# zspt03.f - Man Page

TESTING/LIN/zspt03.f

## Synopsis

### Functions/Subroutines

subroutine zspt03 (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)
ZSPT03

## Function/Subroutine Documentation

### subroutine zspt03 (character uplo, integer n, complex*16, dimension( * ) a, complex*16, dimension( * ) ainv, complex*16, dimension( ldw, * ) work, integer ldw, double precision, dimension( * ) rwork, double precision rcond, double precision resid)

ZSPT03

Purpose:

``` ZSPT03 computes the residual for a complex symmetric packed matrix
times its inverse:
norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
where EPS is the machine epsilon.```
Parameters

UPLO

```          UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
complex symmetric matrix A is stored:
= 'U':  Upper triangular
= 'L':  Lower triangular```

N

```          N is INTEGER
The number of rows and columns of the matrix A.  N >= 0.```

A

```          A is COMPLEX*16 array, dimension (N*(N+1)/2)
The original complex symmetric matrix A, stored as a packed
triangular matrix.```

AINV

```          AINV is COMPLEX*16 array, dimension (N*(N+1)/2)
The (symmetric) inverse of the matrix A, stored as a packed
triangular matrix.```

WORK

`          WORK is COMPLEX*16 array, dimension (LDW,N)`

LDW

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

RWORK

`          RWORK is DOUBLE PRECISION array, dimension (N)`

RCOND

```          RCOND is DOUBLE PRECISION
The reciprocal of the condition number of A, computed as
( 1/norm(A) ) / norm(AINV).```

RESID

```          RESID is DOUBLE PRECISION
norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )```
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 108 of file zspt03.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zspt03(3) is an alias of zspt03.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK