Convergência local do método de Newton inexato e suas variações do ponto de vista do princípio majorante de kantorovich

by Nobre Gonaçalves, Max Leandro

Abstract (Summary)
The search for solutions of nonlinear equations in the Euclidean spaces is object of interest in some areas of science and engineerings. Due the speed of convergence and computational efficiency, the inexact Newton method and its variations have been suficiently used to obtain solutions of these equations. In this dissertation we present a local analysis of convergence of the inexact Newton method and some of its variations, more specifically the inexact Newton-like method and the inexact modified Newton method. This analysis has the disadvantage to demand the previous knowledge of a zero of the operator in consideration and the hypotheses on the behavior of the operator at this zero, but on the other hand it supplies to information on the convergence rate and convergence radius.
This document abstract is also available in Portuguese.
Bibliographical Information:

Advisor:Orizon Pereira Ferreira

School:Universidade Federal de Goiás

School Location:Brazil

Source Type:Master's Thesis

Keywords:convergência do método inexato de newtonvariações newton matematica matemática aplicadanewton


Date of Publication:12/14/2007

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