ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES-Reference-Cited by-同舟云学术

ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES

Published:2022-08-29 Issue: Volume: Page:
ISSN:2636-7556
Container-title:Results in Nonlinear Analysis
language:en
Short-container-title:RNA

Author:

P B Suma¹,SHOBHA M. E.¹,GEORGE Santhosh²

Affiliation:

1. manipal institute of technology

2. National Institute of Technology Karnataka

Abstract

A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Geometry and Topology,Mathematics (miscellaneous),Analysis

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