cla_gerpvgrw - compute the reciprocal pivot growth factor using the "max absolute element" norm
REAL FUNCTION CLA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER N, NCOLS, LDA, LDAF COMPLEX A(LDA,*), AF(LDAF,*) REAL FUNCTION CLA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER*8 N, NCOLS, LDA, LDAF COMPLEX A(LDA,*), AF(LDAF,*) F95 INTERFACE REAL FUNCTION LA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER :: N, NCOLS, LDA, LDAF COMPLEX, DIMENSION(:,:) :: A, AF REAL FUNCTION LA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER(8) :: N, NCOLS, LDA, LDAF COMPLEX, DIMENSION(:,:) :: A, AF C INTERFACE #include <sunperf.h> float cla_gerpvgrw (int n, int ncols, floatcomplex *a, int lda, float- complex *af, int ldaf); float cla_gerpvgrw_64 (long n, long ncols, floatcomplex *a, long lda, floatcomplex *af, long ldaf);
Oracle Solaris Studio Performance Library cla_gerpvgrw(3P) NAME cla_gerpvgrw - compute the reciprocal pivot growth factor using the "max absolute element" norm SYNOPSIS REAL FUNCTION CLA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER N, NCOLS, LDA, LDAF COMPLEX A(LDA,*), AF(LDAF,*) REAL FUNCTION CLA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER*8 N, NCOLS, LDA, LDAF COMPLEX A(LDA,*), AF(LDAF,*) F95 INTERFACE REAL FUNCTION LA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER :: N, NCOLS, LDA, LDAF COMPLEX, DIMENSION(:,:) :: A, AF REAL FUNCTION LA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER(8) :: N, NCOLS, LDA, LDAF COMPLEX, DIMENSION(:,:) :: A, AF C INTERFACE #include <sunperf.h> float cla_gerpvgrw (int n, int ncols, floatcomplex *a, int lda, float- complex *af, int ldaf); float cla_gerpvgrw_64 (long n, long ncols, floatcomplex *a, long lda, floatcomplex *af, long ldaf); PURPOSE cla_gerpvgrw computes the reciprocal pivot growth factor norm(A)/norm(U). The "max absolute element" norm is used. If this is much less than 1, the stability of the LU factorization of the (equili- brated) matrix A could be poor. This also means that the solution X, estimated condition numbers, and error bounds could be unreliable. ARGUMENTS N (input) N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. NCOLS (input) NCOLS is INTEGER The number of columns of the matrix A. NCOLS >= 0. A (input) A is COMPLEX array, dimension (LDA,N) On entry, the N-by-N matrix A. LDA (input) LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). AF (input) AF is COMPLEX array, dimension (LDAF,N) The factors L and U from the factorization A=P*L*U as com- puted by CGETRF. LDAF (input) LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). 7 Nov 2015 cla_gerpvgrw(3P)