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Listar por palabra clave "Nonlinear system of equations"

Mostrando ítems 1-9 de 9

CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior

Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2018)

[EN] A family of fourth-order iterative methods without memory, for solving nonlinear systems, and its seventh-order extension, are analyzed. By using complex dynamics tools, their stability and reliability are studied by ...
Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?

Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-10-01)

This paper deals with the real dynamical analysis of iterative methods for solving nonlinear systems on vectorial quadratic polynomials. We use the extended concept of critical point and propose an easy test to determine ...
Multidimensional stability analysis of a family of bi-parametric iterative methods

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

[EN] In this paper, we present a multidimensional real dynamical study of the Ostrowsky-Chun family of iterative methods to solve systems of nonlinear equations. This family was defined initially for solving scalar equations ...
Numerical solution of turbulence problems by solving Burgers' equation

Cordero Barbero, Alicia; Franqués García, Antonio María; Torregrosa Sánchez, Juan Ramón (MDPI, 2015-06)

In this work we generate the numerical solutions of Burgers' equation by applying the Crank-Nicholson method and different schemes for solving nonlinear systems, instead of using Hopf-Cole transformation to reduce Burgers' ...
Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018-08-01)

[EN] In this paper, a new technique to construct a family of divided differences for designing derivative-free iterative methods for solving nonlinear systems is proposed. By using these divided differences any kind of ...
Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] In this paper, a parametric family of seventh-order of iterative method to solve systems of nonlinear equations is presented. Its local convergence is studied and quadratic polynomials are used to investigate its ...
Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences

Amiri, A. R.; Cordero Barbero, Alicia; Darvishi, M. T.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-05)

[EN] The dynamical properties of a family of forward, central divided differences and Richardson extrapolation technique are studied. Applying these tools, an iterative method for solving nonlinear systems can be transformed ...
Stability analysis of Jacobian-free Newton's iterative method

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-11-06)

[EN] It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial ...
Weighted Gaussian correction of Newton-type methods for solving nonlinear systems

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M,P. (Société des Sciences Mathématiques de Roumanie, 2016)

A new technique to design predictor-corrector methods for solving non- linear equations or nonlinear systems is presented. With Newton's scheme as a predictor and any Gaussian quadrature as a corrector we construct, ...