Root Mean Square Newton’s Method

No Thumbnail Available

Date

2017-10-14

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

In this paper we discuss a new modification of Newton’s method based on Root Mean Square rule for solving nonlinear equations. We show that the convergence of the proposed method is of order three. We verify the theoretical results on relevant numerical problems and compare the behavior of the propose method with some mean based Newton’s method

Description

Keywords

Arithmetic Mean, Geometry Mean, Harmonic Mean, Heronian Mean, Root Mean Square

Citation