Open Access
2014 Optimal High-Order Methods for Solving Nonlinear Equations
S. Artidiello, A. Cordero, Juan R. Torregrosa, M. P. Vassileva
J. Appl. Math. 2014(SI13): 1-9 (2014). DOI: 10.1155/2014/591638


A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.


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S. Artidiello. A. Cordero. Juan R. Torregrosa. M. P. Vassileva. "Optimal High-Order Methods for Solving Nonlinear Equations." J. Appl. Math. 2014 (SI13) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07131711
MathSciNet: MR3208631
Digital Object Identifier: 10.1155/2014/591638

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI13 • 2014
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