Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces

We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces. We make an attempt to establish the semilocal convergence of this method by using recurrence relations. The recurrence relations for the method are derived, and then an existence-uniquenes...

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Bibliographic Details
Main Authors: Liang Chen, Chuanqing Gu, Yanfang Ma
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/786306
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