TESTING/LIN/zsyt03.f(3) | Library Functions Manual | 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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