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

Rongfei Lin | Zendy; Yueqing Zhao | Zendy; Qingbiao Wu | Zendy; Jueliang Hu | Zendy

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

Author(s) -

Rongfei Lin,

Yueqing Zhao,

Qingbiao Wu,

Jueliang Hu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/468694

Subject(s) - banach space , mathematics , convergence (economics) , unconditional convergence , nonlinear system , operator (biology) , space (punctuation) , mathematical analysis , pure mathematics , rate of convergence , compact convergence , computer science , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , economics , gene , economic growth , operating system , computer network , channel (broadcasting)

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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