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Type: Artigo de periódico
Title: On the convergence of quasi-Newton methods for nonsmooth problems
Author: Lopes, VLR
Martinez, JM
Abstract: We develop a theory of quasi-Newton and least-change update methods for solving systems of nonlinear equations F(x) = 0. In this theory, no differentiability conditions are necessary. Instead, we assume that F can be approximated, in a weak sense, by an affine function in a neighborhood of a solution. Using this assumption, we prove local and ideal convergence. Our theory can be applied to B-differentiable functions and to partially differentiable functions.
Subject: nonlinear equations
quasi-Newton methods
local convergence
nonsmooth functions
Editor: Marcel Dekker Inc
Rights: fechado
Identifier DOI: 10.1080/01630569508816669
Date Issue: 1995
Appears in Collections:Unicamp - Artigos e Outros Documentos

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