• Local convergence of a relaxed two-step Newton like method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto ; Orcos, Lara ; Sicilia, Juan Antonio (Journal of Mathematical Chemistry, 08/2017)
      We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
    • Two-step Newton methods 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we extend the applicability of two-step Newton's method for solving nonlinear equations.