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Listar por tema "Newton-like method"

Mostrando ítems 1-3 de 3

    • Ball convergence of a sixth-order Newton-like method based on means under weak conditions 

      Magreñán, Á. Alberto ; Argyros, Ioannis K; Rainer, J Javier ; Sicilia, Juan Antonio (Journal of Mathematical Chemistry, 08/2018)
      We study the local convergence of a Newton-like method of convergence order six to approximate a locally unique solution of a nonlinear equation. Earlier studies show convergence under hypotheses on the seventh derivative ...

    • Inexact two-point Newton-like methods 

      Magreñán, Á. Alberto; Argyros, Ioannis K (Elsevier, 2018)
      In this chapter the applicability of inexact two-point Newton-like method for solving nonlinear equations is extended. Moreover, we present some numerical examples validating the theoretical results.

    • Optimizing the applicability of a theorem by F. Potra for Newton-like methods 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Applied Mathematics and Computation, 09/2014)
      We present a new sufficient semilocal convergence conditions for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these ...