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Listar por palabra clave "Optimal iterative methods"

Mostrando ítems 1-10 de 10

A Higher Order Chebyshev-Halley-Type Family of Iterative Methods for Multiple Roots

Behl, Ramandeep; Martínez Molada, Eulalia; Cevallos-Alarcon, Fabricio Alfredo; Alarcon-Correa, Diego (MDPI AG, 2019-04)

[EN] The aim of this paper is to introduce new high order iterative methods for multiple roots of the nonlinear scalar equation; this is a demanding task in the area of computational mathematics and numerical analysis. ...
A stable class of modified Newton-like methods for multiple roots and their dynamics

Kansal, Munish; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Bhalla, Sonia (Walter de Gruyter GmbH, 2020-10)

[EN] There have appeared in the literature a lot of optimal eighth-order iterative methods for approximating simple zeros of nonlinear functions. Although, the similar ideas can be extended for the case of multiple zeros ...
A stable family with high order of convergence for solving nonlinear equations

Cordero Barbero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-03-01)

[EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory, with order of convergence five or six, which are not optimal in the sense of Kung and Traub’s conjecture. Therefore, we ...
Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results

Moscoso-Martínez, Marlon; Chicharro, Francisco I.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Ureña-Callay, Gabriela (MDPI AG, 2024-07)

[EN] In this manuscript, we introduce a novel parametric family of multistep iterative methods designed to solve nonlinear equations. This family is derived from a damped Newton's scheme but includes an additional Newton ...
An efficient family of optimal eighth-order multiple root finders

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2018)

[EN] Finding a repeated zero for a nonlinear equation f(x) = 0, f : I subset of R -> R has always been of much interest and attention due to its wide applications in many fields of science and engineering. Modified Newton's ...
An eighth-order family of optimal multiple root finders and its dynamics

Behl, Ramandeep; Cordero Barbero, Alicia; Motsa, Sandile S.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2018)

[EN] There is a very small number of higher-order iteration functions for multiple zeros whose order of convergence is greater than four. Some scholars have tried to propose optimal eighth-order methods for multiple zeros. ...
Approximating Multiple Roots of Applied Mathematical Problems Using Iterative Techniques

Behl, Ramandeep; Arora, Himani; Martínez Molada, Eulalia; Singh, Tajinder (MDPI AG, 2023-03)

[EN] In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that the ...
Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions

Behl, Ramandeep; Bhalla, Sonia; Martínez Molada, Eulalia; Alsulami, Majed Aali (MDPI AG, 2021-06)

[EN] There is no doubt that the fourth-order King's family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, ...
Métodos iterativos para la resolución de problemas aplicados transformados a sistemas no lineales

Cevallos Alarcón, Fabricio Alfredo (Universitat Politècnica de València, 2023-05-22)

[ES] La resolución de ecuaciones y sistemas no lineales es un tema de gran interés teórico-práctico, pues muchos modelos matemáticos de la ciencia o de la industria se expresan mediante sistemas no lineales o ecuaciones ...
Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics

Zafar, Fiza; Cordero Barbero, Alicia; Sultana, Sana; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] In this paper, we propose a family of iterative methods for finding multiple roots, with known multiplicity, by means of the introduction of four univariate weight functions. With the help of these weight functions, ...