TESTING/EIG/zget54.f(3) | Library Functions Manual | TESTING/EIG/zget54.f(3) |
NAME
TESTING/EIG/zget54.f
SYNOPSIS
Functions/Subroutines
subroutine zget54 (n, a, lda, b, ldb, s, lds, t, ldt, u,
ldu, v, ldv, work, result)
ZGET54
Function/Subroutine Documentation
subroutine zget54 (integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( lds, * ) s, integer lds, complex*16, dimension( ldt, * ) t, integer ldt, complex*16, dimension( ldu, * ) u, integer ldu, complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension( * ) work, double precision result)
ZGET54
Purpose:
!> !> ZGET54 checks a generalized decomposition of the form !> !> A = U*S*V' and B = U*T* V' !> !> where ' means conjugate transpose and U and V are unitary. !> !> Specifically, !> !> RESULT = ||( A - U*S*V', B - U*T*V' )|| / (||( A, B )||*n*ulp ) !>
Parameters
N
!> N is INTEGER !> The size of the matrix. If it is zero, DGET54 does nothing. !> It must be at least zero. !>
A
!> A is COMPLEX*16 array, dimension (LDA, N) !> The original (unfactored) matrix A. !>
LDA
!> LDA is INTEGER !> The leading dimension of A. It must be at least 1 !> and at least N. !>
B
!> B is COMPLEX*16 array, dimension (LDB, N) !> The original (unfactored) matrix B. !>
LDB
!> LDB is INTEGER !> The leading dimension of B. It must be at least 1 !> and at least N. !>
S
!> S is COMPLEX*16 array, dimension (LDS, N) !> The factored matrix S. !>
LDS
!> LDS is INTEGER !> The leading dimension of S. It must be at least 1 !> and at least N. !>
T
!> T is COMPLEX*16 array, dimension (LDT, N) !> The factored matrix T. !>
LDT
!> LDT is INTEGER !> The leading dimension of T. It must be at least 1 !> and at least N. !>
U
!> U is COMPLEX*16 array, dimension (LDU, N) !> The orthogonal matrix on the left-hand side in the !> decomposition. !>
LDU
!> LDU is INTEGER !> The leading dimension of U. LDU must be at least N and !> at least 1. !>
V
!> V is COMPLEX*16 array, dimension (LDV, N) !> The orthogonal matrix on the left-hand side in the !> decomposition. !>
LDV
!> LDV is INTEGER !> The leading dimension of V. LDV must be at least N and !> at least 1. !>
WORK
!> WORK is COMPLEX*16 array, dimension (3*N**2) !>
RESULT
!> RESULT is DOUBLE PRECISION !> The value RESULT, It is currently limited to 1/ulp, to !> avoid overflow. Errors are flagged by RESULT=10/ulp. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 154 of file zget54.f.
Author
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