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

NAME
       TESTING/EIG/cgqrts.f

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

Function/Subroutine Documentation
   subroutine cgqrts (integer n, integer m, integer p, 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)
       CGQRTS

       Purpose:


           !>
           !> CGQRTS tests CGGQRF, 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 array, dimension (LDA,M)
           !>          The N-by-M matrix A.
           !>

           AF

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

           Q

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

           B

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

           BF

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

           Z

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

           RWORK

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

           RESULT

           !>          RESULT is REAL 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 cgqrts.f.

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

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