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Listar por autor "González, Daniel"
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Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis
Argyros, Michael I; Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Moysi, Alejandro; Sarría, Íñigo (Computational and Mathematical Methods, 2021)In this article, we propose a new research related to the convergence of the frozen Potra and Schmidt-Schwetlick schemes when we apply to equations. The purpose of this study is to introduce a comparison between two solutions ... -
Convergence and Dynamics of a Higher-Order Method
Moysi, Alejandro; Argyros, Ioannis K; Regmi, Samundra; González, Daniel; Magreñán, Á. Alberto; Sicilia, Juan Antonio (Symmetry, 03/2020)Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, and engineering, to mention a few, reduces to solving an equation. Its solution is one of the greatest challenges. It involves ... -
Local Convergence for an Improved Jarratt-type Method in Banach Space
Argyros, Ioannis K; González, Daniel (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 2015)We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are ... -
New Improvement of the Domain of Parameters for Newton’s Method
Amorós, Cristina ; Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Regmi, Samundra; Sarría, Íñigo (Mathematics, 01/2020)There is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability ...