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

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