A family of methods for solving nonlinear equations

Djordje Herceg and Dragoslav Herceg

Applied Mathematics and Computation, 2015, vol. 259, issue C, 882-895

Abstract: 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.

Keywords: Nonlinear equation; Newton’s method; Fourth order method; Iterative methods (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:882-895

DOI: 10.1016/j.amc.2015.03.028

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