cgqrts()

subroutine cgqrts	(	integer	N,
		integer	M,
		integer	P,
		complex, dimension( lda, * )	A,
		complex, dimension( lda, * )	AF,
		complex, dimension( lda, * )	Q,
		complex, dimension( lda, * )	R,
		integer	LDA,
		complex, dimension( * )	TAUA,
		complex, dimension( ldb, * )	B,
		complex, dimension( ldb, * )	BF,
		complex, dimension( ldb, * )	Z,
		complex, dimension( ldb, * )	T,
		complex, dimension( ldb, * )	BWK,
		integer	LDB,
		complex, dimension( * )	TAUB,
		complex, dimension( lwork )	WORK,
		integer	LWORK,
		real, dimension( * )	RWORK,
		real, dimension( 4 )	RESULT
	)

CGQRTS

Purpose:

 CGQRTS tests CGGQRF, which computes the GQR factorization of an
 N-by-M matrix A and a N-by-P matrix B: A = Q*R and B = Q*T*Z.

Parameters

[in]	N	N is INTEGER The number of rows of the matrices A and B. N >= 0.
[in]	M	M is INTEGER The number of columns of the matrix A. M >= 0.
[in]	P	P is INTEGER The number of columns of the matrix B. P >= 0.
[in]	A	A is COMPLEX array, dimension (LDA,M) The N-by-M matrix A.
[out]	AF	AF is COMPLEX array, dimension (LDA,N) Details of the GQR factorization of A and B, as returned by CGGQRF, see CGGQRF for further details.
[out]	Q	Q is COMPLEX array, dimension (LDA,N) The M-by-M unitary matrix Q.
[out]	R	R is COMPLEX array, dimension (LDA,MAX(M,N))
[in]	LDA	LDA is INTEGER The leading dimension of the arrays A, AF, R and Q. LDA >= max(M,N).
[out]	TAUA	TAUA is COMPLEX array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by CGGQRF.
[in]	B	B is COMPLEX array, dimension (LDB,P) On entry, the N-by-P matrix A.
[out]	BF	BF is COMPLEX array, dimension (LDB,N) Details of the GQR factorization of A and B, as returned by CGGQRF, see CGGQRF for further details.
[out]	Z	Z is COMPLEX array, dimension (LDB,P) The P-by-P unitary matrix Z.
[out]	T	T is COMPLEX array, dimension (LDB,max(P,N))
[out]	BWK	BWK is COMPLEX array, dimension (LDB,N)
[in]	LDB	LDB is INTEGER The leading dimension of the arrays B, BF, Z and T. LDB >= max(P,N).
[out]	TAUB	TAUB is COMPLEX array, dimension (min(P,N)) The scalar factors of the elementary reflectors, as returned by SGGRQF.
[out]	WORK	WORK is COMPLEX array, dimension (LWORK)
[in]	LWORK	LWORK is INTEGER The dimension of the array WORK, LWORK >= max(N,M,P)**2.
[out]	RWORK	RWORK is REAL array, dimension (max(N,M,P))
[out]	RESULT	RESULT is REAL array, dimension (4) The test ratios: RESULT(1) = norm( R - Q'*A ) / ( MAX(M,N)*norm(A)*ULP) RESULT(2) = norm( T*Z - Q'*B ) / (MAX(P,N)*norm(B)*ULP) RESULT(3) = norm( I - Q'*Q ) / ( M*ULP ) RESULT(4) = norm( I - Z'*Z ) / ( P*ULP )

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.