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2012 Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver
Mi Young Lee, Changbum Chun
Abstr. Appl. Anal. 2012(SI12): 1-8 (2012). DOI: 10.1155/2012/263893

Abstract

We consider an optimal fourth-order method for solving nonlinear equations and construct polynomials such that the rational map arising from the method applied to these polynomials has an attracting periodic orbit of any prescribed period.

Citation

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Mi Young Lee. Changbum Chun. "Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver." Abstr. Appl. Anal. 2012 (SI12) 1 - 8, 2012. https://doi.org/10.1155/2012/263893

Information

Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1237.65072
MathSciNet: MR2914888
Digital Object Identifier: 10.1155/2012/263893

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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