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Browsing by Author "Chicharro López, Francisco Israel"

Now showing items 1-20 of 41

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 ...
ANÁLISIS DINÁMICO Y APLICACIONES DE MÉTODOS ITERATIVOS DE RESOLUCIÓN ECUACIONES NO LINEALES

Chicharro López, Francisco Israel (Universitat Politècnica de València, 2017-06-26)

Many problems in science, engineering or economy involve the search of the solution of an equation. Since ancient times, the modelling of nature problems has attracted a lot of interest, in order to predict the behaviour ...
Anomalies in the convergence of Traub-type methods with memory

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-01-12)

[EN] The stability analysis of a new family of iterative methods with memory is introduced. This family, designed from Traub's method, allows to add memory through the introduction of an accelerating parameter. Hence, the ...
Bidirectional WDM-OOFDM access network based on a sliceable optical transceiver with colorless ONUs

Sekkiou, Imene; Chicharro López, Francisco Israel; Ortega Tamarit, Beatriz; Mora Almerich, José (Elsevier, 2018)

[EN] A WDM OOFDM access network using a centralized optical transceiver based on a single optical broadband sliced source at the Central Office is presented as a low cost solution. Such network offers downlink and uplink ...
Broadband optical sources for low-cost WDM-MB-OFDM networks

Chicharro López, Francisco Israel; Ortega Tamarit, Beatriz; Diego Antón, María de; Mora Almerich, José (Institute of Electrical and Electronics Engineers, 2017)

[EN] Multiband OFDM signal transmission through a 10 km optical fiber link is experimentally demonstrated by using a broadband source. We propose the use of optical broadband sources in multiband OFDM signal transmitters ...
CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Martínez, Tobías H.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2020-03)

[EN] The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative ...
Complex dynamics of derivative-free methods for nonlinear equations

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Gutiérrez, José M.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-02-15)

The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...
Derivative-free high-order methods applied to preliminary orbit determination

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-04)

From position and velocity coordinates for several given instants, it is possible to determine the orbital elements of the preliminary orbit, taking only into account mutual gravitational attraction forces between the Earth ...
Design and Complex Dynamics of Potra-Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications

Chand, Prem B.; Chicharro, Francisco I.; Garrido Saez, Neus; Jain, Pankaj (MDPI AG, 2019-10)

[EN] In this paper, using the idea of weight functions on the Potra¿Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods ...
Design and convergence of new iterative methods with memory for solving nonlinear problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, N.; Torregrosa Sánchez, Juan Ramón (R. Company, J. C. Cortés, L. Jódar and E. López-Navarro, 2019-07-12)
Different approximations of the parameter for low-order iterative methods with memory

Chicharro, Francisco I.; Garrido, Neus; Sarría, Íñigo; Orcos, Lara (Servicio de Publicaciones de la Universidad de Oviedo, 2021-06-18)

[EN] A technique for generating iterative methods for solving nonlinear equations with memory can be constructed from a method without memory that includes a parameter, provided the parameter is present in the error ...
Dimensión fractal de métodos iterativos de resolución de ecuaciones no lineales. Aplicación a la determinaón de órbitas de satélites artificiales

Chicharro López, Francisco Israel (Universitat Politècnica de València, 2017-02-20)

[ES] En el presente proyecto vamos a tratar de encontrar el punto donde convergen los temas presentados previamente. En el Capítulo 2 describiremos algunos métodos iterativos, libres de derivadas, en el espacio de los ...
Diseño, análisis y estabilidad de métodos iterativos con memoria para la resolución de ecuaciones y sistemas no lineales

Garrido Saez, Neus (Universitat Politècnica de València, 2020-09-02)

[ES] El diseño de métodos iterativos para resolver ecuaciones y sistemas de ecuaciones no lineales es una tarea importante y desafiante en el campo del Análisis Numérico. La no linealidad es una característica de muchos ...
Drawing dynamical and parameters planes of iterative families and methods

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Hindawi Publishing Corporation, 2013)

The complex dynamical analysis of the parametric fourth-order Kim s iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. The ...
Dynamical analysis of a family of Traub-type iterative methods for solving nonlinear problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (Universitat Politècnica de València, 2022-07-15)
Dynamical analysis of a new sixth-order parametric family for solving nonlinear systems of equations

Moscoso-Martínez, Marlon; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Chicharro, Francisco I. (Universitat Politècnica de València, 2022-07-15)
Dynamics and fractal dimension of Steffensen-type methods

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI, 2015-06)

In this paper, the dynamical behavior of different optimal iterative schemes for solving nonlinear equations with increasing order, is studied. The tendency of the complexity of the Julia set is analyzed and referred to ...
Dynamics of iterative families with memory based on weight functions procedure

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-07)

[EN] In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth -order schemes without memory ...
Family of fourth-order optimal classes for solving multiple-root nonlinear equations

Chicharro, Francisco I.; Garrido-Saez, Neus; Jerezano, Julissa H.; Pérez-Palau, Daniel (Springer-Verlag, 2023-04)

[EN] We present a new iterative procedure for solving nonlinear equations with multiple roots with high efficiency. Starting from the arithmetic mean of Newton's and Chebysev's methods, we generate a two-step scheme using ...
Generalized high-order classes for solving nonlinear systems and their applications

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-12)

[EN] A generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to ...