/* nag_zhecon (f07muc) Example Program. * * Copyright 2001 Numerical Algorithms Group. * * Mark 7, 2001. */ #include #include #include #include #include #include #include int main(void) { /* Scalars */ double anorm, rcond; Integer i, j, n, pda; Integer exit_status = 0; Nag_UploType uplo; NagError fail; Nag_OrderType order; /* Arrays */ Integer *ipiv = 0; char nag_enum_arg[40]; Complex *a = 0; #ifdef NAG_COLUMN_MAJOR #define A(I, J) a[(J-1)*pda + I - 1] order = Nag_ColMajor; #else #define A(I, J) a[(I-1)*pda + J - 1] order = Nag_RowMajor; #endif INIT_FAIL(fail); printf("nag_zhecon (f07muc) Example Program Results\n\n"); /* Skip heading in data file */ scanf("%*[^\n] "); scanf("%ld%*[^\n] ", &n); #ifdef NAG_COLUMN_MAJOR pda = n; #else pda = n; #endif /* Allocate memory */ if (!(ipiv = NAG_ALLOC(n, Integer)) || !(a = NAG_ALLOC(n * n, Complex))) { printf("Allocation failure\n"); exit_status = -1; goto END; } /* Read A from data file */ scanf(" %s%*[^\n] ", nag_enum_arg); /* nag_enum_name_to_value(x04nac). * Converts NAG enum member name to value */ uplo = (Nag_UploType) nag_enum_name_to_value(nag_enum_arg); if (uplo == Nag_Upper) { for (i = 1; i <= n; ++i) { for (j = i; j <= n; ++j) scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im); } scanf("%*[^\n] "); } else { for (i = 1; i <= n; ++i) { for (j = 1; j <= i; ++j) scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im); } scanf("%*[^\n] "); } /* Compute norm of A */ /* nag_zhe_norm (f16ucc). * 1-norm, infinity-norm, Frobenius norm, largest absolute * element, complex Hermitian matrix */ nag_zhe_norm(order, Nag_OneNorm, uplo, n, a, pda, &anorm, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zhe_norm (f16ucc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Factorize A */ /* nag_zhetrf (f07mrc). * Bunch-Kaufman factorization of complex Hermitian * indefinite matrix */ nag_zhetrf(order, uplo, n, a, pda, ipiv, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zhetrf (f07mrc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Estimate condition number */ /* nag_zhecon (f07muc). * Estimate condition number of complex Hermitian indefinite * matrix, matrix already factorized by nag_zhetrf (f07mrc) */ nag_zhecon(order, uplo, n, a, pda, ipiv, anorm, &rcond, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zhecon (f07muc).\n%s\n", fail.message); exit_status = 1; goto END; } /* nag_machine_precision (x02ajc). * The machine precision */ if (rcond >= nag_machine_precision) printf("Estimate of condition number =%11.2e\n", 1.0/rcond); else printf("A is singular to working precision\n"); END: if (ipiv) NAG_FREE(ipiv); if (a) NAG_FREE(a); return exit_status; }