An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations

We develop a high-order fixed point type method to approximate a multiple root. By using three functional evaluations per full cycle, a new class of fourth-order methods for this purpose is suggested and established. The methods from the class require the knowledge of the multiplicity. We also prese...

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Bibliographic Details
Main Authors: Fazlollah Soleymani, Stanford Shateyi, Gülcan Özkum
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/837243