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Local convergence of inexact methods under the H?lder condition.

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First Author : Li,Chong

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

ISSN : 0377-0427

Key Words : CONVERGENCE;FUNCTIONS;OPERATOR;theory;FUNCTIONAL;analysis

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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