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

Rongfei Lin; Yueqing Zhao; Qingbiao Wu; Jueliang Hu

doi:10.1155/2014/468694

Journal of Applied Mathematics (Jan 2014)

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

Rongfei Lin,
Yueqing Zhao,
Qingbiao Wu,
Jueliang Hu

Affiliations

Rongfei Lin: Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, China
Yueqing Zhao: Department of Mathematics, Taizhou University, Linhai, Zhejiang 317000, China
Qingbiao Wu: Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, China
Jueliang Hu: Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China

DOI: https://doi.org/10.1155/2014/468694
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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