Some modification of Newton's method by the method of undetermined coefficients
Authors
Chun, Changbum
Neta, Beny
Advisors
Second Readers
Subjects
Newton’s method
Method of undetermined coefficients
Iterative methods
Nonlinear equations
Order of convergence
Root-finding methods
Method of undetermined coefficients
Iterative methods
Nonlinear equations
Order of convergence
Root-finding methods
Date of Issue
2008
Date
2008
Publisher
Elsevier
Language
Abstract
In this paper, we construct some modifications of Newton’s method for solving nonlinear
equations, which is based on the method of undetermined coefficients. It is shown
by way of illustration that the method of undetermined coefficients is a promising
tool for developing new methods, and reveals its wide applicability by obtaining some
existing methods as special cases. Two new sixth-order methods are developed. Numerical
examples are given to support that the methods thus obtained can compete with other
iterative methods.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.camwa.2008.05.005
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
12 p.
Citation
Chun, C. & Neta, B. 2008, "Some modification of Newton's method by the method of undetermined coefficients", Computers & Mathematics with Applications, vol. 56, no. 10, pp. 2528-2538.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.