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    • Domain of parameters 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we present several convergence results related to Newton's method in which we enlarge the domain of parameters, which is one of the main problems in iterative procedure studies. Moreover, several numerical ...

    • Improving the domain of parameters for Newton's method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto ; Sicilia, Juan Antonio (Journal of Computational and Applied Mathematics, 07/2017)
      We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are ...