cqlt02()

subroutine cqlt02	(	integer	M,
		integer	N,
		integer	K,
		complex, dimension( lda, * )	A,
		complex, dimension( lda, * )	AF,
		complex, dimension( lda, * )	Q,
		complex, dimension( lda, * )	L,
		integer	LDA,
		complex, dimension( * )	TAU,
		complex, dimension( lwork )	WORK,
		integer	LWORK,
		real, dimension( * )	RWORK,
		real, dimension( * )	RESULT
	)

CQLT02

Purpose:

 CQLT02 tests CUNGQL, which generates an m-by-n matrix Q with
 orthonornmal columns that is defined as the product of k elementary
 reflectors.

 Given the QL factorization of an m-by-n matrix A, CQLT02 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.

Parameters

[in]	M	M is INTEGER The number of rows of the matrix Q to be generated. M >= 0.
[in]	N	N is INTEGER The number of columns of the matrix Q to be generated. M >= N >= 0.
[in]	K	K is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
[in]	A	A is COMPLEX array, dimension (LDA,N) The m-by-n matrix A which was factorized by CQLT01.
[in]	AF	AF is COMPLEX array, dimension (LDA,N) Details of the QL factorization of A, as returned by CGEQLF. See CGEQLF for further details.
[out]	Q	Q is COMPLEX array, dimension (LDA,N)
[out]	L	L is COMPLEX array, dimension (LDA,N)
[in]	LDA	LDA is INTEGER The leading dimension of the arrays A, AF, Q and L. LDA >= M.
[in]	TAU	TAU is COMPLEX array, dimension (N) The scalar factors of the elementary reflectors corresponding to the QL factorization in AF.
[out]	WORK	WORK is COMPLEX array, dimension (LWORK)
[in]	LWORK	LWORK is INTEGER The dimension of the array WORK.
[out]	RWORK	RWORK is REAL array, dimension (M)
[out]	RESULT	RESULT is REAL array, dimension (2) The test ratios: RESULT(1) = norm( L - Q'*A ) / ( M * norm(A) * EPS ) RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.