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Local convergence of inexact methods under the Holder condition

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First Author : Li, C

Date of Publication : 2008-01-01

Journal : Journal of Computational and Applied Mathematics

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.222

Issue : No.2

Page Number : 544-560

Key Words : Convergence;of;numerical;methods;Banach;spaces;Eigenvalues;and;eigenfunctions;Error;analysis;Holmium;Inverse;problems;Iterative;methods;Mathematical;operators;Newton-Raphson;method;Nonlinear;equations;Switching;systems;Topology

Abstract : We Study the convergence properties for some inexact Newton-like methods including the inexact Newton methods for solving nonlinear operator equations on Banach spaces. A new type of residual control is presented. Under the assumption that the derivative

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