zpot03.f - Man Page
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
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page zpot03(3) is an alias of zpot03.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK