TESTING/LIN/cqrt03.f(3)

NAME
TESTING/LIN/cqrt03.f

SYNOPSIS

  Functions/Subroutines
subroutine cqrt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
CQRT03

Function/Subroutine Documentation

  subroutine cqrt03 (integer m, integer n, integer k, complex, dimension( lda, * ) af, complex, dimension( lda, * ) c, complex, dimension( lda, * ) cc, complex, dimension( lda, * ) q, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

CQRT03

Purpose:

     CQRT03 tests CUNMQR, which computes Q*C, Q'*C, C*Q or C*Q'.
     CQRT03 compares the results of a call to CUNMQR with the results of
     forming Q explicitly by a call to CUNGQR and then performing matrix
     multiplication by a call to CGEMM.

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 array, dimension (LDA,N)
              Details of the QR factorization of an m-by-n matrix, as
              returned by CGEQRF. See CGEQRF for further details.

    C

              C is COMPLEX array, dimension (LDA,N)

    CC

              CC is COMPLEX array, dimension (LDA,N)

    Q

              Q is COMPLEX array, dimension (LDA,M)

    LDA

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

    TAU

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

    WORK

              WORK is COMPLEX 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 REAL array, dimension (M)

    RESULT

              RESULT is REAL 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 cqrt03.f.

Author

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