On the R-order of convergence of Newton's method under mild differentiability conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:197

Article

Ezquerro, J. A. ; Hernandez, M. A.

关键词: nonlinear equations in Banach spaces;    Newton's method;    semilocal convergence theorem;    R-order of convergence;    A priori error bounds;    nonlinear integral equation;   

DOI  :  10.1016/j.cam.2005.10.023

来源: Elsevier

【 摘 要 】

A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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