TESTING/EIG/cgsvts3.f(3)   Library Functions Manual   TESTING/EIG/cgsvts3.f(3)

NAME
       TESTING/EIG/cgsvts3.f

SYNOPSIS
   Functions/Subroutines
       subroutine cgsvts3 (m, p, n, a, af, lda, b, bf, ldb, u, ldu, v, ldv, q,
           ldq, alpha, beta, r, ldr, iwork, work, lwork, rwork, result)
           CGSVTS3

Function/Subroutine Documentation
   subroutine cgsvts3 (integer m, integer p, integer n, complex, dimension(
       lda, * ) a, complex, dimension( lda, * ) af, integer lda, complex,
       dimension( ldb, * ) b, complex, dimension( ldb, * ) bf, integer ldb,
       complex, dimension( ldu, * ) u, integer ldu, complex, dimension( ldv, *
       ) v, integer ldv, complex, dimension( ldq, * ) q, integer ldq, real,
       dimension( * ) alpha, real, dimension( * ) beta, complex, dimension(
       ldr, * ) r, integer ldr, integer, dimension( * ) iwork, complex,
       dimension( lwork ) work, integer lwork, real, dimension( * ) rwork,
       real, dimension( 6 ) result)
       CGSVTS3

       Purpose:


            CGSVTS3 tests CGGSVD3, 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 array, dimension (LDA,M)
                     The M-by-N matrix A.

           AF

                     AF is COMPLEX array, dimension (LDA,N)
                     Details of the GSVD of A and B, as returned by CGGSVD3,
                     see CGGSVD3 for further details.

           LDA

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

           B

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

           BF

                     BF is COMPLEX array, dimension (LDB,N)
                     Details of the GSVD of A and B, as returned by CGGSVD3,
                     see CGGSVD3 for further details.

           LDB

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

           U

                     U is COMPLEX 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 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 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 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 CGGSVD3 for details.

           R

                     R is COMPLEX 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 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 206 of file cgsvts3.f.

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

LAPACK                          Version 3.12.0        TESTING/EIG/cgsvts3.f(3)