# cla_herpvgrw.f - Man Page

SRC/cla_herpvgrw.f

## Synopsis

### Functions/Subroutines

real function cla_herpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work)
CLA_HERPVGRW

## Function/Subroutine Documentation

### real function cla_herpvgrw (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)

CLA_HERPVGRW

Purpose:

CLA_HERPVGRW 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.
Parameters

UPLO

UPLO is CHARACTER*1
= 'U':  Upper triangle of A is stored;
= 'L':  Lower triangle of A is stored.

N

N is INTEGER
The number of linear equations, i.e., the order of the
matrix A.  N >= 0.

INFO

INFO is INTEGER
The value of INFO returned from SSYTRF, .i.e., the pivot in
column INFO is exactly 0.

A

A is COMPLEX array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA

LDA is INTEGER
The leading dimension of the array A.  LDA >= max(1,N).

AF

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 CHETRF.

LDAF

LDAF is INTEGER
The leading dimension of the array AF.  LDAF >= max(1,N).

IPIV

IPIV is INTEGER array, dimension (N)
Details of the interchanges and the block structure of D
as determined by CHETRF.

WORK

WORK is REAL array, dimension (2*N)
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 121 of file cla_herpvgrw.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page cla_herpvgrw(3) is an alias of cla_herpvgrw.f(3).

Tue Nov 28 2023 12:08:41 Version 3.12.0 LAPACK