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4 Result(s)

within Á. Alberto Magreñán Remove this filter Applications of Mathematics Remove this filter

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  1. No Access

    Article

    Extending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domains

    The mesh independence principle states that, if Newton’s method is used to solve an equation on Banach spaces as well as finite dimensional discretizations of that equation, then the behaviour of the discretiz...

    Ioannis K. Argyros, Soham M. Sheth… in International Journal of Applied and Compu… (2017)

  2. No Access

    Article

    Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

    We study the local convergence of a method presented by Cordero et al. of convergence order at least five to approximate a locally unique solution of a nonlinear equation. These studies show the convergence un...

    Á. Alberto Magreñán, Ioannis K. Argyros in SeMA Journal (2015)

  3. No Access

    Article

    A complex dynamical approach of Chebyshev’s method

    The aim of this paper is to investigate the iterative root-finding Chebyshev’s method from a dynamical perspective. We analyze the behavior of the method applied to low degree polynomials. In this work we focu...

    Martín García-Olivo, José M. Gutiérrez, Á. Alberto Magreñán in SeMA Journal (2015)

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    Article

    Expanding the applicability of the Gauss–Newton method for convex optimization under a majorant condition

    A new semi-local convergence analysis of the Gauss–Newton method for solving convex composite optimization problems is presented using the concept of quasi-regularity for an initial point. Our convergence anal...

    Á. Alberto Magreñán, Ioannis K. Argyros in SeMA Journal (2014)