CLQT01 tests CGELQF, which computes the LQ factorization of an m-by-n


 matrix A, and partially tests CUNGLQ which forms the n-by-n


 orthogonal matrix Q.


 CLQT01 compares L with A*Q', and checks that Q is orthogonal.

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 COMPLEX array, dimension (LDA,N)


          The m-by-n matrix A.

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)


          The n-by-n orthogonal matrix Q.

L

          L is COMPLEX array, dimension (LDA,max(M,N))

LDA

          LDA is INTEGER


          The leading dimension of the arrays A, AF, Q and L.


          LDA >= max(M,N).

TAU

          TAU is COMPLEX array, dimension (min(M,N))


          The scalar factors of the elementary reflectors, as returned


          by CGELQF.

WORK

          WORK is COMPLEX array, dimension (LWORK)

LWORK

          LWORK is INTEGER


          The dimension of the array WORK.

RWORK

          RWORK is REAL array, dimension (max(M,N))

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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