Cordero Barbero, A.; Soleymani, F.; Torregrosa Sánchez, JR.; Haghani, FK. (2017). A family of Kurchatov-type methods and its stability. Applied Mathematics and Computation. 294:264-279. https://doi.org/10.1016/j.amc.2016.09.021
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/103764
[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 ...[+]
[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 dynamics, the stability
of members of this family is analyzed on low-degree polynomials, showing some elements of this class more stable behavior than the
original Kurchatov¿s method. The iteration is extended for multi-dimensional case. Computational efficiencies of proposed technique
is discussed and compared with the existing methods. A couple of numerical examples are considered to test the performance of
the new family of iterations.[-]
info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
Thanks:
The authors thank to the anonymous referees for their valuable comments and for the suggestions that have improved the final version of the paper. This research was partially supported by Ministerio de Economia y Competitividad ...[+]
The authors thank to the anonymous referees for their valuable comments and for the suggestions that have improved the final version of the paper. This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P and Generalitat Valenciana PROMETEO/2016/089.[-]