zunglq (l)  Linux Man Pages
zunglq: generates an MbyN complex matrix Q with orthonormal rows,
NAME
ZUNGLQ  generates an MbyN complex matrix Q with orthonormal rows,SYNOPSIS
 SUBROUTINE ZUNGLQ(
 M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
 INTEGER INFO, K, LDA, LWORK, M, N
 COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
PURPOSE
ZUNGLQ generates an MbyN complex matrix Q with orthonormal rows, which is defined as the first M rows of a product of K elementary reflectors of order NQ
as returned by ZGELQF.
ARGUMENTS
 M (input) INTEGER
 The number of rows of the matrix Q. M >= 0.
 N (input) INTEGER
 The number of columns of the matrix Q. N >= M.
 K (input) INTEGER
 The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.
 A (input/output) COMPLEX*16 array, dimension (LDA,N)
 On entry, the ith row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGELQF in the first k rows of its array argument A. On exit, the MbyN matrix Q.
 LDA (input) INTEGER
 The first dimension of the array A. LDA >= max(1,M).
 TAU (input) COMPLEX*16 array, dimension (K)
 TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGELQF.
 WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))
 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
 LWORK (input) INTEGER
 The dimension of the array WORK. LWORK >= max(1,M). For optimum performance LWORK >= M*NB, where NB is the optimal blocksize. If LWORK = 1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
 INFO (output) INTEGER

= 0: successful exit;
< 0: if INFO = i, the ith argument has an illegal value