sorgr2 (l)  Linux Man Pages
sorgr2: generates an m by n real matrix Q with orthonormal rows,
NAME
SORGR2  generates an m by n real matrix Q with orthonormal rows,SYNOPSIS
 SUBROUTINE SORGR2(
 M, N, K, A, LDA, TAU, WORK, INFO )
 INTEGER INFO, K, LDA, M, N
 REAL A( LDA, * ), TAU( * ), WORK( * )
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 nQ
as returned by SGERQF.
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. 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 (mk+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.
 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 SGERQF.
 WORK (workspace) REAL array, dimension (M)
 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument has an illegal value