Buscar en RiuNet

Listar

Todo RiuNet

Mi cuenta

Acceder

Ayuda RiuNet

Admin. UPV

Listar por palabra clave "Nonlinear equations"

Mostrando ítems 41-60 de 95

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 ...
Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions

Arora, Himani; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Behl, Ramandeep; Alharbi, Sattam (MDPI AG, 2022-05)

[EN] The construction of derivative-free iterative methods for approximating multiple roots of a nonlinear equation is a relatively new line of research. This paper presents a novel family of one-parameter second-order ...
Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions

Behl, Ramandeep; Bhalla, Sonia; Martínez Molada, Eulalia; Alsulami, Majed Aali (MDPI AG, 2021-06)

[EN] There is no doubt that the fourth-order King's family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, ...
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 ...
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 ...
Diferencias finitas para problemas de valor inicial no lineal

Villavicencio Mera, Julio Cesar (Universitat Politècnica de València, 2022-01-14)

[ES] En este trabajo se hace un estudio sobre como resolver los muy conocidos problemas de valor inicial en su caso no lineal, mediante el método de diferencias finitas y métodos iterativos que resuelvan el sistema no ...
Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method

Cevallos, Fabricio; Hueso, José L.; Martínez Molada, Eulalia; Howk, Cory L. (John Wiley & Sons, 2020-09-30)

[EN] In this paper, we consider the problem of solving initial value problems and boundary value problems through the point of view of its continuous form. It is well known that in most cases these types of problems are ...
Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots

Vázquez-Lozano, Juan Enrique; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] In this paper, the performance of a parametric family including Newton¿s and Traub¿s schemes on multiple roots is analyzed. The local order of convergence on nonlinear equations with multiple roots is studied as well ...
Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods

Cordero Barbero, Alicia; Leonardo Sepúlveda, Miguel A.; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2022-10)

[EN] In this manuscript, we propose a parametric family of iterative methods of fourth-order convergence, and the stability of the class is studied through the use of tools of complex dynamics. We obtain the fixed and ...
Dynamics of a family of Chebyshev-Halley type methods

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura (Elsevier, 2013-04-15)

In this paper, the dynamics of the Chebyshev-Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This set has interesting ...
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 ...
El caos en los métodos iterativos de resolución de ecuaciones no lineales

Moscoso Martínez, Marlon Ernesto (Universitat Politècnica de València, 2020-09-02)

[ES] En el presente trabajo se estudia la dinámica compleja de una familia de métodos con esquemas iterativos multipaso, que es una generalización de un método propuesto por Artidiello y col., sobre polinomios cuadráticos. ...
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 ...
Estabilidad de los métodos iterativos para la aproximación de raíces múltiples de ecuaciones no lineales

Mora Jiménez, María (Universitat Politècnica de València, 2019-07-30)

[ES] Existen problemas no lineales con soluciones de multiplicidad superior a 1. Ello nos obliga a utilizar técnicas iterativas adaptadas a este tipo de problemas y a diseñar nuevas técnica que mejoren las ya existentes, ...
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 ...
Generating root-finder iterative methods of second order: convergence and stability

Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-05-06)

[EN] In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, ...
Inverse functions of polynomials and its applications to initialize the search of solutions of polynomials and polynomial systems

Moreno Flores, Joaquín; Saiz Martinez, Andrés (Springer Verlag (Germany), 2011)

In this paper we present a new algorithm for solving polynomial equations based on the Taylor series of the inverse function of a polynomial, fP(y). The foundations of the computing of such series have been previously developed ...
Iterative schemes for finding all roots simultaneously of nonlinear equations

Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (Elsevier, 2022-12)

[EN] In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this ...
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 ...
Memorizing Schroder's Method as an Efficient Strategy for Estimating Roots of Unknown Multiplicity

Cordero Barbero, Alicia; Neta, Beny; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2021-10-13)

[EN] In this paper, we propose, to the best of our knowledge, the first iterative scheme with memory for finding roots whose multiplicity is unknown existing in the literature. It improves the efficiency of a similar ...