Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/53909
Type: Artigo de periódico
Title: A THEORY OF SECANT PRECONDITIONERS
Author: MARTINEZ, JM
Abstract: In this paper we analyze the use of structured quasi-Newton formulae as preconditioners of iterative linear methods when the inexact-Newton approach is employed for solving nonlinear systems of equations. We prove that superlinear convergence and bounded work per iteration is obtained if the preconditioners satisfy a Dennis-More condition. We develop a theory of Least-Change Secant Update preconditioners and we present an application concerning a structured BFGS preconditioner.
Subject: NONLINEAR SYSTEMS
INEXACT-NEWTON METHODS
QUASI-NEWTON METHODS
PRECONDITIONERS
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.2307/2153109
Date Issue: 1993
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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