Provided by: liblapack-doc_3.3.1-1_all #### NAME

```       LAPACK-3 - computes the reciprocal pivot growth factor norm(A)/norm(U)

```

#### SYNOPSIS

```       DOUBLE PRECISION FUNCTION ZLA_SYRPVGRW( UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK )

IMPLICIT     NONE

CHARACTER*1  UPLO

INTEGER      N, INFO, LDA, LDAF

COMPLEX*16   A( LDA, * ), AF( LDAF, * )

DOUBLE       PRECISION WORK( * )

INTEGER      IPIV( * )

```

#### PURPOSE

```       ZLA_SYRPVGRW  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.

```

#### ARGUMENTS

```        UPLO    (input) CHARACTER*1
= 'U':  Upper triangle of A is stored;
= 'L':  Lower triangle of A is stored.

N       (input) INTEGER
The number of linear equations, i.e., the order of the
matrix A.  N >= 0.

INFO    (input) INTEGER
The value of INFO returned from ZSYTRF, .i.e., the pivot in
column INFO is exactly 0.

NCOLS   (input) INTEGER
The number of columns of the matrix A. NCOLS >= 0.

A       (input) COMPLEX*16 array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA     (input) INTEGER
The leading dimension of the array A.  LDA >= max(1,N).

AF      (input) 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 ZSYTRF.

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

IPIV    (input) INTEGER array, dimension (N)
Details of the interchanges and the block structure of D
as determined by ZSYTRF.

WORK    (input) COMPLEX*16 array, dimension (2*N)

LAPACK routine (version 3.2.2)          April 2011                      ZLA_SYRPVGRW(3lapack)
```