# zppt03.f - Man Page

TESTING/LIN/zppt03.f

## Synopsis

### Functions/Subroutines

subroutine zppt03 (uplo, n, a, ainv, work, ldwork, rwork, rcond, resid)
ZPPT03

## Function/Subroutine Documentation

### subroutine zppt03 (character uplo, integer n, complex*16, dimension( * ) a, complex*16, dimension( * ) ainv, complex*16, dimension( ldwork, * ) work, integer ldwork, double precision, dimension( * ) rwork, double precision rcond, double precision resid)

ZPPT03

Purpose:

``` ZPPT03 computes the residual for a Hermitian 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
Hermitian 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 Hermitian matrix A, stored as a packed
triangular matrix.```

AINV

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

WORK

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

LDWORK

```          LDWORK is INTEGER
The leading dimension of the array WORK.  LDWORK >= 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

Univ. of Colorado Denver

NAG Ltd.

Definition at line 108 of file zppt03.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zppt03(3) is an alias of zppt03.f(3).

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