Grupo de Procesos Iterativos y Ecuaciones no Lineales
PRIENOL
Cameron University
Lawton, Estados UnidosPublicaciones en colaboración con investigadores/as de Cameron University (24)
2024
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Derivative free processes of high order for nondifferentiable equations in Banach spaces
Mathematical Methods in the Applied Sciences
2021
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A unified convergence analysis for single step-type methods for non-smooth operators
Journal of Computational Analysis and Applications, Vol. 29, Núm. 2, pp. 327-343
2020
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A multistep Steffensen-type method for solving nonlinear systems of equations
Mathematical Methods in the Applied Sciences
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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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Extending the choice of starting points for Newton's method
Mathematical Methods in the Applied Sciences, Vol. 43, Núm. 14, pp. 8042-8050
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On the local and semilocal convergence of a parameterized multi-step Newton method
Journal of Computational and Applied Mathematics, Vol. 376
2019
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A unified convergence analysis for some two-point type methods for Nonsmooth Operators
Mathematics, Vol. 7, Núm. 8
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On the convergence of secant-like methods
Current Trends in Mathematical Analysis and its Interdisciplinary Applications (Springer International Publishing), pp. 141-183
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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On the local convergence study for an efficient k-step iterative method
Journal of Computational and Applied Mathematics
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On two high-order families of frozen Newton-type methods
Numerical Linear Algebra with Applications, Vol. 25, Núm. 1
2017
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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
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Convergence of Steffensen’s method for non-differentiable operators
Numerical Algorithms, Vol. 75, Núm. 1, pp. 229-244
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Expanding the applicability of some high order Househölder-like methods
Algorithms, Vol. 10, Núm. 2
2016
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Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains
Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2016, Costa Ballena (Rota), Cádiz, Spain July 4th -8th , 2016
2015
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Directional chebyshev-type methods for solving equations
Mathematics of Computation, Vol. 84, Núm. 292, pp. 815-830
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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
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Expanding the applicability of secant-like methods for solving nonlinear equations
Carpathian Journal of Mathematics, Vol. 31, Núm. 1, pp. 11-30
2014
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Convergence of the relaxed Newton's method
Journal of the Korean Mathematical Society, Vol. 51, Núm. 1, pp. 137-162