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Listar por palabra clave "Steffensen's method"

Mostrando ítems 1-7 de 7

A class of Steffensen type methods with optimal order of convergente

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2011-06-01)

In this paper, a family of Steffensen type methods of fourth-order convergence for solving nonlinear smooth equations is suggested. In the proposed methods, a linear combination of divided differences is used to get a ...
An algorithm derivative-free to improve the steffensen-type methods

Hernández-Verón, Miguel A.; Yadav, Sonia; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (MDPI AG, 2022-01)

[EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
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 Iterative Schemes for Multiple Roots of Nonlinear Functions

Arora, Himani; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Behl, Ramandeep; Alharbi, Sattam (MDPI AG, 2022-05)

[EN] The construction of derivative-free iterative methods for approximating multiple roots of a nonlinear equation is a relatively new line of research. This paper presents a novel family of one-parameter second-order ...
Improving the accessibility of Steffensen s method by decomposition of operators

Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia (Elsevier, 2018)

[EN] Solving equations of the form H(x) = 0 is usually done by applying iterative methods. The main interest of this paper is to improve the domain of starting points for Steffensen's method. In general, the accessibility ...
Métodos iterativos libres de derivadas para la resolución de ecuaciones y sistemas de ecuaciones no lineales.

García Villalba, Eva (Universitat Politècnica de València, 2024-06-03)

[ES] Dentro del campo del Análisis Numérico, la resolución de ecuaciones y sistemas de ecuaciones no lineales es uno de los aspectos más relevantes y estudiados. Esto se debe a que gran cantidad de problemas de Matemática ...
Steffensen type methods for solving nonlinear equations

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2012-06)

[EN] In the present paper, by approximating the derivatives in the well known fourth-order Ostrowski's method and in a sixth-order improved Ostrowski's method by central-difference quotients, we obtain new modifications ...