CLQT02 tests CUNGLQ, 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, CLQT02 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 COMPLEX array, dimension (LDA,N)


          The m-by-n matrix A which was factorized by CLQT01.

AF

          AF is COMPLEX array, dimension (LDA,N)


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


          See CGELQF for further details.

Q

          Q is COMPLEX array, dimension (LDA,N)

L

          L is COMPLEX array, dimension (LDA,M)

LDA

          LDA is INTEGER


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

TAU

          TAU is COMPLEX array, dimension (M)


          The scalar factors of the elementary reflectors corresponding


          to the LQ factorization in AF.

WORK

          WORK is COMPLEX 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 - A*Q' ) / ( N * norm(A) * EPS )


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

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