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

NAME
       TESTING/EIG/cgrqts.f

SYNOPSIS
   Functions/Subroutines
       subroutine cgrqts (m, p, n, a, af, q, r, lda, taua, b, bf, z, t, bwk,
           ldb, taub, work, lwork, rwork, result)
           CGRQTS

Function/Subroutine Documentation
   subroutine cgrqts (integer m, integer p, integer n, complex, dimension(
       lda, * ) a, complex, dimension( lda, * ) af, complex, dimension( lda, *
       ) q, complex, dimension( lda, * ) r, integer lda, complex, dimension( *
       ) taua, complex, dimension( ldb, * ) b, complex, dimension( ldb, * )
       bf, complex, dimension( ldb, * ) z, complex, dimension( ldb, * ) t,
       complex, dimension( ldb, * ) bwk, integer ldb, complex, dimension( * )
       taub, complex, dimension( lwork ) work, integer lwork, real, dimension(
       * ) rwork, real, dimension( 4 ) result)
       CGRQTS

       Purpose:


            CGRQTS tests CGGRQF, which computes the GRQ factorization of an
            M-by-N matrix A and a P-by-N matrix B: A = R*Q and B = Z*T*Q.

       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,N)
                     The M-by-N matrix A.

           AF

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

           Q

                     Q is COMPLEX array, dimension (LDA,N)
                     The N-by-N unitary matrix Q.

           R

                     R is COMPLEX array, dimension (LDA,MAX(M,N))

           LDA

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

           TAUA

                     TAUA is COMPLEX array, dimension (min(M,N))
                     The scalar factors of the elementary reflectors, as returned
                     by SGGQRC.

           B

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

           BF

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

           Z

                     Z is REAL array, dimension (LDB,P)
                     The P-by-P unitary matrix Z.

           T

                     T is COMPLEX array, dimension (LDB,max(P,N))

           BWK

                     BWK is COMPLEX array, dimension (LDB,N)

           LDB

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

           TAUB

                     TAUB is COMPLEX array, dimension (min(P,N))
                     The scalar factors of the elementary reflectors, as returned
                     by SGGRQF.

           WORK

                     WORK is COMPLEX array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The dimension of the array WORK, LWORK >= max(M,P,N)**2.

           RWORK

                     RWORK is REAL array, dimension (M)

           RESULT

                     RESULT is REAL array, dimension (4)
                     The test ratios:
                       RESULT(1) = norm( R - A*Q' ) / ( MAX(M,N)*norm(A)*ULP)
                       RESULT(2) = norm( T*Q - Z'*B ) / (MAX(P,N)*norm(B)*ULP)
                       RESULT(3) = norm( I - Q'*Q ) / ( N*ULP )
                       RESULT(4) = norm( I - Z'*Z ) / ( P*ULP )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 174 of file cgrqts.f.

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

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