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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2013/837243 |