Attracting Periodic Cycles for an Optimal Fourth-Order Nonlinear Solver

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.

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Bibliographic Details
Main Authors: Mi Young Lee, Changbum Chun
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/263893
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