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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