zungr2 (3) - Linux Man Pages
subroutine zungr2 (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerINFO)
ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm).
ZUNGR2 generates an m by n complex 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 H(2)**H . . . H(k)**H as returned by ZGERQF.
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 COMPLEX*16 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 ZGERQF 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 COMPLEX*16 array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGERQF.
WORK is COMPLEX*16 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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