3 citations · 3 across the 6 of their papers we have counts for
7 papers
A higher order family of iterative methods for approximating inverse and generalized inverse matrices
Alicia Cordero, Bushra Rani, Juan R. Torregrosa
The development of efficient iterative schemes for approximating the inverse and generalized inverse matrices is important in my research fields. To this end, a family of fourth-or…
Improving the efficiency of a Hyperpower method for approximating inverse matrices
Alicia Cordero, Juan R. Torregrosa
In this manuscript, scalar norm-type accelerators are used for first time in order to increase the order of convergence of known iterative methods for solving the matrix equation $…
A plausible Parametrization of Modal Basis for Dynamical Systems Analysis
Sebastian Rodriguez, Sergio Torregrosa, Alicia Cordero +3
In the field of solid dynamics, knowing the corresponding modal basis of the system is capital, in order to improve design with respect to a desired dynamical behavior, such as avo…
Introducing memory to a family of multi-step multidimensional iterative methods with weight function
Alicia Cordero, Eva G. Villalba, Juan R. Torregrosa +1
In this paper, we construct a derivative-free multi-step iterative scheme based on Steffensen's method. To avoid excessively increasing the number of functional evaluations and, at…
A fractional Traub method with th-order of convergence and its stability
Giro Candelario, Alicia Cordero, Juan R. Torregrosa
Some fractional Newton methods have been proposed in order to find roots of nonlinear equations using fractional derivatives. In this paper we introduce a fractional Newton method…
Drawing dynamical and parameter planes of iterative families and methods
Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa
In this paper the complex dynamical analysis of the parametric fourth-order Kim's iterative family is made on quadratic polynomials, showing the Matlab codes generated to draw the…
Dynamics of a family of Chebyshev-Halley-type methods
A. Cordero, J. R. Torregrosa, P. Vindel
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 t…