• 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 ...
    • 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 ...