TESTING/LIN/sqlt01.f(3)    Library Functions Manual    TESTING/LIN/sqlt01.f(3)

NAME
       TESTING/LIN/sqlt01.f

SYNOPSIS
   Functions/Subroutines
       subroutine sqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           SQLT01

Function/Subroutine Documentation
   subroutine sqlt01 (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)
       SQLT01

       Purpose:


           !>
           !> SQLT01 tests SGEQLF, which computes the QL factorization of an m-by-n
           !> matrix A, and partially tests SORGQL which forms the m-by-m
           !> orthogonal matrix Q.
           !>
           !> SQLT01 compares L with Q'*A, 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 QL factorization of A, as returned by SGEQLF.
           !>          See SGEQLF for further details.
           !>

           Q

           !>          Q is REAL array, dimension (LDA,M)
           !>          The m-by-m 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 R.
           !>          LDA >= max(M,N).
           !>

           TAU

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

           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 124 of file sqlt01.f.

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

LAPACK                          Version 3.12.0         TESTING/LIN/sqlt01.f(3)