Grupo de Procesos Iterativos y Ecuaciones no Lineales
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Universidad Internacional de La Rioja
Logroño, EspañaPublications en collaboration avec des chercheurs de Universidad Internacional de La Rioja (15)
2020
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Comparing of the behaviour of iterative methods based on different means
AIP Conference Proceedings
2018
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Extending the domain of starting points for Newton's method under conditions on the second derivative
Journal of Computational and Applied Mathematics, Vol. 340, pp. 1-10
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Starting points for Newton's method under a center Lipschitz condition for the second derivative
Journal of Computational and Applied Mathematics, Vol. 330, Núm. 1, pp. 721-731
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Toward a general theory of point to point iterative processes free of derivatives with quadratic convergence
AIP Conference Proceedings
2017
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A first overview on the real dynamics of Chebyshev's method
Journal of Computational and Applied Mathematics, Vol. 313, Núm. 1, pp. 422-432
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Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains
Journal of Mathematical Chemistry, Vol. 55, Núm. 7, pp. 1392-1406
2016
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Complexity of an homotopy method at the neighbourhood of a zero
Advances in Iterative Methods for Nonlinear Equations (Springer), pp. 147-171
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Measures of the basins of attracting n-cycles for the relaxed Newton’s method
Advances in Iterative Methods for Nonlinear Equations (Springer), pp. 211-245
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Stability analysis of a parametric family of iterative methods for solving nonlinear models
Applied Mathematics and Computation, Vol. 285, pp. 26-40
2015
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A complex dynamical approach of Chebyshev’s method
SeMA Journal, Vol. 71, Núm. 1, pp. 57-68
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A complex dynamicla approach of Chebyshwv's method
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, Vol. 71, Núm. 1, pp. 57-68
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Enlarging The convergence domain of secant-like methods for equations
Taiwanese Journal of Mathematics, Vol. 19, Núm. 2, pp. 629-652
2014
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On the behavior of chebyshev's method applied to cubic polynomials
Civil-Comp Proceedings, Vol. 105
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Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
Mathematics and Computers in Simulation, Vol. 105, pp. 49-61
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Resolución de ecuaciones no lineales mediante procesos iterativos
Zubía, Núm. 26, pp. 165-200