csyt03.f - Man Page

TESTING/LIN/csyt03.f

Synopsis

Functions/Subroutines

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

Function/Subroutine Documentation

subroutine csyt03 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldainv, * ) ainv, integer ldainv, complex, dimension( ldwork, * ) work, integer ldwork, real, dimension( * ) rwork, real rcond, real resid)

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.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page csyt03(3) is an alias of csyt03.f(3).

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