• Complexity of an Homotopy Method at the Neighbourhood of a Zero 

      Yakoubsohn, J. C.; Gutierrez, J. M.; Magreñán, Á. Alberto (Advances in iterative methods for nonlinear equations, 2016)
      This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered ...
    • Measures of the Basins of Attracting n-Cycles for the Relaxed Newton's Method 

      Gutierrez, J. M.; Hernandez, L. J.; Magreñán, Á. Alberto ; Rivas, M. T. (Advances in iterative methods for nonlinear equations, 2016)
      The relaxed Newton's method modifies the classical Newton's method with a parameter h in such a way that when it is applied to a polynomial with multiple roots and we take as parameter one of these multiplicities, it is ...