TESTING/EIG/dgsvts3.f(3)   Library Functions Manual   TESTING/EIG/dgsvts3.f(3)

NAME
       TESTING/EIG/dgsvts3.f

SYNOPSIS
   Functions/Subroutines
       subroutine dgsvts3 (m, p, n, a, af, lda, b, bf, ldb, u, ldu, v, ldv, q,
           ldq, alpha, beta, r, ldr, iwork, work, lwork, rwork, result)
           DGSVTS3

Function/Subroutine Documentation
   subroutine dgsvts3 (integer m, integer p, integer n, double precision,
       dimension( lda, * ) a, double precision, dimension( lda, * ) af,
       integer lda, double precision, dimension( ldb, * ) b, double precision,
       dimension( ldb, * ) bf, integer ldb, double precision, dimension( ldu,
       * ) u, integer ldu, double precision, dimension( ldv, * ) v, integer
       ldv, double precision, dimension( ldq, * ) q, integer ldq, double
       precision, dimension( * ) alpha, double precision, dimension( * ) beta,
       double precision, dimension( ldr, * ) r, integer ldr, integer,
       dimension( * ) iwork, double precision, dimension( lwork ) work,
       integer lwork, double precision, dimension( * ) rwork, double
       precision, dimension( 6 ) result)
       DGSVTS3

       Purpose:


            DGSVTS3 tests DGGSVD3, 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 DOUBLE PRECISION array, dimension (LDA,M)
                     The M-by-N matrix A.

           AF

                     AF is DOUBLE PRECISION array, dimension (LDA,N)
                     Details of the GSVD of A and B, as returned by DGGSVD3,
                     see DGGSVD3 for further details.

           LDA

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

           B

                     B is DOUBLE PRECISION array, dimension (LDB,P)
                     On entry, the P-by-N matrix B.

           BF

                     BF is DOUBLE PRECISION array, dimension (LDB,N)
                     Details of the GSVD of A and B, as returned by DGGSVD3,
                     see DGGSVD3 for further details.

           LDB

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

           U

                     U is DOUBLE PRECISION array, dimension(LDU,M)
                     The M by M orthogonal matrix U.

           LDU

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

           V

                     V is DOUBLE PRECISION array, dimension(LDV,M)
                     The P by P orthogonal matrix V.

           LDV

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

           Q

                     Q is DOUBLE PRECISION array, dimension(LDQ,N)
                     The N by N orthogonal 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 DGGSVD3 for details.

           R

                     R is DOUBLE PRECISION 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 DOUBLE PRECISION 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 207 of file dgsvts3.f.

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

LAPACK                          Version 3.12.0        TESTING/EIG/dgsvts3.f(3)