TESTING/EIG/zget54.f(3) Library Functions Manual TESTING/EIG/zget54.f(3)

TESTING/EIG/zget54.f


subroutine zget54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv, work, result)
ZGET54

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.

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