DQLT02 tests DORGQL, 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, DQLT02 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.

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 DOUBLE PRECISION array, dimension (LDA,N)


          The m-by-n matrix A which was factorized by DQLT01.

AF

          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

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

L

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

LDA

          LDA is INTEGER


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

TAU

          TAU is DOUBLE PRECISION array, dimension (N)


          The scalar factors of the elementary reflectors corresponding


          to the QL 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 - Q'*A ) / ( M * norm(A) * EPS )


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

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