# zla_herpvgrw.f - Man Page

SRC/zla_herpvgrw.f

## Synopsis

### Functions/Subroutines

double precision function zla_herpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work)
ZLA_HERPVGRW

## Function/Subroutine Documentation

### double precision function zla_herpvgrw (character*1 uplo, integer n, integer info, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, dimension( * ) work)

ZLA_HERPVGRW

Purpose:

``` ZLA_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 ZHETRF, .i.e., the pivot in
column INFO is exactly 0.```

A

```          A is COMPLEX*16 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*16 array, dimension (LDAF,N)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by ZHETRF.```

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 ZHETRF.```

WORK

`          WORK is DOUBLE PRECISION array, dimension (2*N)`
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 121 of file zla_herpvgrw.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK