José Manuel
Gutiérrez Jiménez
CATEDRÁTICO DE UNIVERSIDAD
Publicaciones (110) Publicaciones de José Manuel Gutiérrez Jiménez
2024
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A Probabilistic Description of the Impact of Vaccine-Induced Immunity in the Dynamics of COVID-19 Transmission
Open Journal of Modelling and Simulation, Vol. 12, Núm. 02, pp. 59-73
2023
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Two Dynamic Remarks on the Chebyshev–Halley Family of Iterative Methods for Solving Nonlinear Equations
Axioms, Vol. 12, Núm. 12, pp. 1114
2022
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Ecuaciones en recurrencia
Desarrollo de destrezas en resolución de problemas de olimpiadas matemáticas (Universidad de La Rioja), pp. 25-39
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Third Order Root-Finding Methods based on a Generalization of Gander’s Result
Malaysian Journal of Mathematical Sciences, Vol. 16, Núm. 4, pp. 659-671
2021
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A characterization of the dynamics of schröder’s method for polynomials with two roots
Fractal and Fractional, Vol. 5, Núm. 1
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A graphic method for detecting multiple roots based on self-maps of the hopf fibration and nullity tolerances
Mathematics, Vol. 9, Núm. 16
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A picard-type iterative scheme for Fredholm integral equations of the second kind
Mathematics, Vol. 9, Núm. 1, pp. 1-15
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An ulm-type inverse-free iterative scheme for fredholm integral equations of second kind
Symmetry, Vol. 13, Núm. 10
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Notas de Ecuaciones en Derivadas Parciales
Universidad de La Rioja
2020
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Efficient Optimal Families of Higher-Order Iterative Methods with Local Convergence
Applicable Analysis and Discrete Mathematics, Vol. 14, Núm. 3, pp. 729-753
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Extending the applicability of Newton's method for a class of boundary value problems using the shooting method
Applied Mathematics and Computation, Vol. 384
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Improved iterative solution of linear fredholm integral equations of second kind via inverse-free iterative schemes
Mathematics, Vol. 8, Núm. 10, pp. 1-13
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Superattracting Extraneous Fixed Points and n-cycles for Chebyshev’s Method on Cubic Polynomials
Qualitative theory of dynamical systems, Vol. 19, Núm. 2
2019
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On the convergence of newton-moser method from data at one point
Understanding Banach Spaces (Nova Science Publishers, Inc.), pp. 189-198
2018
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An acceleration of the continuous Newton's method
Journal of Computational and Applied Mathematics
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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A multidimensional generalization of some classes of iterative methods
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, Vol. 74, Núm. 1, pp. 57-73
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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Miniatura. El problema de Cayley y el método de Chebyshev
Gaceta de la Real Sociedad Matematica Española, Vol. 19, Núm. 3, pp. 542