/* nag_lapackeig_zgelsy (f08bnc) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.1, 2024.
*/
#include <nag.h>
#include <stdio.h>
int main(void) {
/* Scalars */
double rcond;
Integer exit_status = 0, i, j, m, n, nrhs, pda, pdb, rank;
/* Arrays */
Complex *a = 0, *b = 0;
Integer *jpvt = 0;
/* Nag Types */
Nag_OrderType order;
NagError fail;
#ifdef NAG_COLUMN_MAJOR
#define A(I, J) a[(J - 1) * pda + I - 1]
#define B(I, J) b[(J - 1) * pdb + I - 1]
order = Nag_ColMajor;
#else
#define A(I, J) a[(I - 1) * pda + J - 1]
#define B(I, J) b[(I - 1) * pdb + J - 1]
order = Nag_RowMajor;
#endif
INIT_FAIL(fail);
printf("nag_lapackeig_zgelsy (f08bnc) Example Program Results\n\n");
/* Skip heading in data file */
scanf("%*[^\n]");
scanf("%" NAG_IFMT "%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &m, &n, &nrhs);
/* Allocate memory */
if (!(a = NAG_ALLOC(m * n, Complex)) || !(b = NAG_ALLOC(m * nrhs, Complex)) ||
!(jpvt = NAG_ALLOC(n, Integer))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
#ifdef NAG_COLUMN_MAJOR
pda = m;
pdb = MAX(m,n);
#else
pda = n;
pdb = nrhs;
#endif
/* Read A and B from data file */
for (i = 1; i <= m; ++i)
for (j = 1; j <= n; ++j)
scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im);
scanf("%*[^\n]");
for (i = 1; i <= m; ++i)
for (j = 1; j <= nrhs; ++j)
scanf(" ( %lf , %lf )", &B(i, j).re, &B(i, j).im);
scanf("%*[^\n]");
/* nag_blast_iload (f16dbc).
* Initialize jpvt to be zero so that all columns are free.
*/
nag_blast_iload(n, 0, jpvt, 1, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_blast_iload (f16dbc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
/* Choose rcond to reflect the relative accuracy of the input data */
rcond = 0.01;
/* nag_lapackeig_zgelsy (f08bnc).
* Solve the least squares problem min( norm2(b - Ax) ) for the x
* of minimum norm.
*/
nag_lapackeig_zgelsy(order, m, n, nrhs, a, pda, b, pdb, jpvt, rcond, &rank,
&fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_lapackeig_zgelsy (f08bnc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
/* Print solution */
printf("Least squares solution\n");
for (i = 1; i <= n; ++i) {
for (j = 1; j <= nrhs; ++j)
printf("(%7.4f, %7.4f)%s", B(i, j).re, B(i, j).im,
j % 4 == 0 ? "\n" : " ");
printf("\n");
}
/* Print the effective rank of A */
printf("\nTolerance used to estimate the rank of A\n");
printf("%11.2e\n", rcond);
printf("Estimated rank of A\n");
printf("%6" NAG_IFMT "\n", rank);
END:
NAG_FREE(a);
NAG_FREE(b);
NAG_FREE(jpvt);
return exit_status;
}
#undef A
#undef B