---
name: "cla_gerpvgrw"
section: "3"
platform: "linux"
package: "lapack-doc"
version: "3.12.1-2"
release: "Arch Linux 2026-11-01"
platforms: ["linux"]
url: "https://new.carta.tech/cla_gerpvgrw.f"
---

# cla\_gerpvgrw(3)

Part of [cla\_gerpvgrw.f(3)](/cla_gerpvgrw.f/3.md).

## NAME

SRC/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  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.

Definition at line **97** of file **cla\_gerpvgrw.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.