# cla_gerpvgrw.f man page

cla_gerpvgrw.f —

## Synopsis

### Functions/Subroutines

REAL functioncla_gerpvgrw(N, NCOLS, A, LDA, AF, LDAF)CLA_GERPVGRWmultiplies a square real matrix by a complex matrix.

## Function/Subroutine Documentation

### REAL function cla_gerpvgrw (integerN, integerNCOLS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF)

**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:**

September 2012

Definition at line 99 of file cla_gerpvgrw.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

cla_gerpvgrw(3) is an alias of cla_gerpvgrw.f(3).