Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Inverse q-Columns Updating Methods for solving nonlinear systems of equations
Author: de Mendonca, LF
Perez, R
Lopes, VLR
Abstract: In this work new quasi-Newton methods for solving large-scale nonlinear systems of equations are presented. In these methods q ( > 1) columns of the approximation of the inverse Jacobian matrix are updated in such a way that the q last secant equations are satisfied (whenever possible) at every iteration. An optimal maximum value for q that makes the method competitive is strongly suggested. The best implementation from the point of view of linear algebra and numerical stability is proposed and a local convergence result for the case q=2 is proved. Several numerical comparative tests with other quasi-Newton methods are carried out. (C) 2003 Elsevier B.V. All rights reserved.
Subject: inverse q-Columns Updating Method
nonlinear systems
quasi-Newton methods
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0377-0427(03)00451-5
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000186137500005.pdf239.38 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.