• Ball convergence for Steffensen-type fourth-order methods 

      Argyros, Ioannis K; George, Santhosh (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 2015)
      We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier ...
    • 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 ...
    • Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high 

      Argyros, Ioannis K; George, Santhosh; Magreñán, Á. Alberto (Journal of Computational and Applied Mathematics, 07/2015)
      We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes ...