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 ...
[EN] In the recent literature, some fractional one-point Newton-type methods have been
proposed in order to find roots of nonlinear equations using fractional derivatives. In this paper,
we introduce a new fractional ...
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 ...
A new set of predictor-corrector iterative methods with increasing order of convergence is proposed in order to estimate the solution of nonlinear systems. Our aim is to achieve high order of convergence with few Jacobian ...
Babajee, Diyashvir K. R.; Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón(Springer Verlag, 2014-01)
This paper presents an improvement of the sixth-order method of Chun and Neta as a class of three-step iterations with optimal efficiency index, in the sense of Kung-Traub conjecture. Each member of the presented class ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María(Hindawi Publishing Corporation, 2014)
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical ...
Cordero Barbero, Alicia; Maimó, Javier G.; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(MDPI AG, 2021-09)
[EN] In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun's iterative method. This is an iterative method of fourth order, ...
In this paper, by using a generalization of Ostrowski' and Chun's methods two bi-parametric families of predictor-corrector iterative schemes, with order of convergence four for solving system of nonlinear equations, are ...
Cordero Barbero, Alicia; García-Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria Penkova(MDPI AG, 2019-04-25)
[EN] In this manuscript, we design two classes of parametric iterative schemes to solve nonlinear problems that do not need to evaluate Jacobian matrices and need to solve three linear systems per iteration with the same ...
Cordero Barbero, Alicia; García-Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Elsevier, 2017)
[EN] In this paper we present a dynamical study of the Ostrowski-Chun family of iterative methods on quadratic polynomials. We will use dynamical tools such as the analysis of fixed and critical points, and the calculation ...
Acosta-Piantini, Elsa; Villaran, M.; Lombraña, J. Ignacio(Editorial Universitat Politècnica de València, 2018-09-07)
[EN] The main objective of this work is to encapsulate and dry the bacterium probiotic Lactobacillus casei applying three different drying techniques (lyophilization, fluidized bed and flash freeze drying) as well as to ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P.(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2015-09-02)
In this paper we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the ...