# cla_gerpvgrw.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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cla_gerpvgrw.f

## SYNOPSIS

### Functions/Subroutines

real function cla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF)
CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

## Function/Subroutine Documentation

### real function cla_gerpvgrw (integer N, integer NCOLS, complex, dimension( lda, * ) A, integer LDA, complex, dimension( ldaf, * ) AF, integer LDAF)

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Purpose:

``` CLA_GERPVGRW 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:

N

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

NCOLS

```          NCOLS is INTEGER
The number of columns of the matrix A. NCOLS >= 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 factors L and U from the factorization
A = P*L*U as computed by CGETRF.
```

LDAF

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

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

December 2016

Definition at line 100 of file cla_gerpvgrw.f.

## Author

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