Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space

We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, two numerical examples are given.

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Bibliographic Details
Main Authors: Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/468694
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