• Inexact Newton Methods on Riemannian Manifolds 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Advances in iterative methods for nonlinear equations, 2016)
      In this chapter we study of the Inexact Newton Method in order to solve problems on a Riemannian Manifold. We present standard notation and previous results on Riemannian manifolds. A local convergence study is presented ...
    • Secant-like methods in chemistry 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we provide different semilocal and local results for the convergence of secant-like methods in order to expand the solvability of nonlinear equations. Different numerical examples and chemical applications ...