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Local convergence of inexact methods under the H?lder condition

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Date of Publication : 2007-01-01

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 : Nonlinear;operator;equation;Inexact;Newton-like;methods;H?lder;condition;Inverse;eigenvalue;problem

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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