TESTING/LIN/zqrt03.f(3)

NAME
TESTING/LIN/zqrt03.f

SYNOPSIS

  Functions/Subroutines
subroutine zqrt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
ZQRT03

Function/Subroutine Documentation

  subroutine zqrt03 (integer m, integer n, integer k, complex*16, dimension( lda, * ) af, complex*16, dimension( lda, * ) c, complex*16, dimension( lda, * ) cc, complex*16, dimension( lda, * ) q, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

ZQRT03

Purpose:

     ZQRT03 tests ZUNMQR, which computes Q*C, Q'*C, C*Q or C*Q'.
     ZQRT03 compares the results of a call to ZUNMQR with the results of
     forming Q explicitly by a call to ZUNGQR and then performing matrix
     multiplication by a call to ZGEMM.

Parameters
    M

              M is INTEGER
              The order of the orthogonal matrix Q.  M >= 0.

    N

              N is INTEGER
              The number of rows or columns of the matrix C; C is m-by-n if
              Q is applied from the left, or n-by-m if Q is applied from
              the right.  N >= 0.

    K

              K is INTEGER
              The number of elementary reflectors whose product defines the
              orthogonal matrix Q.  M >= K >= 0.

    AF

              AF is COMPLEX*16 array, dimension (LDA,N)
              Details of the QR factorization of an m-by-n matrix, as
              returned by ZGEQRF. See ZGEQRF for further details.

    C

              C is COMPLEX*16 array, dimension (LDA,N)

    CC

              CC is COMPLEX*16 array, dimension (LDA,N)

    Q

              Q is COMPLEX*16 array, dimension (LDA,M)

    LDA

              LDA is INTEGER
              The leading dimension of the arrays AF, C, CC, and Q.

    TAU

              TAU is COMPLEX*16 array, dimension (min(M,N))
              The scalar factors of the elementary reflectors corresponding
              to the QR factorization in AF.

    WORK

              WORK is COMPLEX*16 array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
              The length of WORK.  LWORK must be at least M, and should be
              M*NB, where NB is the blocksize for this environment.

    RWORK

              RWORK is DOUBLE PRECISION array, dimension (M)

    RESULT

              RESULT is DOUBLE PRECISION array, dimension (4)
              The test ratios compare two techniques for multiplying a
              random matrix C by an m-by-m orthogonal matrix Q.
              RESULT(1) = norm( Q*C - Q*C )  / ( M * norm(C) * EPS )
              RESULT(2) = norm( C*Q - C*Q )  / ( M * norm(C) * EPS )
              RESULT(3) = norm( Q'*C - Q'*C )/ ( M * norm(C) * EPS )
              RESULT(4) = norm( C*Q' - C*Q' )/ ( M * norm(C) * EPS )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 134 of file zqrt03.f.

Author

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