zlarz (3)  Linux Manuals
NAME
zlarz.f 
SYNOPSIS
Functions/Subroutines
subroutine zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
Function/Subroutine Documentation
subroutine zlarz (characterSIDE, integerM, integerN, integerL, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK)
ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
Purpose:

ZLARZ applies a complex elementary reflector H to a complex MbyN matrix C, from either the left or the right. H is represented in the form H = I  tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau. H is a product of k elementary reflectors as returned by ZTZRZF.
Parameters:

SIDE
SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H
MM is INTEGER The number of rows of the matrix C.
NN is INTEGER The number of columns of the matrix C.
LL is INTEGER The number of entries of the vector V containing the meaningful part of the Householder vectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
VV is COMPLEX*16 array, dimension (1+(L1)*abs(INCV)) The vector v in the representation of H as returned by ZTZRZF. V is not used if TAU = 0.
INCVINCV is INTEGER The increment between elements of v. INCV <> 0.
TAUTAU is COMPLEX*16 The value tau in the representation of H.
CC is COMPLEX*16 array, dimension (LDC,N) On entry, the MbyN matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.
LDCLDC is INTEGER The leading dimension of the array C. LDC >= max(1,M).
WORKWORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R'
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 September 2012
Contributors:
 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
Further Details:
Definition at line 148 of file zlarz.f.
Author
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