
NAMEzung2l.f SYNOPSISFunctions/Subroutinessubroutine zung2l (M, N, K, A, LDA, TAU, WORK, INFO) Function/Subroutine Documentationsubroutine zung2l (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerINFO)ZUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm). Purpose:ZUNG2L generates an m by n complex matrix Q with orthonormal columns, which is defined as the last n columns of a product of k elementary reflectors of order m Q = H(k) . . . H(2) H(1) as returned by ZGEQLF. 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. M >= N >= 0.K K is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.A A is COMPLEX*16 array, dimension (LDA,N) On entry, the (nk+i)th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGEQLF in the last k columns 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 ZGEQLF.WORK WORK is COMPLEX*16 array, dimension (N)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 zung2l.f.
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