zpot03.f3
Usage
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.