---
name: "cla_herpvgrw"
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_herpvgrw.f"
---

# cla\_herpvgrw(3)

Part of [cla\_herpvgrw.f(3)](/cla_herpvgrw.f/3.md).

## NAME

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  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

Univ. of Colorado Denver

NAG Ltd.

Definition at line **121** of file **cla\_herpvgrw.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.