TESTING/LIN/csyt03.f(3) Library Functions Manual TESTING/LIN/csyt03.f(3)

TESTING/LIN/csyt03.f


subroutine csyt03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
CSYT03

CSYT03

Purpose:

!>
!> CSYT03 computes the residual for a complex symmetric 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 (LDA,N)
!>          The original complex symmetric matrix A.
!> 

LDA

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

AINV

!>          AINV is COMPLEX array, dimension (LDAINV,N)
!>          On entry, the inverse of the matrix A, stored as a symmetric
!>          matrix in the same format as A.
!>          In this version, AINV is expanded into a full matrix and
!>          multiplied by A, so the opposing triangle of AINV will be
!>          changed; i.e., if the upper triangular part of AINV is
!>          stored, the lower triangular part will be used as work space.
!> 

LDAINV

!>          LDAINV is INTEGER
!>          The leading dimension of the array AINV.  LDAINV >= max(1,N).
!> 

WORK

!>          WORK is COMPLEX array, dimension (LDWORK,N)
!> 

LDWORK

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

RWORK

!>          RWORK is REAL array, dimension (N)
!> 

RCOND

!>          RCOND is REAL
!>          The reciprocal of the condition number of A, computed as
!>          RCOND = 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 124 of file csyt03.f.

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Version 3.12.0 LAPACK