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TESTING/LIN/zsyt03.f(3) LAPACK TESTING/LIN/zsyt03.f(3)

TESTING/LIN/zsyt03.f


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

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.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:35 Version 3.12.1

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