.TH "SRC/cla_syrpvgrw.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/cla_syrpvgrw.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "real function \fBcla_syrpvgrw\fP (uplo, n, info, a, lda, af, ldaf, ipiv, work)" .br .RI "\fBCLA_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 cla_syrpvgrw (character*1 uplo, integer n, integer info, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, real, dimension( * ) work)" .PP \fBCLA_SYRPVGRW\fP computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf CLA_SYRPVGRW 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 (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 CSYTRF, \&.i\&.e\&., the pivot in column INFO is exactly 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX 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 COMPLEX array, dimension (LDAF,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF\&. .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 CSYTRF\&. .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 \fB121\fP of file \fBcla_syrpvgrw\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.