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Title: | Always-convergent hybrid methods for finding roots of nonlinear equations | Authors: | Hitti, Karim Haddad, Samir El Sayah, Jinane Feghali, Stéphanie |
Affiliations: | Department of Mathematics Department of Computer Science Issam Fares Faculty of Technology |
Keywords: | Nonlinear equations Bisection method Newton’s method Chebyshev’s method |
Issue Date: | 2021 | Part of: | Journal of Mathematical and Computational Science | Volume: | 11 | Issue: | 1 | Start page: | 165 | End page: | 172 | Abstract: | © 2021 the author(s). New hybrid iterative methods for solving nonlinear equations are introduced. These methods combine the well-known Newton and Chebyshev’s methods with the always convergent bisection method making them always convergent and faster than the combined methods themselves. Numerical experiments, comparing the new algorithms with others, are performed showing the efficiency of the new proposed methods. |
URI: | https://scholarhub.balamand.edu.lb/handle/uob/4969 | DOI: | 10.28919/jmcs/5090 | Open URL: | Link to full text | Type: | Journal Article |
Appears in Collections: | Department of Telecommunications and Networking Engineering Department of Computer Science Department of Mathematics |
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