sorgr2 (3) - Linux Man Pages
subroutine sorgr2 (integerM, integerN, integerK, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO)
SORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm).
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.
M is INTEGER The number of rows of the matrix Q. M >= 0.
N is INTEGER The number of columns of the matrix Q. N >= M.
K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
A is 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.
LDA is INTEGER The first dimension of the array A. LDA >= max(1,M).
TAU is REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGERQF.
WORK is REAL array, dimension (M)
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
- September 2012
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