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)