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Listar por autor "Amorós, Cristina"

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    • Extending the Applicability of Stirling's Method 

      Amorós, Cristina ; Argyros, Ioannis K; Magreñán, Á. Alberto; Regmi, Samundra; González-Crespo, Rubén ; Sicilia, Juan Antonio (Mathematics, 01/2020)
      Stirling's method is considered as an alternative to Newton's method when the latter fails to converge to a solution of a nonlinear equation. Both methods converge quadratically under similar convergence criteria and require ...

    • New Improvement of the Domain of Parameters for Newton’s Method 

      Amorós, Cristina ; Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Regmi, Samundra; Sarría, Íñigo (Mathematics, 01/2020)
      There is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability ...

    • Study of a high order family: Local convergence and dynamics 

      Amorós, Cristina ; Argyros, Ioannis K; González-Crespo, Rubén ; Magreñán, Á. Alberto; Orcos, Lara ; Sarría, Íñigo (Mathematics, 01/03/2019)
      The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a ...