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    Listar por tema "Banach space"

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      • Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis 

        Argyros, Michael; 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 ...
      • Extending the mesh independence for solving nonlinear equations using restricted domains 

        Argyros, Ioannis K; Sheth, Soham M.; Younis, Rami M.; Magreñán, Á. Alberto ; George, Santhosh (International Journal of Applied and Computational Mathematics, 12/2017)
        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 discretized process ...
      • Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space 

        Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara ; Sarría, Íñigo (Mathematics, 05/2019)
        Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...

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