table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chst01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chst01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/chst01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CHST01 (n, ilo, ihi, a, lda, h, ldh, q, ldq,
work, lwork, rwork, result)
CHST01
Function/Subroutine Documentation¶
subroutine CHST01 (integer n, integer ilo, integer ihi, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldh, * ) h, integer ldh, complex, dimension( ldq, * ) q, integer ldq, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( 2 ) result)¶
CHST01
Purpose:
!> !> CHST01 tests the reduction of a general matrix A to upper Hessenberg !> form: A = Q*H*Q'. Two test ratios are computed; !> !> RESULT(1) = norm( A - Q*H*Q' ) / ( norm(A) * N * EPS ) !> RESULT(2) = norm( I - Q'*Q ) / ( N * EPS ) !> !> The matrix Q is assumed to be given explicitly as it would be !> following CGEHRD + CUNGHR. !> !> In this version, ILO and IHI are not used, but they could be used !> to save some work if this is desired. !>
Parameters
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
ILO
!> ILO is INTEGER !>
IHI
!> IHI is INTEGER !> !> A is assumed to be upper triangular in rows and columns !> 1:ILO-1 and IHI+1:N, so Q differs from the identity only in !> rows and columns ILO+1:IHI. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> The original n by n matrix A. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
H
!> H is COMPLEX array, dimension (LDH,N) !> The upper Hessenberg matrix H from the reduction A = Q*H*Q' !> as computed by CGEHRD. H is assumed to be zero below the !> first subdiagonal. !>
LDH
!> LDH is INTEGER !> The leading dimension of the array H. LDH >= max(1,N). !>
Q
!> Q is COMPLEX array, dimension (LDQ,N) !> The orthogonal matrix Q from the reduction A = Q*H*Q' as !> computed by CGEHRD + CUNGHR. !>
LDQ
!> LDQ is INTEGER !> The leading dimension of the array Q. LDQ >= max(1,N). !>
WORK
!> WORK is COMPLEX array, dimension (LWORK) !>
LWORK
!> LWORK is INTEGER !> The length of the array WORK. LWORK >= 2*N*N. !>
RWORK
!> RWORK is REAL array, dimension (N) !>
RESULT
!> RESULT is REAL array, dimension (2) !> RESULT(1) = norm( A - Q*H*Q' ) / ( norm(A) * N * EPS ) !> RESULT(2) = norm( I - Q'*Q ) / ( N * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 138 of file chst01.f.
Author¶
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