TESTING/LIN/zpot03.f(3)

NAME
TESTING/LIN/zpot03.f

SYNOPSIS

  Functions/Subroutines
subroutine zpot03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
ZPOT03

Function/Subroutine Documentation

  subroutine zpot03 (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)

ZPOT03

Purpose:

    !>
    !> ZPOT03 computes the residual for a Hermitian 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 (LDA,N)
    !>          The original Hermitian 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 Hermitian
    !>          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
    !>          ( 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 zpot03.f.

Author

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