ZUNG2L - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)

NAMEZUNG2L - generates an m by n complex matrix Q with orthonormal columns,

SYNOPSISSUBROUTINE ZUNG2L(  M, N, K, A, LDA, TAU, WORK, INFO )  INTEGER INFO, K, LDA, M, N  COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )

PURPOSEZUNG2L 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.

ARGUMENTSM (input) INTEGER  The number of rows of the matrix Q. M >= 0. N (input) INTEGER  The number of columns of the matrix Q. M >= N >= 0. K (input) INTEGER  The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0. A (input/output) COMPLEX*16 array, dimension (LDA,N)  On entry, the (n-k+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 m-by-n 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 ZGEQLF. WORK (workspace) COMPLEX*16 array, dimension (N)  INFO (output) INTEGER  = 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value
0
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