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Listar por palabra clave "Convergence order"

Mostrando ítems 1-20 de 23

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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 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 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 ...
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 infinite family of one step iterators for solving non linear equation to increase the order of convergence and a new algoritm of global convergence

Moreno Flores, Joaquín (Elsevier, 2013-11)

In this paper we present an infinite family of one-step iterative formulas for solving nonlinear equations (Present Method One), from now on PMI, that can be expressed as xn+1=Fm(xn), with 1<= m<= infinite, integer, Fm ...
Convergence and dynamical study of a new sixth order convergence iterative scheme for solving nonlinear systems

Capdevila, Raudys R.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2023-03-30)

[EN] A novel family of iterative schemes to estimate the solutions of nonlinear systems is presented. It is based on the Ermakov-Kalitkin procedure, which widens the set of converging initial estimations. This class is ...
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems

Cordero Barbero, Alicia; Maimo, Javier G.; Rodríguez-Cabral, Antmel; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2023-03)

[EN] In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed ...
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 iterative methods for nonlinear system

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles (Elsevier, 2015-05-15)

[EN] In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain ...
Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations

Cordero Barbero, Alicia; Ledesma, Arleen; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2024-02-28)

[EN] In this paper, a new fourth-order family of iterative schemes for solving nonlinear equations has been proposed. This class is parameter-dependent and its numerical performance depends on the value of this free ...
Determination of multiple roots of nonlinear equations and applications

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel Ferragud, Carles (Springer Verlag (Germany), 2015-03)

[EN] In this work we focus on the problem of approximating multiple roots of nonlinear equations. Multiple roots appear in some applications such as the compression of band-limited signals and the multipactor effect in ...
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 ...
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device

Villalba, Eva G.; Hueso, José L.; Martínez Molada, Eulalia (Taylor & Francis, 2023-09-02)

[EN] It is well known that the Steffensen-type methods approximate the derivative appearing in Newton's scheme by means of the first-order divided difference operator. The generalized multistep Steffensen iterative method ...
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 ...
Increasing the convergence order of an iterative method for nonlinear systems

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2012-12)

In this work we introduce a technique for solving nonlinear systems that improves the order of convergence of any given iterative method which uses the Newton iteration as a predictor. The main idea is to compose a given ...
Increasing the order of convergence of iterative schemes for solving nonlinear systems

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Elsevier, 2013-11)

[EN] A set of multistep iterative methods with increasing order of convergence is presented, for solving systems of nonlinear equations. One of the main advantages of these schemes is to achieve high order of convergence ...
Memory in a new variant of King's family for solving nonlinear systems

Kansal, Munish; Cordero Barbero, Alicia; Bhalla, Sonia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2020-08)

[EN] In the recent literature, very few high-order Jacobian-free methods with memory for solving nonlinear systems appear. In this paper, we introduce a new variant of King's family with order four to solve nonlinear systems ...
New family of iterative methods with high order of convergence for solving nonlinear systems

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Springer Verlag, 2013)

In this paper we present and analyze a set of predictor-corrector iterative methods with increasing order of convergence, for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with few ...
On the Chandrasekhar integral equation

Hernández-Verón, Miguel A.; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2021-11)

[EN] This study is devoted to solve the Chandrasekhar integral equation that it is used for modeling problems in theory of radiative transfer in a plane-parallel atmosphere, and others research areas like the kinetic theory ...
Pseudocomposition: a technique to design predictor-corrector methods for systems of nonlinear equations

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (Elsevier, 2012-08-01)

A new technique for designing iterative methods for solving nonlinear systems is presented. This procedure, called pseudocomposition, uses a known method as a predictor and the Gaussian quadrature as a corrector. The order ...