A third-order modification of Newton’s method for multiple roots
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Authors
Chun, Changbum
Neta, Beny
Subjects
Newton's method
Multiple roots
Iterative methods
Nonlinear equations
Order of convergence
Root-finding
Multiple roots
Iterative methods
Nonlinear equations
Order of convergence
Root-finding
Advisors
Date of Issue
2009
Date
2009
Publisher
Language
Abstract
In this paper, we present a new third-order modification of Newton’s method for multiple
roots, which is based on existing third-order multiple root-finding methods. Numerical
examples show that the new method is competitive to other methods for multiple roots.
Type
Description
Applied Mathematics and Computation, 211, (2009), 474-479.
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2009.01.087
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2009.01.087
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Department
Applied Mathematics
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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.