A family of Chebyshev-Halley type methods in Banach spaces-Reference-Cited by-同舟云学术

A family of Chebyshev-Halley type methods in Banach spaces

Published:1997-02 Issue:1 Volume:55 Page:113-130
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Gutiérrez J.M.,Hernández M.A.

Abstract

A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates. This study allows us to compare the most famous third-order iterative processes.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

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