Actual source code: test9.c
slepc-3.19.0 2023-03-31
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: PetscFunctionBeginUser;
41: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
42: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL));
43: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSingular values of a Grcar matrix, n=%" PetscInt_FMT "\n\n",N));
45: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
46: Generate the matrix of size N
47: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
49: PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
50: PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
51: PetscCall(MatSetFromOptions(A));
52: PetscCall(MatSetUp(A));
53: PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
54: for (i=Istart;i<Iend;i++) {
55: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
56: if (i==0) PetscCall(MatSetValues(A,1,&i,4,col+1,value+1,INSERT_VALUES));
57: else PetscCall(MatSetValues(A,1,&i,PetscMin(5,N-i+1),col,value,INSERT_VALUES));
58: }
59: PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
60: PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
62: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
63: Create the singular value solver, set options and solve
64: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
66: PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
67: PetscCall(SVDSetOperators(svd,A,NULL));
68: PetscCall(SVDSetTolerances(svd,1e-6,1000));
69: PetscCall(SVDSetFromOptions(svd));
70: PetscCall(SVDSolve(svd));
71: PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL));
73: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
74: Generate the matrix of size 2*N
75: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
77: N *= 2;
78: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSingular values of a Grcar matrix, n=%" PetscInt_FMT "\n\n",N));
80: PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
81: PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
82: PetscCall(MatSetFromOptions(B));
83: PetscCall(MatSetUp(B));
84: PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
85: for (i=Istart;i<Iend;i++) {
86: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
87: if (i==0) PetscCall(MatSetValues(B,1,&i,4,col+1,value+1,INSERT_VALUES));
88: else PetscCall(MatSetValues(B,1,&i,PetscMin(5,N-i+1),col,value,INSERT_VALUES));
89: }
90: PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
91: PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
93: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
94: Solve again, calling SVDReset() since matrix size has changed
95: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
97: PetscCall(SVDReset(svd)); /* if this is omitted, it will be called in SVDSetOperators() */
98: PetscCall(SVDSetOperators(svd,B,NULL));
99: PetscCall(SVDSolve(svd));
100: PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL));
102: /* Free work space */
103: PetscCall(SVDDestroy(&svd));
104: PetscCall(MatDestroy(&A));
105: PetscCall(MatDestroy(&B));
106: PetscCall(SlepcFinalize());
107: return 0;
108: }
110: /*TEST
112: test:
113: suffix: 1
114: args: -svd_type {{lanczos trlanczos cross cyclic lapack randomized}} -svd_nsv 3
115: requires: double
117: TEST*/