/* nag_sparse_real_gen_precon_ssor_solve (f11ddc) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.2, 2024.
*/
#include <nag.h>
int main(void) {
/* Scalars */
Integer exit_status = 0;
double anorm, omega, sigmax, stplhs, stprhs, tol;
Integer i, irevcm, iterm, itn, la, liwork, lwneed, lwork, m, maxitn, monit, n,
nnz;
/* Arrays */
char nag_enum_arg[100];
double *a = 0, *b = 0, *rdiag = 0, *wgt = 0, *work = 0, *x = 0;
Integer *icol = 0, *irow = 0, *iwork = 0;
/* NAG types */
Nag_SparseNsym_CheckData ckdd, ckxa;
Nag_NormType norm;
Nag_SparseNsym_PrecType precon;
Nag_TransType trans;
Nag_SparseNsym_Weight weight;
Nag_SparseNsym_Method method;
NagError fail, fail1;
INIT_FAIL(fail);
INIT_FAIL(fail1);
printf(
"nag_sparse_real_gen_precon_ssor_solve (f11ddc) Example Program Results");
printf("\n\n");
/* Skip heading in data file */
scanf("%*[^\n]");
/* Read algorithmic parameters */
scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &n, &m);
scanf("%" NAG_IFMT "%*[^\n]", &nnz);
la = 3 * nnz;
lwork = MAX(n * (m + 3) + m * (m + 5) + 101, 7 * n + 100);
liwork = 2 * n + 1;
if (!(a = NAG_ALLOC((la), double)) || !(b = NAG_ALLOC((n), double)) ||
!(rdiag = NAG_ALLOC((n), double)) || !(wgt = NAG_ALLOC((n), double)) ||
!(work = NAG_ALLOC((lwork), double)) || !(x = NAG_ALLOC((n), double)) ||
!(icol = NAG_ALLOC((la), Integer)) ||
!(irow = NAG_ALLOC((la), Integer)) ||
!(iwork = NAG_ALLOC((liwork), Integer))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Read or initialize the parameters for the iterative solver */
scanf("%99s%*[^\n] ", nag_enum_arg);
/* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
method = (Nag_SparseNsym_Method)nag_enum_name_to_value(nag_enum_arg);
scanf("%99s%*[^\n]", nag_enum_arg);
precon = (Nag_SparseNsym_PrecType)nag_enum_name_to_value(nag_enum_arg);
scanf("%99s%*[^\n]", nag_enum_arg);
norm = (Nag_NormType)nag_enum_name_to_value(nag_enum_arg);
scanf("%" NAG_IFMT "%*[^\n]", &iterm);
scanf("%lf%" NAG_IFMT "%*[^\n]", &tol, &maxitn);
scanf("%lf%lf%*[^\n]", &anorm, &sigmax);
scanf("%lf%*[^\n]", &omega);
/* Read the nonzero elements of the matrix a */
for (i = 0; i < nnz; i++)
scanf("%lf%" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &a[i], &irow[i], &icol[i]);
/* Read right-hand side vector b and initial approximate solution x */
for (i = 0; i < n; i++)
scanf("%lf", &b[i]);
scanf("%*[^\n]");
for (i = 0; i < n; i++)
scanf("%lf", &x[i]);
weight = Nag_SparseNsym_UnWeighted;
monit = 0;
/* Call to initialize the solver
* nag_sparse_real_gen_basic_setup (f11bdc)
* Real sparse nonsymmetric linear systems, setup routine
*/
nag_sparse_real_gen_basic_setup(method, precon, norm, weight, iterm, n, m,
tol, maxitn, anorm, sigmax, monit, &lwneed,
work, lwork, &fail);
/* Calculate reciprocal diagonal matrix elements if necessary */
if (precon == Nag_SparseNsym_Prec) {
for (i = 0; i < n; i++)
iwork[i] = 0;
for (i = 0; i < nnz; i++) {
if (irow[i] == icol[i]) {
iwork[irow[i] - 1]++;
if (a[i] == 0.0) {
printf("Matrix has a zero diagonal element \n");
goto END;
}
rdiag[(irow[i] - 1)] = 1.0 / a[i];
}
}
for (i = 0; i < n; i++) {
if (iwork[i] == 0) {
printf("Matrix has a missing diagonal element \n");
goto END;
}
if (iwork[i] >= 2) {
printf("Matrix has a multiple diagonal element \n");
goto END;
}
}
}
/* call solver repeatedly to solve the equations */
irevcm = 0;
ckxa = Nag_SparseNsym_Check;
ckdd = Nag_SparseNsym_Check;
while (irevcm != 4) {
/* nag_sparse_real_gen_basic_solver (f11bec)
* Real sparse nonsymmetric linear systems, solver routine
* preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
*/
nag_sparse_real_gen_basic_solver(&irevcm, x, b, wgt, work, lwork, &fail);
switch (irevcm) {
case 1:
/* Compute matrix-vector product using
* nag_sparse_real_gen_matvec (f11xac)
* Real sparse nonsymmetric matrix vector multiply
*/
trans = Nag_NoTrans;
nag_sparse_real_gen_matvec(trans, n, nnz, a, irow, icol, ckxa, x, b,
&fail1);
ckxa = Nag_SparseNsym_NoCheck;
break;
case -1:
/* Compute transposed matrix-vector product */
trans = Nag_Trans;
nag_sparse_real_gen_matvec(trans, n, nnz, a, irow, icol, ckxa, x, b,
&fail1);
ckxa = Nag_SparseNsym_NoCheck;
break;
case 2:
/* SSOR preconditioning using
* nag_sparse_real_gen_precon_ssor_solve (f11ddc)
* Solution of linear system involving preconditioning matrix generated
* by applying SSOR to real sparse nonsymmetric matrix
*/
trans = Nag_NoTrans;
nag_sparse_real_gen_precon_ssor_solve(trans, n, nnz, a, irow, icol, rdiag,
omega, ckdd, x, b, &fail1);
ckdd = Nag_SparseNsym_NoCheck;
break;
}
if (fail1.code != NE_NOERROR)
irevcm = 6;
}
if (fail.code != NE_NOERROR) {
printf("Error from nag_sparse_real_gen_basic_solver (f11bec)\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
/* nag_sparse_real_gen_basic_diag (f11bfc)
* Real sparse nonsymmetric linear systems, diagnostic
*/
nag_sparse_real_gen_basic_diag(&itn, &stplhs, &stprhs, &anorm, &sigmax, work,
lwork, &fail);
printf(" Converged in %11" NAG_IFMT " iterations\n", itn);
printf(" Matrix norm = %9.3e\n", anorm);
printf(" Final residual norm = %9.3e\n\n", stplhs);
/* Output x */
printf(" Solution of linear system\n");
for (i = 0; i < n; i++)
printf("%16.4e\n", x[i]);
END:
NAG_FREE(a);
NAG_FREE(b);
NAG_FREE(rdiag);
NAG_FREE(wgt);
NAG_FREE(work);
NAG_FREE(x);
NAG_FREE(icol);
NAG_FREE(irow);
NAG_FREE(iwork);
return exit_status;
}