TESTING/LIN/slqt01.f(3)    Library Functions Manual    TESTING/LIN/slqt01.f(3)

NAME
       TESTING/LIN/slqt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine slqt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           SLQT01

Function/Subroutine Documentation
   subroutine slqt01 (integer m, integer n, real, dimension( lda, * ) a, real,
       dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension(
       lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension(
       lwork ) work, integer lwork, real, dimension( * ) rwork, real,
       dimension( * ) result)
       SLQT01

       Purpose:


            SLQT01 tests SGELQF, which computes the LQ factorization of an m-by-n
            matrix A, and partially tests SORGLQ which forms the n-by-n
            orthogonal matrix Q.

            SLQT01 compares L with A*Q', and checks that Q is orthogonal.

       Parameters
           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     The m-by-n matrix A.

           AF

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

           Q

                     Q is REAL array, dimension (LDA,N)
                     The n-by-n orthogonal matrix Q.

           L

                     L is REAL array, dimension (LDA,max(M,N))

           LDA

                     LDA is INTEGER
                     The leading dimension of the arrays A, AF, Q and L.
                     LDA >= max(M,N).

           TAU

                     TAU is REAL array, dimension (min(M,N))
                     The scalar factors of the elementary reflectors, as returned
                     by SGELQF.

           WORK

                     WORK is REAL array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The dimension of the array WORK.

           RWORK

                     RWORK is REAL array, dimension (max(M,N))

           RESULT

                     RESULT is REAL array, dimension (2)
                     The test ratios:
                     RESULT(1) = norm( L - A*Q' ) / ( N * norm(A) * EPS )
                     RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 124 of file slqt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/slqt01.f(3)