TESTING/LIN/sqlt02.f(3)    Library Functions Manual    TESTING/LIN/sqlt02.f(3)

NAME
       TESTING/LIN/sqlt02.f

SYNOPSIS
   Functions/Subroutines
       subroutine sqlt02 (m, n, k, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           SQLT02

Function/Subroutine Documentation
   subroutine sqlt02 (integer m, integer n, integer k, 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)
       SQLT02

       Purpose:


            SQLT02 tests SORGQL, which generates an m-by-n matrix Q with
            orthonormal columns that is defined as the product of k elementary
            reflectors.

            Given the QL factorization of an m-by-n matrix A, SQLT02 generates
            the orthogonal matrix Q defined by the factorization of the last k
            columns of A; it compares L(m-n+1:m,n-k+1:n) with
            Q(1:m,m-n+1:m)'*A(1:m,n-k+1:n), and checks that the columns of Q are
            orthonormal.

       Parameters
           M

                     M is INTEGER
                     The number of rows of the matrix Q to be generated.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix Q to be generated.
                     M >= N >= 0.

           K

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

           A

                     A is REAL array, dimension (LDA,N)
                     The m-by-n matrix A which was factorized by SQLT01.

           AF

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

           Q

                     Q is REAL array, dimension (LDA,N)

           L

                     L is REAL array, dimension (LDA,N)

           LDA

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

           TAU

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

           WORK

                     WORK is REAL array, dimension (LWORK)

           LWORK

                     LWORK is INTEGER
                     The dimension of the array WORK.

           RWORK

                     RWORK is REAL array, dimension (M)

           RESULT

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

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 134 of file sqlt02.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/sqlt02.f(3)