TESTING/EIG/zget22.f(3) | Library Functions Manual | TESTING/EIG/zget22.f(3) |
NAME
TESTING/EIG/zget22.f
SYNOPSIS
Functions/Subroutines
subroutine zget22 (transa, transe, transw, n, a, lda, e,
lde, w, work, rwork, result)
ZGET22
Function/Subroutine Documentation
subroutine zget22 (character transa, character transe, character transw, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( lde, * ) e, integer lde, complex*16, dimension( * ) w, complex*16, dimension( * ) work, double precision, dimension( * ) rwork, double precision, dimension( 2 ) result)
ZGET22
Purpose:
!> !> ZGET22 does an eigenvector check. !> !> The basic test is: !> !> RESULT(1) = | A E - E W | / ( |A| |E| ulp ) !> !> using the 1-norm. It also tests the normalization of E: !> !> RESULT(2) = max | m-norm(E(j)) - 1 | / ( n ulp ) !> j !> !> where E(j) is the j-th eigenvector, and m-norm is the max-norm of a !> vector. The max-norm of a complex n-vector x in this case is the !> maximum of |re(x(i)| + |im(x(i)| over i = 1, ..., n. !>
Parameters
TRANSA
!> TRANSA is CHARACTER*1 !> Specifies whether or not A is transposed. !> = 'N': No transpose !> = 'T': Transpose !> = 'C': Conjugate transpose !>
TRANSE
!> TRANSE is CHARACTER*1 !> Specifies whether or not E is transposed. !> = 'N': No transpose, eigenvectors are in columns of E !> = 'T': Transpose, eigenvectors are in rows of E !> = 'C': Conjugate transpose, eigenvectors are in rows of E !>
TRANSW
!> TRANSW is CHARACTER*1 !> Specifies whether or not W is transposed. !> = 'N': No transpose !> = 'T': Transpose, same as TRANSW = 'N' !> = 'C': Conjugate transpose, use -WI(j) instead of WI(j) !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
A
!> A is COMPLEX*16 array, dimension (LDA,N) !> The matrix whose eigenvectors are in E. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
E
!> E is COMPLEX*16 array, dimension (LDE,N) !> The matrix of eigenvectors. If TRANSE = 'N', the eigenvectors !> are stored in the columns of E, if TRANSE = 'T' or 'C', the !> eigenvectors are stored in the rows of E. !>
LDE
!> LDE is INTEGER !> The leading dimension of the array E. LDE >= max(1,N). !>
W
!> W is COMPLEX*16 array, dimension (N) !> The eigenvalues of A. !>
WORK
!> WORK is COMPLEX*16 array, dimension (N*N) !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESULT
!> RESULT is DOUBLE PRECISION array, dimension (2) !> RESULT(1) = | A E - E W | / ( |A| |E| ulp ) !> RESULT(2) = max | m-norm(E(j)) - 1 | / ( n ulp ) !> j !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 142 of file zget22.f.
Author
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