.TH "SRC/sla_porpvgrw.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/sla_porpvgrw.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "real function \fBsla_porpvgrw\fP (uplo, ncols, a, lda, af, ldaf, work)" .br .RI "\fBSLA_PORPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "real function sla_porpvgrw (character*1 uplo, integer ncols, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, real, dimension( * ) work)" .PP \fBSLA_PORPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> !> SLA_PORPVGRW 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 \fINCOLS\fP .PP .nf !> NCOLS is INTEGER !> The number of columns of the matrix A\&. NCOLS >= 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 triangular factor U or L from the Cholesky factorization !> A = U**T*U or A = L*L**T, as computed by SPOTRF\&. !> .fi .PP .br \fILDAF\fP .PP .nf !> LDAF is INTEGER !> The leading dimension of the array AF\&. LDAF >= max(1,N)\&. !> .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 \fB103\fP of file \fBsla_porpvgrw\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.