NAME

TESTING/LIN/dqlt01.f

SYNOPSIS

Functions/Subroutines

subroutine dqlt01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
DQLT01

Function/Subroutine Documentation

subroutine dqlt01 (integer m, integer n, double precision, dimension( lda, * ) a, double precision, dimension( lda, * ) af, double precision, dimension( lda, * ) q, double precision, dimension( lda, * ) l, integer lda, double precision, dimension( * ) tau, double precision, dimension( lwork ) work, integer lwork, double precision, dimension( * ) rwork, double precision, dimension( * ) result)

DQLT01

Purpose:



 DQLT01 tests DGEQLF, which computes the QL factorization of an m-by-n


 matrix A, and partially tests DORGQL which forms the m-by-m


 orthogonal matrix Q.


 DQLT01 compares L with Q'*A, and checks that Q is orthogonal.

Parameters



          M is INTEGER


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



          N is INTEGER


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



          A is DOUBLE PRECISION array, dimension (LDA,N)


          The m-by-n matrix A.



          AF is DOUBLE PRECISION array, dimension (LDA,N)


          Details of the QL factorization of A, as returned by DGEQLF.


          See DGEQLF for further details.



          Q is DOUBLE PRECISION array, dimension (LDA,M)


          The m-by-m orthogonal matrix Q.



          L is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (min(M,N))


          The scalar factors of the elementary reflectors, as returned


          by DGEQLF.

WORK



          WORK is DOUBLE PRECISION array, dimension (LWORK)

LWORK



          LWORK is INTEGER


          The dimension of the array WORK.

RWORK



          RWORK is DOUBLE PRECISION array, dimension (M)

RESULT



          RESULT is DOUBLE PRECISION 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 dqlt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.