.TH "SRC/sla_syrpvgrw.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/sla_syrpvgrw.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "real function \fBsla_syrpvgrw\fP (uplo, n, info, a, lda, af, ldaf, ipiv, work)" .br .RI "\fBSLA_SYRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "real function sla_syrpvgrw (character*1 uplo, integer n, integer info, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, real, dimension( * ) work)" .PP \fBSLA_SYRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> !> SLA_SYRPVGRW computes the reciprocal pivot growth factor !> norm(A)/norm(U)\&. The norm is used\&. If this is !> much less than 1, the stability of the LU factorization of the !> (equilibrated) matrix A could be poor\&. This also means that the !> solution X, estimated condition numbers, and error bounds could be !> unreliable\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf !> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The number of linear equations, i\&.e\&., the order of the !> matrix A\&. N >= 0\&. !> .fi .PP .br \fIINFO\fP .PP .nf !> INFO is INTEGER !> The value of INFO returned from SSYTRF, \&.i\&.e\&., the pivot in !> column INFO is exactly 0\&. !> .fi .PP .br \fIA\fP .PP .nf !> A is REAL array, dimension (LDA,N) !> On entry, the N-by-N matrix A\&. !> .fi .PP .br \fILDA\fP .PP .nf !> LDA is INTEGER !> The leading dimension of the array A\&. LDA >= max(1,N)\&. !> .fi .PP .br \fIAF\fP .PP .nf !> AF is REAL array, dimension (LDAF,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by SSYTRF\&. !> .fi .PP .br \fILDAF\fP .PP .nf !> LDAF is INTEGER !> The leading dimension of the array AF\&. LDAF >= max(1,N)\&. !> .fi .PP .br \fIIPIV\fP .PP .nf !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by SSYTRF\&. !> .fi .PP .br \fIWORK\fP .PP .nf !> WORK is REAL array, dimension (2*N) !> .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB120\fP of file \fBsla_syrpvgrw\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.