Buscar en RiuNet

Listar

Todo RiuNet

Mi cuenta

Acceder

Ayuda RiuNet

Admin. UPV

Listar por palabra clave "Efficiency index"

Mostrando ítems 1-20 de 40

Página siguiente

A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem

Andreu Estellés, Carlos; Cambil Teba, Noelia; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-04-01)

A derivative-free optimal eighth-order family of iterative methods for solving nonlinear equations is constructed using weight functions approach with divided first order differences. Its performance, along with several ...
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 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 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 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 higher-order optimal derivative free scheme for multiple roots

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2022-04)

[EN] In this paper, we presented a novel and efficient fourth order derivative free optimal family of iterative methods for approximating the multiple roots of nonlinear equations. Initially the convergence analysis is ...
A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-11)

A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung-Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods ...
A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

Cordero Barbero, Alicia; Kansal, Munish; Kanwar, Vinay; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2016)

[EN] In this paper, we present a uniparametric family of modified Chebyshev-Halley type methods with optimal eighth-order of convergence. In terms of computational cost, each member of the family requires only four functional ...
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 ...
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. ...
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. ...
Approximation of artificial satellites' preliminary orbits: the efficiency challenge

Arroyo Martínez, Víctor; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2011-10)

In this paper the problem of the determination of the preliminary orbit of a celestial body is studied. We compare the results obtained by the classical Gauss's method with those obtained by some higher-order iterative ...
Artificial satellites preliminary orbit determination by the modified high-order Gauss method

Arroyo Martínez, Víctor; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Taylor & Francis Ltd, 2012)

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to ...
Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles (Elsevier, 2015-02)

[EN] In this work we present a new family of iterative methods for solving nonlinear systems that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case. We generalize this family by performing ...
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 multidimensional extension of iterative methods for solving nonlinear problems

Artidiello, S.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M. P. (Elsevier, 2017)

[EN] In this paper, a three-step iterative method with sixth-order local convergence for approximating the solution of a nonlinear system is presented. From Ostrowski¿s scheme adding one step of Newton with ¿frozen¿ ...
Efficient high-order methods based on golden ratio for nonlinear system

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2011-01-01)

We derive new iterative methods with order of convergence four or higher, for solving nonlinear systems, by composing iteratively golden ratio methods with a modified Newton's method. We use different efficiency indices ...
Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes

Cordero Barbero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (Springer-Verlag, 2024)

[EN] In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. ...
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-04)

In this work we show a general procedure to obtain optimal derivative free iterative methods for nonlinear equations f (x) = 0, applying polynomial interpolation to a generic optimal derivative free iterative method of ...
Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p>5

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Sanabria-Codesal, Esther; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] It is known that the concept of optimality is not defined for multidimensional iterative methods for solving nonlinear systems of equations. However, usually optimal fourth order schemes (extended to the case of several ...