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 Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 TESTING/LIN/zsyt03.f(3)