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https://open.uns.ac.rs/handle/123456789/6105
Title: | A family of methods for solving nonlinear equations | Authors: | Herceg, Đorđe Herceg, Dragoslav |
Issue Date: | 15-May-2015 | Journal: | Applied Mathematics and Computation | Abstract: | © 2015 Elsevier Inc. All rights reserved. We present a family of methods for solving nonlinear equations. Some well-known classical methods and their modifications belong to our family, for example Newton, Potra-Pták, Chebyshev, Halley and Ostrowski's methods. Convergence analysis shows that our family contains methods of convergence order from 2 to 4. All our fourth order methods are optimal in terms of the Kung and Traub conjecture. Several examples are presented and compared. | URI: | https://open.uns.ac.rs/handle/123456789/6105 | ISSN: | 00963003 | DOI: | 10.1016/j.amc.2015.03.028 |
Appears in Collections: | PMF Publikacije/Publications |
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