ZUNGHR(l) LAPACK routine (version 1.1) ZUNGHR(l)
NAME
ZUNGHR - generate a complex unitary matrix Q which is defined as the pro-
duct of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD
SYNOPSIS
SUBROUTINE ZUNGHR( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO )
INTEGER IHI, ILO, INFO, LDA, LWORK, N
COMPLEX*16 A( LDA, * ), TAU( * ), WORK( LWORK )
PURPOSE
ZUNGHR generates a complex unitary matrix Q which is defined as the product
of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD:
Q = H(ilo) H(ilo+1) . . . H(ihi-1).
ARGUMENTS
N (input) INTEGER
The order of the matrix Q. N >= 0.
ILO (input) INTEGER
IHI (input) INTEGER ILO and IHI must have the same values as in
the previous call of ZGEHRD. Q is equal to the unit matrix except
in the submatrix Q(ilo+1:ihi,ilo+1:ihi). If N > 0, 1 <= ILO <= IHI
<= N; otherwise ILO = 1 and IHI = N.
A (input/output) COMPLEX*16 array, dimension (LDA,N)
On entry, the vectors which define the elementary reflectors, as
returned by ZGEHRD. On exit, the N-by-N unitary matrix Q.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TAU (input) COMPLEX*16 array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary reflector
H(i), as returned by ZGEHRD.
WORK (workspace) COMPLEX*16 array, dimension (LWORK)
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
LWORK (input) INTEGER
The dimension of the array WORK. LWORK >= IHI-ILO. For optimum
performance LWORK >= (IHI-ILO)*NB, where NB is the optimal block-
size.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
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