.TH SORGR2 1 "November 2006" " LAPACK routine (version 3.1) " " LAPACK routine (version 3.1) " .SH NAME SORGR2 - an m by n real matrix Q with orthonormal rows, .SH SYNOPSIS .TP 19 SUBROUTINE SORGR2( M, N, K, A, LDA, TAU, WORK, INFO ) .TP 19 .ti +4 INTEGER INFO, K, LDA, M, N .TP 19 .ti +4 REAL A( LDA, * ), TAU( * ), WORK( * ) .SH PURPOSE SORGR2 generates an m by n real matrix Q with orthonormal rows, which is defined as the last m rows of a product of k elementary reflectors of order n .br Q = H(1) H(2) . . . H(k) .br as returned by SGERQF. .br .SH ARGUMENTS .TP 8 M (input) INTEGER The number of rows of the matrix Q. M >= 0. .TP 8 N (input) INTEGER The number of columns of the matrix Q. N >= M. .TP 8 K (input) INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. .TP 8 A (input/output) REAL array, dimension (LDA,N) On entry, the (m-k+i)-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGERQF in the last k rows of its array argument A. On exit, the m by n matrix Q. .TP 8 LDA (input) INTEGER The first dimension of the array A. LDA >= max(1,M). .TP 8 TAU (input) REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGERQF. .TP 8 WORK (workspace) REAL array, dimension (M) .TP 8 INFO (output) INTEGER = 0: successful exit .br < 0: if INFO = -i, the i-th argument has an illegal value