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Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?

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Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?

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Cordero Barbero, A.; Soleymani, F.; Torregrosa Sánchez, JR. (2014). Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?. Applied Mathematics and Computation. 244:398-412. doi:10.1016/j.amc.2014.07.010

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Title: Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
Author: Cordero Barbero, Alicia Soleymani, Fazlollah Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
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 ...[+]
Subjects: Nonlinear system of equations , Iterative method , Basin of attraction , Dynamical plane , Stability
Copyrigths: Cerrado
Source:
Applied Mathematics and Computation. (issn: 0096-3003 ) (eissn: 1873-5649 )
DOI: 10.1016/j.amc.2014.07.010
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.amc.2014.07.010
Project ID:
Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02
Universitat Politècnica de València SP20120474
Thanks:
This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and Universitat Politecnica de Valencia SP20120474.
Type: Artículo

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