TESTING/LIN/zsyt03.f(3)

NAME
TESTING/LIN/zsyt03.f

SYNOPSIS

  Functions/Subroutines
subroutine zsyt03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
ZSYT03

Function/Subroutine Documentation

  subroutine zsyt03 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldainv, * ) ainv, integer ldainv, complex*16, dimension( ldwork, * ) work, integer ldwork, double precision, dimension( * ) rwork, double precision rcond, double precision resid)

ZSYT03

Purpose:

     ZSYT03 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*16 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*16 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*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
              RCOND = 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 124 of file zsyt03.f.

Author

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