New third order nonlinear solvers for multiple roots
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Authors
Neta, B.
Subjects
Osada
Fixed point
Multiple roots
Nonlinear equations
High order
Chebyshev
Fixed point
Multiple roots
Nonlinear equations
High order
Chebyshev
Advisors
Date of Issue
2008
Date
2008
Publisher
Elsevier Inc.
Language
en_US
Abstract
Two third order methods for finding multiple zeros of nonlinear functions are developed. One method is based on
Chebyshev’s third order scheme (for simple roots) and the other is a family based on a variant of Chebyshev’s which does
not require the second derivative. Two other more efficient methods of lower order are also given. These last two methods
are variants of Chebyshev’s and Osada’s schemes. The informational efficiency of the methods is discussed. All these methods
require the knowledge of the multiplicity.
Published by Elsevier Inc.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2008.01.031
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
10 p.
Citation
Neta, B. 2008, "New third order nonlinear solvers for multiple roots", Applied Mathematics and Computation, vol. 202, no. 1, pp. 162-170.
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.