TESTING/EIG/zgsvts3.f(3)   Library Functions Manual   TESTING/EIG/zgsvts3.f(3)

NAME
       TESTING/EIG/zgsvts3.f

SYNOPSIS
   Functions/Subroutines
       subroutine zgsvts3 (m, p, n, a, af, lda, b, bf, ldb, u, ldu, v, ldv, q,
           ldq, alpha, beta, r, ldr, iwork, work, lwork, rwork, result)
           ZGSVTS3

Function/Subroutine Documentation
   subroutine zgsvts3 (integer m, integer p, integer n, complex*16, dimension(
       lda, * ) a, complex*16, dimension( lda, * ) af, integer lda,
       complex*16, dimension( ldb, * ) b, complex*16, dimension( ldb, * ) bf,
       integer ldb, complex*16, dimension( ldu, * ) u, integer ldu,
       complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension(
       ldq, * ) q, integer ldq, double precision, dimension( * ) alpha, double
       precision, dimension( * ) beta, complex*16, dimension( ldr, * ) r,
       integer ldr, integer, dimension( * ) iwork, complex*16, dimension(
       lwork ) work, integer lwork, double precision, dimension( * ) rwork,
       double precision, dimension( 6 ) result)
       ZGSVTS3

       Purpose:


           !>
           !> ZGSVTS3 tests ZGGSVD3, which computes the GSVD of an M-by-N matrix A
           !> and a P-by-N matrix B:
           !>              U'*A*Q = D1*R and V'*B*Q = D2*R.
           !>

       Parameters
           M

           !>          M is INTEGER
           !>          The number of rows of the matrix A.  M >= 0.
           !>

           P

           !>          P is INTEGER
           !>          The number of rows of the matrix B.  P >= 0.
           !>

           N

           !>          N is INTEGER
           !>          The number of columns of the matrices A and B.  N >= 0.
           !>

           A

           !>          A is COMPLEX*16 array, dimension (LDA,M)
           !>          The M-by-N matrix A.
           !>

           AF

           !>          AF is COMPLEX*16 array, dimension (LDA,N)
           !>          Details of the GSVD of A and B, as returned by ZGGSVD3,
           !>          see ZGGSVD3 for further details.
           !>

           LDA

           !>          LDA is INTEGER
           !>          The leading dimension of the arrays A and AF.
           !>          LDA >= max( 1,M ).
           !>

           B

           !>          B is COMPLEX*16 array, dimension (LDB,P)
           !>          On entry, the P-by-N matrix B.
           !>

           BF

           !>          BF is COMPLEX*16 array, dimension (LDB,N)
           !>          Details of the GSVD of A and B, as returned by ZGGSVD3,
           !>          see ZGGSVD3 for further details.
           !>

           LDB

           !>          LDB is INTEGER
           !>          The leading dimension of the arrays B and BF.
           !>          LDB >= max(1,P).
           !>

           U

           !>          U is COMPLEX*16 array, dimension(LDU,M)
           !>          The M by M unitary matrix U.
           !>

           LDU

           !>          LDU is INTEGER
           !>          The leading dimension of the array U. LDU >= max(1,M).
           !>

           V

           !>          V is COMPLEX*16 array, dimension(LDV,M)
           !>          The P by P unitary matrix V.
           !>

           LDV

           !>          LDV is INTEGER
           !>          The leading dimension of the array V. LDV >= max(1,P).
           !>

           Q

           !>          Q is COMPLEX*16 array, dimension(LDQ,N)
           !>          The N by N unitary matrix Q.
           !>

           LDQ

           !>          LDQ is INTEGER
           !>          The leading dimension of the array Q. LDQ >= max(1,N).
           !>

           ALPHA

           !>          ALPHA is DOUBLE PRECISION array, dimension (N)
           !>

           BETA

           !>          BETA is DOUBLE PRECISION array, dimension (N)
           !>
           !>          The generalized singular value pairs of A and B, the
           !>          ``diagonal'' matrices D1 and D2 are constructed from
           !>          ALPHA and BETA, see subroutine ZGGSVD3 for details.
           !>

           R

           !>          R is COMPLEX*16 array, dimension(LDQ,N)
           !>          The upper triangular matrix R.
           !>

           LDR

           !>          LDR is INTEGER
           !>          The leading dimension of the array R. LDR >= max(1,N).
           !>

           IWORK

           !>          IWORK is INTEGER array, dimension (N)
           !>

           WORK

           !>          WORK is COMPLEX*16 array, dimension (LWORK)
           !>

           LWORK

           !>          LWORK is INTEGER
           !>          The dimension of the array WORK,
           !>          LWORK >= max(M,P,N)*max(M,P,N).
           !>

           RWORK

           !>          RWORK is DOUBLE PRECISION array, dimension (max(M,P,N))
           !>

           RESULT

           !>          RESULT is DOUBLE PRECISION array, dimension (6)
           !>          The test ratios:
           !>          RESULT(1) = norm( U'*A*Q - D1*R ) / ( MAX(M,N)*norm(A)*ULP)
           !>          RESULT(2) = norm( V'*B*Q - D2*R ) / ( MAX(P,N)*norm(B)*ULP)
           !>          RESULT(3) = norm( I - U'*U ) / ( M*ULP )
           !>          RESULT(4) = norm( I - V'*V ) / ( P*ULP )
           !>          RESULT(5) = norm( I - Q'*Q ) / ( N*ULP )
           !>          RESULT(6) = 0        if ALPHA is in decreasing order;
           !>                    = ULPINV   otherwise.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 206 of file zgsvts3.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0        TESTING/EIG/zgsvts3.f(3)