High-order nonlinear solver for multiple roots
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Authors
Neta, B.
Johnson, Anthony N.
Subjects
High order
Fixed point
Nonlinear equations
Multiple roots
Fixed point
Nonlinear equations
Multiple roots
Advisors
Date of Issue
2008
Date
Publisher
Elsevier
Language
Abstract
A method of order four for finding multiple zeros of nonlinear functions is developed. The method is based on Jarratt’s fifth-order method (for simple roots) and it requires one evaluation of the function and three evaluations of the derivative. The informational efficiency of the method is the same as previously developed schemes of lower order. For the special case of double root, we found a family of fourth-order methods requiring one less derivative. Thus this family is more efficient than all others. All these methods require the knowledge of the multiplicity.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.camwa.2007.09.001
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
7 p.
Citation
Neta, B. & Johnson, A.N. 2008, "High-order nonlinear solver for multiple roots", Computers & Mathematics with Applications, vol. 55, no. 9, pp. 2012-2017.
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.