Converting columns to matrix Post: 302738061

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sorg2l

SORG2L(l)								 )								 SORG2L(l)

NAME

       SORG2L - generate an m by n real matrix Q with orthonormal columns,

SYNOPSIS

       SUBROUTINE SORG2L( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       SORG2L  generates  an  m  by  n real matrix Q with orthonormal columns, which is defined as the last n columns of a product of k elementary
       reflectors of order m

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

       as returned by SGEQLF.

ARGUMENTS

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

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

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

       A       (input/output) REAL array, dimension (LDA,N)
	       On entry, the (n-k+i)-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned
	       by SGEQLF in the last k columns 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 SGEQLF.

       WORK    (workspace) REAL array, dimension (N)

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

LAPACK version 3.0						   15 June 2000 							 SORG2L(l)