ZLQT02 tests ZUNGLQ, 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, ZLQT02 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*16 array, dimension (LDA,N)


          The m-by-n matrix A which was factorized by ZLQT01.

AF

          AF is COMPLEX*16 array, dimension (LDA,N)


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


          See ZGELQF for further details.

Q

          Q is COMPLEX*16 array, dimension (LDA,N)

L

          L is COMPLEX*16 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*16 array, dimension (M)


          The scalar factors of the elementary reflectors corresponding


          to the LQ factorization in AF.

WORK

          WORK is COMPLEX*16 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 )

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