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Listar por palabra clave "Iterative methods"

Mostrando ítems 1-20 de 98

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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 ...
A convex combination approach for mean-based variants of Newton's method

Cordero Barbero, Alicia; Franceschi, Jonathan; Torregrosa Sánchez, Juan Ramón; Zagati, Anna C. (MDPI AG, 2019-09-02)

[EN] Several authors have designed variants of Newton¿s method for solving nonlinear equations by using different means. This technique involves a symmetry in the corresponding fixed-point operator. In this paper, some ...
A family of Kurchatov-type methods and its stability

Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Haghani, F. Khaksar (Elsevier, 2017)

[EN] We present a parametric family of iterative methods with memory for solving of nonlinear problems including Kurchatov¿s scheme, preserving its second-order of convergence. By using the tools of multidimensional real ...
A family of modified Ostrowski's method with optimal eighth order of convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María Penkova (Elsevier, 2011-12)

In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function ...
A family of parametric schemes of arbitrary even order for solving nonlinear models

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P. (Springer-Verlag, 2017)

[EN] Many problems related to gas dynamics, heat transfer or chemical reactions are modeled by means of partial differential equations that usually are solved by using approximation techniques. When they are transformed ...
A family of seventh-order schemes for solving nonlinear systems

Abad Rodríguez, Manuel Francisco; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Société des Sciences Mathématiques de Roumanie, 2014)

[EN] This paper focuses on solving nonlinear systems numerically. We propose an efficient family of three-step iterative schemes with seventh-order of convergence. The proposed methods are obtained by using the weight ...
A highly efficient class of optimal fourth-order methods for solving nonlinear systems

Cordero Barbero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (Springer-Verlag, 2024-04)

[EN] In this manuscript, we present a new class of highly efficient two-parameter optimal iterative methods for solving nonlinear systems that generalizes Ostrowski's method, King's Family, Chun's method, and KLAM Family ...
A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations

Behl, Ramandeep; Cordero Barbero, Alicia; Motsa, Sandile S.; Torregrosa Sánchez, Juan Ramón (2017)

[EN] In this manuscript, we propose a new highly efficient and optimal scheme of order sixteen for obtaining simple roots of nonlinear equations. The derivation of this scheme is based on the rational approximation approach. ...
A new efficient parametric family of iterative methods for solving nonlinear systems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (Taylor & Francis, 2019-10-03)

[EN] A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ...
A new family of iterative methods widening areas of convergence

Budzko, Dzmitry; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02-01)

[EN] A new parametric class of third-order iterative methods for solving nonlinear equations and systems is presented. These schemes are showed to be more stable than Newton’, Traub’ or Ostrowski’s procedures (in some ...
A new fourth-order family for solving nonlinear problems and its dynamics

Cordero Barbero, Alicia; Feng, Licheng; Magrenan, A.; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2015-03)

In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...
A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Bhalla, Sonia (MDPI AG, 2021-09-01)

[EN] We used a Kurchatov-type accelerator to construct an iterative method with memory for solving nonlinear systems, with sixth-order convergence. It was developed from an initial scheme without memory, with order of ...
A new three-steps iterative method for solving nonlinear systems

Capdevila, Raudys R.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (R. Company, J. C. Cortés, L. Jódar and E.López-Navarro, 2019-07-12)
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 novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

Bahl, Ashu; Cordero Barbero, Alicia; Sharma, Rajni; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-09-15)

[EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. 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 ...
A two-level ILU preconditioner for electromagnetic applications

Cerdán Soriano, Juana Mercedes; Marín Mateos-Aparicio, José; Mas Marí, José (Elsevier, 2017)

[EN] Computational electromagnetics based on the solution of the integral form of Maxwell s equations with boundary element methods require the solution of large and dense linear systems. For large-scale problems the ...
Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior

Cordero Barbero, Alicia; Fardi, M.; Ghasemi, M.; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2014-03)

In this paper, we present a family of optimal, in the sense of Kung-Traub's conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun's fourth-order method. ...
Advanced techniques for solving groundwater and surface water problems in the context of inverse methods and climate change.

Todaro, Valeria (Universitat Politècnica de València, 2021-05-17)

[ES] El tema de la investigación se centra en técnicas avanzadas para manejar problemas de aguas subterráneas y superficiales relacionados con métodos inversos y cambio climático. Los filtros de Kalman, con especial atención ...
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 ...