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Listar por palabra clave "Local convergence"

Mostrando ítems 1-14 de 14

A note on "Convergence radius of Osada s method under Hölder continuous condition"

Hueso, J.L.; Martínez Molada, Eulalia; Gupta, D.K.; Cevallos-Alarcon, Fabricio Alfredo (Elsevier, 2018)

[EN] In this paper we revise the proofs of the results obtained in "Convergence radius of Osada's method under Holder continuous condition"[4], because the remainder of the Taylor's expansion used for the obtainment of the ...
A study of the local convergence of a fifth order iterative method

Singh, Sukjith; Martínez Molada, Eulalia; Maroju, P.; Behl, Ramandeep (Springer-Verlag, 2020-06)

[EN] We present a local convergence study of a fifth order iterative method to approximate a locally unique root of nonlinear equations. The analysis is discussed under the assumption that first order Frechet derivative ...
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 ...
An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown

Alarcon, Diego; Hueso, Jose L.; Martínez Molada, Eulalia (Taylor & Francis, 2020-02-01)

[EN] In this paper we propose an alternative for the study of local convergence radius and the uniqueness radius for some third-order methods for multiple roots whose multiplicity is known. The main goal is to provide an ...
Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces

Singh, Sukhjit; Gupta, D.K.; Singh, R.; Singh, M.; Martínez Molada, Eulalia (World Scientific, 2018)

[EN] The convergence analysis both local under weaker Argyros-type conditions and semilocal under. omega-condition is established using first order Frechet derivative for an iteration of fifth order in Banach spaces. This ...
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces

Martínez Molada, Eulalia; Singh, S.; Hueso Pagoaga, José Luís; Gupta, D.K. (Elsevier, 2016-04-30)

In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains. Specifically a local ...
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 ...
Local convergence of a family of iterative methods for Hammerstein equations

Martínez Molada, Eulalia; Singh, Sukhjit; Hueso Pagoaga, José Luís; Gupta, D.K. (Springer-Verlag, 2016)

[EN] In this paper we give a local convergence result for a uniparametric family of iterative methods for nonlinear equations in Banach spaces. We assume boundedness conditions involving only the first Fr,chet derivative, ...
Local convergence of a parameter based iteration with Holder continuous derivative in Banach spaces

Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Springer-Verlag, 2017)

[EN] The local convergence analysis of a parameter based iteration with Hölder continuous first derivative is studied for finding solutions of nonlinear equations in Banach spaces. It generalizes the local convergence ...
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 ...
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 ...
On the local convergence of a fifth-order iterative method in Banach spaces

Cordero Barbero, Alicia; Ezquerro, J. A.; Hernández Verón, M. A.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-01-15)

[EN] A new predictor–corrector iterative procedure, that combines Newton’s method as predictor scheme and a fifth-order iterative method as a corrector, is designed for solving nonlinear equations in Banach spaces. We ...
On the local convergence study for an efficient k-step iterative method

Amat, Sergio; Argyros, Ioannis K.; Busquier Saez, Sonia; Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia (Elsevier, 2018-12-01)

[EN] This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. The methods have high order of convergence but only using first order ...
Semilocal and local convergence of a fifth order iteration with Frechet derivative satisfying Holder condition

Singh, S.; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Elsevier, 2016-03-05)

The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition. The Holder condition ...