zungqr.f (3)  Linux Manuals
NAME
zungqr.f 
SYNOPSIS
Functions/Subroutines
subroutine zungqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGQR
Function/Subroutine Documentation
subroutine zungqr (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerLWORK, integerINFO)
ZUNGQR
Purpose:

ZUNGQR generates an MbyN complex matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M Q = H(1) H(2) . . . H(k) as returned by ZGEQRF.
Parameters:

M
M is INTEGER The number of rows of the matrix Q. M >= 0.
NN is INTEGER The number of columns of the matrix Q. M >= N >= 0.
KK is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
AA is COMPLEX*16 array, dimension (LDA,N) On entry, the ith column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by ZGEQRF in the first k columns of its array argument A. On exit, the MbyN matrix Q.
LDALDA is INTEGER The first dimension of the array A. LDA >= max(1,M).
TAUTAU is COMPLEX*16 array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEQRF.
WORKWORK is COMPLEX*16 array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
LWORKLWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,N). For optimum performance LWORK >= N*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.
INFOINFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument has an illegal value
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 November 2011
Definition at line 129 of file zungqr.f.
Author
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