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SORGR2(1) LAPACK routine (version 3.2) SORGR2(1)

NAME

SORGR2 - generates an m by n real matrix Q with orthonormal rows,

SYNOPSIS

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 n
Q = H(1) H(2) . . . H(k)
as returned by SGERQF.

ARGUMENTS

The number of rows of the matrix Q. M >= 0.
The number of columns of the matrix Q. N >= M.
The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
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.
The first dimension of the array A. LDA >= max(1,M).
TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGERQF.
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value
November 2008 LAPACK routine (version 3.2)