
NAMEzungr2.f SYNOPSISFunctions/Subroutinessubroutine zungr2 (M, N, K, A, LDA, TAU, WORK, INFO) Function/Subroutine Documentationsubroutine 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). Purpose: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
Author:
M is INTEGER The number of rows of the matrix Q. M >= 0.N N is INTEGER The number of columns of the matrix Q. N >= M.K K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.A A is COMPLEX*16 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 ZGERQF in the last k rows of its array argument A. On exit, the mbyn matrix Q.LDA LDA is INTEGER The first dimension of the array A. LDA >= max(1,M).TAU 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 WORK is COMPLEX*16 array, dimension (M)INFO INFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument has an illegal value Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 115 of file zungr2.f.
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