSingular values of a Grcar matrix, n=%" PetscInt_FMT "\n\n",N);

     79:   MatCreate(PETSC_COMM_WORLD,&B);
     80:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
     81:   MatSetFromOptions(B);
     82:   MatSetUp(B);
     83:   MatGetOwnershipRange(B,&Istart,&Iend);
     84:   for (i=Istart;i<Iend;i++) {
     85:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
     86:     if (i==0) MatSetValues(B,1,&i,4,col+1,value+1,INSERT_VALUES);
     87:     else MatSetValues(B,1,&i,PetscMin(5,N-i+1),col,value,INSERT_VALUES);
     88:   }
     89:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     90:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

     92:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     93:        Solve again, calling SVDReset() since matrix size has changed
     94:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     96:   SVDReset(svd);  /* if this is omitted, it will be called in SVDSetOperators() */
     97:   SVDSetOperators(svd,B,NULL);
     98:   SVDSolve(svd);
     99:   SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL);

    101:   /* Free work space */
    102:   SVDDestroy(&svd);
    103:   MatDestroy(&A);
    104:   MatDestroy(&B);
    105:   SlepcFinalize();
    106:   return 0;
    107: }

    109: /*TEST

    111:    test:
    112:       suffix: 1
    113:       args: -svd_type {{lanczos trlanczos cross cyclic lapack randomized}} -svd_nsv 3
    114:       requires: double

    116: TEST*/