# cspt03.f - Man Page

TESTING/LIN/cspt03.f

## Synopsis

### Functions/Subroutines

subroutine **cspt03** (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)**CSPT03**

## Function/Subroutine Documentation

### subroutine cspt03 (character uplo, integer n, complex, dimension( * ) a, complex, dimension( * ) ainv, complex, dimension( ldw, * ) work, integer ldw, real, dimension( * ) rwork, real rcond, real resid)

**CSPT03**

**Purpose:**

CSPT03 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 array, dimension (N*(N+1)/2) The original complex symmetric matrix A, stored as a packed triangular matrix.

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

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

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

*RWORK*RWORK is REAL array, dimension (N)

*RCOND*RCOND is REAL The reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).

*RESID*RESID is REAL 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 **cspt03.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page cspt03(3) is an alias of cspt03.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK