DLQT02 tests DORGLQ, which generates an m-by-n matrix Q with


 orthonormal rows that is defined as the product of k elementary


 reflectors.


 Given the LQ factorization of an m-by-n matrix A, DLQT02 generates


 the orthogonal matrix Q defined by the factorization of the first k


 rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,1:n)', and


 checks that the rows of Q are orthonormal.

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.


          N >= M >= 0.

K

          K is INTEGER


          The number of elementary reflectors whose product defines the


          matrix Q. M >= K >= 0.

A

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


          The m-by-n matrix A which was factorized by DLQT01.

AF

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


          Details of the LQ factorization of A, as returned by DGELQF.


          See DGELQF for further details.

Q

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

L

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

LDA

          LDA is INTEGER


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

TAU

          TAU is DOUBLE PRECISION array, dimension (M)


          The scalar factors of the elementary reflectors corresponding


          to the LQ factorization in AF.

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 - A*Q' ) / ( N * norm(A) * EPS )


          RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.