Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Springer-Verlag, 2017)
[EN] Many problems related to gas dynamics, heat transfer or chemical reactions are modeled by means of partial differential equations that usually are solved by using approximation techniques. When they are transformed ...
Candelario Villalona, Giro Guillermo; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Elsevier, 2022-02)
[EN] In recent papers, some fractional Newton-type methods have been proposed by using the Riemann-Liouville and Caputo fractional derivatives in their iterative schemes, with order 2 alpha or 1+alpha. In this manuscript, ...
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 ...
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, ...
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 ...