• 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 comparison between frozen Kurchatov and Schmidt–Schwetlick–Kurchatov solvers with applications 

      Moysi, Alejandro; Argyros, Michael I; Argyros, Ioannis K; Magreñán, Á. Alberto ; Sarría, Íñigo ; González Sánchez, Daniel (Journal of Computational and Applied Mathematics, 04/2022)
      In this work we are going to use the Kurchatov–Schmidt–Schwetlick-like solver (KSSLS) and the Kurchatov-like solver (KLS) to locate a zero, denoted by x∗ of operator F. We define F as F:D⊆B1⟶B2 where B1 and B2 stand for ...
    • Study of local convergence and dynamics of a king-like two-step method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Moysi, Alejandro; Sarría, Íñigo ; Sicilia, Juan Antonio (Mathematics, 01/07/2020)
      In this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because ...