2026-09-15T18:19:49Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1563112026-01-13T13:28:46Zcom_10366_4137com_10366_4055com_10366_3946com_10366_3823col_10366_4138

Sonia, Busquier José M., Gutiérrez Ramos Calle, Higinio 2024-03-05T11:58:06Z 2024-03-05T11:58:06Z 2022 2289-750X http://hdl.handle.net/10366/156311 10.47836/mjms.16.4.01 1823-8343 [EN]In this paper, a generalization of a classical result by Gander concerning the characterization of third order methods, is addressed. New and classical methods are included in the family. In particular, a new construction of the well-known Chebyshev method is presented. Other methods, based on exponential and logarithmic fittings respectively, are rediscovered too. The proposed methods have a local cubic order of convergence and can be competitive with other third-order methods in the literature, as can be seen from the numerical examples presented. eng Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Nonlinear equations Root-finding method Exponential fitting approach Logarithmic fitting approach Nonlinear equations 12 Matemáticas Third Order Root-Finding Methods based on a Generalization of Gander's Result. info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://doi.org/10.47836/mjms.16.4.01 Malaysian Journal of Mathematical Sciences 16 4 659 671