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Smale's α-theory for inexact Newton methods under the γ-condition

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First Author : Weiping Shen

Date of Publication : 2010-01-01

Journal : Journal of Mathematical Analysis and Applications

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.369

Issue : No.1

Page Number : 29-42

ISSN : 0022-247X

Key Words : Nonlinear;equation;Inexact;Newton;method;γ-condition;Approximate;zero

Abstract : The present paper is concerned with the convergence problem of inexact Newton methods. Assuming that the nonlinear operator satisfies the γ-condition, a convergence criterion for inexact Newton methods is established which includes Smale's type convergenc

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