TESTING/EIG/sgsvts3.f(3)   Library Functions Manual   TESTING/EIG/sgsvts3.f(3)

NAME
       TESTING/EIG/sgsvts3.f

SYNOPSIS
   Functions/Subroutines
       subroutine sgsvts3 (m, p, n, a, af, lda, b, bf, ldb, u, ldu, v, ldv, q,
           ldq, alpha, beta, r, ldr, iwork, work, lwork, rwork, result)
           SGSVTS3

Function/Subroutine Documentation
   subroutine sgsvts3 (integer m, integer p, integer n, real, dimension( lda,
       * ) a, real, dimension( lda, * ) af, integer lda, real, dimension( ldb,
       * ) b, real, dimension( ldb, * ) bf, integer ldb, real, dimension( ldu,
       * ) u, integer ldu, real, dimension( ldv, * ) v, integer ldv, real,
       dimension( ldq, * ) q, integer ldq, real, dimension( * ) alpha, real,
       dimension( * ) beta, real, dimension( ldr, * ) r, integer ldr, integer,
       dimension( * ) iwork, real, dimension( lwork ) work, integer lwork,
       real, dimension( * ) rwork, real, dimension( 6 ) result)
       SGSVTS3

       Purpose:


            SGSVTS3 tests SGGSVD3, 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 REAL array, dimension (LDA,M)
                     The M-by-N matrix A.

           AF

                     AF is REAL array, dimension (LDA,N)
                     Details of the GSVD of A and B, as returned by SGGSVD3,
                     see SGGSVD3 for further details.

           LDA

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

           B

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

           BF

                     BF is REAL array, dimension (LDB,N)
                     Details of the GSVD of A and B, as returned by SGGSVD3,
                     see SGGSVD3 for further details.

           LDB

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

           U

                     U is REAL 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 REAL 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 REAL 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 REAL array, dimension (N)

           BETA

                     BETA is REAL 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 SGGSVD3 for details.

           R

                     R is REAL 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 REAL 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 REAL array, dimension (max(M,P,N))

           RESULT

                     RESULT is REAL 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 sgsvts3.f.

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

LAPACK                          Version 3.12.0        TESTING/EIG/sgsvts3.f(3)