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

NAME
       TESTING/EIG/zgrqts.f

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

Function/Subroutine Documentation
   subroutine zgrqts (integer m, integer p, integer n, complex*16, dimension(
       lda, * ) a, complex*16, dimension( lda, * ) af, complex*16, dimension(
       lda, * ) q, complex*16, dimension( lda, * ) r, integer lda, complex*16,
       dimension( * ) taua, complex*16, dimension( ldb, * ) b, complex*16,
       dimension( ldb, * ) bf, complex*16, dimension( ldb, * ) z, complex*16,
       dimension( ldb, * ) t, complex*16, dimension( ldb, * ) bwk, integer
       ldb, complex*16, dimension( * ) taub, complex*16, dimension( lwork )
       work, integer lwork, double precision, dimension( * ) rwork, double
       precision, dimension( 4 ) result)
       ZGRQTS

       Purpose:


            ZGRQTS tests ZGGRQF, 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*16 array, dimension (LDA,N)
                     The M-by-N matrix A.

           AF

                     AF is COMPLEX*16 array, dimension (LDA,N)
                     Details of the GRQ factorization of A and B, as returned
                     by ZGGRQF, see CGGRQF for further details.

           Q

                     Q is COMPLEX*16 array, dimension (LDA,N)
                     The N-by-N unitary matrix Q.

           R

                     R is COMPLEX*16 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*16 array, dimension (min(M,N))
                     The scalar factors of the elementary reflectors, as returned
                     by DGGQRC.

           B

                     B is COMPLEX*16 array, dimension (LDB,N)
                     On entry, the P-by-N matrix A.

           BF

                     BF is COMPLEX*16 array, dimension (LDB,N)
                     Details of the GQR factorization of A and B, as returned
                     by ZGGRQF, see CGGRQF for further details.

           Z

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

           T

                     T is COMPLEX*16 array, dimension (LDB,max(P,N))

           BWK

                     BWK is COMPLEX*16 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*16 array, dimension (min(P,N))
                     The scalar factors of the elementary reflectors, as returned
                     by DGGRQF.

           WORK

                     WORK is COMPLEX*16 array, dimension (LWORK)

           LWORK

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

           RWORK

                     RWORK is DOUBLE PRECISION array, dimension (M)

           RESULT

                     RESULT is DOUBLE PRECISION 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 zgrqts.f.

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

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