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Listar por palabra clave "Optimal order"

Mostrando ítems 1-8 de 8

An efficient two-parametric family with memory for nonlinear equations

Cordero Barbero, Alicia; Lotfi, T.; Bakhtiari, P.; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2015-02)

A new two-parametric family of derivative-free iterative methods for solving nonlinear equations is presented. First, a new biparametric family without memory of optimal order four is proposed. The improvement of the ...
Low-complexity root-finding iteration functions with no derivatives of any order of convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02)

In this paper, a procedure to design Steffensen-type methods of different orders for solving nonlinear equations is suggested. By using a particular divided difference of first order we can transform many iterative methods ...
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure

Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; VASSILEVA, MARÍA PENKOVA (Elsevier, 2015-10-01)

[EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, ...
On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations

Lotfi, Taher; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Abadi, Morteza Amir; Zadeh, Maryam Mohammadi (Hindawi Publishing Corporation, 2014)

The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009). Accordingly, it requires four functional evaluations per iteration with ...
One-point Newton-type iterative methods: A unified point of view

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02)

In this paper, a unified point of view that includes the most of one-point Newton-type iterative methods for solving nonlinear equations is introduced. A simple idea to design iterative methods with quadratic or cubic ...
Three-step iterative methods with optimal eighth-order convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Elsevier, 2011-03-15)

In this paper, based on Ostrowski's method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, each iteration of these methods requires three evaluations of the ...
Two optimal general classes of iterative methods with eighth-order

Cordero Barbero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2014-12)

Two new three-step classes of optimal iterative methods to approximate simple roots of nonlinear equations, satisfying the Kung-Traub's conjecture, are designed. The development of the methods and their convergence analysis ...
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, ...