On a family of Halley-like methods to find simple roots of nonlinear equations

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Authors
Neta, Beny
Scott, Melvin
Subjects
Basin of attraction
Simple roots
Nonlinear equations
Halley method
Euler–Chebyshev method
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Date of Issue
2013
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Elsevier
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Abstract
There are many methods for solving a nonlinear algebraic equation. Here we introduce a family of Halley-like methods and show that Euler–Chebyshev and BSC are just members of the family. We discuss the conjugacy maps and the effect of the extraneous roots on the basins of attraction.
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Article
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The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2013.02.035
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https://hdl.handle.net/10945/43237
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Applied Mathematics
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Citation
Applied Mathematics and Computation, Volume 219, (2013), pp. 7940–7944
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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.
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