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SORGLQ(3F)							    SORGLQ(3F)


NAME    [Toc]    [Back]

     SORGLQ - generate an M-by-N real matrix Q with orthonormal	rows,

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SORGLQ(	M, N, K, A, LDA, TAU, WORK, LWORK, INFO	)

	 INTEGER	INFO, K, LDA, LWORK, M,	N

	 REAL		A( LDA,	* ), TAU( * ), WORK( LWORK )

PURPOSE    [Toc]    [Back]

     SORGLQ generates an M-by-N	real matrix Q with orthonormal rows, which is
     defined as	the first M rows of a product of K elementary reflectors of
     order N

	   Q  =	 H(k) .	. . H(2) H(1)

     as	returned by SGELQF.

ARGUMENTS    [Toc]    [Back]

     M	     (input) INTEGER
	     The number	of rows	of the matrix Q. M >= 0.

     N	     (input) INTEGER
	     The number	of columns of the matrix Q. N >= M.

     K	     (input) INTEGER
	     The number	of elementary reflectors whose product defines the
	     matrix Q. M >= K >= 0.

     A	     (input/output) REAL array,	dimension (LDA,N)
	     On	entry, the i-th	row must contain the vector which defines the
	     elementary	reflector H(i),	for i =	1,2,...,k, as returned by
	     SGELQF in the first k rows	of its array argument A.  On exit, the
	     M-by-N matrix Q.

     LDA     (input) INTEGER
	     The first dimension of the	array A. LDA >=	max(1,M).

     TAU     (input) REAL array, dimension (K)
	     TAU(i) must contain the scalar factor of the elementary reflector
	     H(i), as returned by SGELQF.

     WORK    (workspace/output)	REAL array, dimension (LWORK)
	     On	exit, if INFO =	0, WORK(1) returns the optimal LWORK.

     LWORK   (input) INTEGER
	     The dimension of the array	WORK. LWORK >= max(1,M).  For optimum
	     performance LWORK >= M*NB,	where NB is the	optimal	blocksize.





									Page 1






SORGLQ(3F)							    SORGLQ(3F)



     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument has an illegal value
SORGLQ(3F)							    SORGLQ(3F)


NAME    [Toc]    [Back]

     SORGLQ - generate an M-by-N real matrix Q with orthonormal	rows,

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SORGLQ(	M, N, K, A, LDA, TAU, WORK, LWORK, INFO	)

	 INTEGER	INFO, K, LDA, LWORK, M,	N

	 REAL		A( LDA,	* ), TAU( * ), WORK( LWORK )

PURPOSE    [Toc]    [Back]

     SORGLQ generates an M-by-N	real matrix Q with orthonormal rows, which is
     defined as	the first M rows of a product of K elementary reflectors of
     order N

	   Q  =	 H(k) .	. . H(2) H(1)

     as	returned by SGELQF.

ARGUMENTS    [Toc]    [Back]

     M	     (input) INTEGER
	     The number	of rows	of the matrix Q. M >= 0.

     N	     (input) INTEGER
	     The number	of columns of the matrix Q. N >= M.

     K	     (input) INTEGER
	     The number	of elementary reflectors whose product defines the
	     matrix Q. M >= K >= 0.

     A	     (input/output) REAL array,	dimension (LDA,N)
	     On	entry, the i-th	row must contain the vector which defines the
	     elementary	reflector H(i),	for i =	1,2,...,k, as returned by
	     SGELQF in the first k rows	of its array argument A.  On exit, the
	     M-by-N matrix Q.

     LDA     (input) INTEGER
	     The first dimension of the	array A. LDA >=	max(1,M).

     TAU     (input) REAL array, dimension (K)
	     TAU(i) must contain the scalar factor of the elementary reflector
	     H(i), as returned by SGELQF.

     WORK    (workspace/output)	REAL array, dimension (LWORK)
	     On	exit, if INFO =	0, WORK(1) returns the optimal LWORK.

     LWORK   (input) INTEGER
	     The dimension of the array	WORK. LWORK >= max(1,M).  For optimum
	     performance LWORK >= M*NB,	where NB is the	optimal	blocksize.





									Page 1






SORGLQ(3F)							    SORGLQ(3F)



     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument has an illegal value


									PPPPaaaaggggeeee 2222
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