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First Author : Weiping Shen

Date of Publication : 2009-01-01

Journal : Applied Numerical Mathematics

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.59

Issue : No.7

Page Number : 1599-1611

ISSN : 0168-9274

Key Words : Nonlinear;equation;Inexact;Newton;methods;Lipschitz;condition;Kantorovich-type;theorem

Abstract : Assuming that the first derivative of an operator satisfies the Lipschitz condition, a Kantorovich-type convergence criterion for inexact Newton methods is established, which includes the well-known Kantorovich's theorem as a special case. Comparisons and

Translation or Not : no