Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Haghani, F. Khaksar(Elsevier, 2017)
[EN] We present a parametric family of iterative methods with memory for solving of nonlinear problems including
Kurchatov¿s scheme, preserving its second-order of convergence. By using the tools of multidimensional real ...
Company Rossi, Rafael; Egorova, Vera; Jódar Sánchez, Lucas Antonio; Soleymani, Fazlollah(Vilnius Gediminas Technical University, 2018)
[EN] In this work, we apply the local Wendland radial basis function (RBF) for solving the time-dependent multi dimensional option pricing nonlinear PDEs.
Firstly, cross derivative terms of the PDE are removed with a ...
Company Rossi, Rafael; Egorova, Vera; Jódar Sánchez, Lucas Antonio; Soleymani, Fazlollah(Elsevier, 2016-10)
The challenge of removing the mixed derivative terms of a second order multidimensional
partial differential equation is addressed in this paper. The proposed
method, which is based on proper algebraic factorization of ...
Company Rossi, Rafael; Egorova, Vera N.; Jódar Sánchez, Lucas Antonio; Soleymani, Fazlollah(John Wiley & Sons, 2019-05)
[EN] We propose a local mesh-free method for the Bates¿Scott
option pricing model, a 2D partial integro-differential
equation (PIDE) arising in computational finance. A Wendland
radial basis function (RBF) approach is used ...
The dynamical behavior of different Steffensen-type methods is analyzed. We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type ...
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 ...
Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Ullah, M. Zaka(Elsevier, 2017)
[EN] A general family of iterative methods including a free parameter is derived and proved to be convergent for computing matrix sign function under some restrictions on the parameter. Several special cases including ...
Babajee, Diyashvir K. R.; Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón(Hindawi Publishing Corporation, 2012)
This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation ...
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 ...
This note discusses how to extend and use the well-known method of Householder (1964) [6] for finding weighted Moore-Penrose inverse. The discussions cover both theoretical and numerical aspects. An approach for accelerating ...