sla_gerpvgrw - compute the reciprocal pivot growth factor using the "max absolute element" norm
REAL FUNCTION SLA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER N, NCOLS, LDA, LDAF REAL A(LDA,*), AF(LDAF,*) REAL FUNCTION SLA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER*8 N, NCOLS, LDA, LDAF REAL A(LDA,*), AF(LDAF,*) F95 INTERFACE REAL FUNCTION LA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) REAL, DIMENSION(:,:) :: A, AF INTEGER :: N, NCOLS, LDA, LDAF REAL FUNCTION LA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) REAL, DIMENSION(:,:) :: A, AF INTEGER(8) :: N, NCOLS, LDA, LDAF C INTERFACE #include <sunperf.h> float sla_gerpvgrw (int n, int ncols, float *a, int lda, float *af, int ldaf); float sla_gerpvgrw_64 (long n, long ncols, float *a, long lda, float *af, long ldaf);
Oracle Solaris Studio Performance Library sla_gerpvgrw(3P) NAME sla_gerpvgrw - compute the reciprocal pivot growth factor using the "max absolute element" norm SYNOPSIS REAL FUNCTION SLA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) INTEGER N, NCOLS, LDA, LDAF REAL A(LDA,*), AF(LDAF,*) REAL FUNCTION SLA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) INTEGER*8 N, NCOLS, LDA, LDAF REAL A(LDA,*), AF(LDAF,*) F95 INTERFACE REAL FUNCTION LA_GERPVGRW(N, NCOLS, A, LDA, AF, LDAF) REAL, DIMENSION(:,:) :: A, AF INTEGER :: N, NCOLS, LDA, LDAF REAL FUNCTION LA_GERPVGRW_64(N, NCOLS, A, LDA, AF, LDAF) REAL, DIMENSION(:,:) :: A, AF INTEGER(8) :: N, NCOLS, LDA, LDAF C INTERFACE #include <sunperf.h> float sla_gerpvgrw (int n, int ncols, float *a, int lda, float *af, int ldaf); float sla_gerpvgrw_64 (long n, long ncols, float *a, long lda, float *af, long ldaf); PURPOSE sla_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 REAL 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 REAL array, dimension (LDAF,N) The factors L and U from the factorization A=P*L*U as com- puted by SGETRF. LDAF (input) LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). 7 Nov 2015 sla_gerpvgrw(3P)