TESTING/LIN/slqt03.f(3)    Library Functions Manual    TESTING/LIN/slqt03.f(3)

NAME
       TESTING/LIN/slqt03.f

SYNOPSIS
   Functions/Subroutines
       subroutine slqt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
           result)
           SLQT03

Function/Subroutine Documentation
   subroutine slqt03 (integer m, integer n, integer k, real, dimension( lda, *
       ) af, real, dimension( lda, * ) c, real, dimension( lda, * ) cc, real,
       dimension( lda, * ) q, integer lda, real, dimension( * ) tau, real,
       dimension( lwork ) work, integer lwork, real, dimension( * ) rwork,
       real, dimension( * ) result)
       SLQT03

       Purpose:


            SLQT03 tests SORMLQ, which computes Q*C, Q'*C, C*Q or C*Q'.

            SLQT03 compares the results of a call to SORMLQ with the results of
            forming Q explicitly by a call to SORGLQ and then performing matrix
            multiplication by a call to SGEMM.

       Parameters
           M

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

           N

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

           K

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

           AF

                     AF is REAL array, dimension (LDA,N)
                     Details of the LQ factorization of an m-by-n matrix, as
                     returned by SGELQF. See SGELQF for further details.

           C

                     C is REAL array, dimension (LDA,N)

           CC

                     CC is REAL array, dimension (LDA,N)

           Q

                     Q is REAL array, dimension (LDA,N)

           LDA

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

           TAU

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

           WORK

                     WORK is REAL 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 n-by-n orthogonal matrix Q.
                     RESULT(1) = norm( Q*C - Q*C )  / ( N * norm(C) * EPS )
                     RESULT(2) = norm( C*Q - C*Q )  / ( N * norm(C) * EPS )
                     RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS )
                     RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 134 of file slqt03.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/slqt03.f(3)