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

NAME
       TESTING/EIG/zgqrts.f

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

Function/Subroutine Documentation
   subroutine zgqrts (integer n, integer m, integer p, 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)
       ZGQRTS

       Purpose:


           !>
           !> ZGQRTS tests ZGGQRF, which computes the GQR factorization of an
           !> N-by-M matrix A and a N-by-P matrix B: A = Q*R and B = Q*T*Z.
           !>

       Parameters
           N

           !>          N is INTEGER
           !>          The number of rows of the matrices A and B.  N >= 0.
           !>

           M

           !>          M is INTEGER
           !>          The number of columns of the matrix A.  M >= 0.
           !>

           P

           !>          P is INTEGER
           !>          The number of columns of the matrix B.  P >= 0.
           !>

           A

           !>          A is COMPLEX*16 array, dimension (LDA,M)
           !>          The N-by-M matrix A.
           !>

           AF

           !>          AF is COMPLEX*16 array, dimension (LDA,N)
           !>          Details of the GQR factorization of A and B, as returned
           !>          by ZGGQRF, see CGGQRF for further details.
           !>

           Q

           !>          Q is COMPLEX*16 array, dimension (LDA,N)
           !>          The M-by-M 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 ZGGQRF.
           !>

           B

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

           BF

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

           Z

           !>          Z is COMPLEX*16 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(N,M,P)**2.
           !>

           RWORK

           !>          RWORK is DOUBLE PRECISION array, dimension (max(N,M,P))
           !>

           RESULT

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

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

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