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Listar por tema "Newton-type method"

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    • New improved convergence analysis for Newton-like methods with applications 

      Magreñán, Á. Alberto ; Argyros, Ioannis K; Sicilia, Juan Antonio (Journal of Mathematical Chemistry, 08/2017)
      We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases ...

    • Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics 

      Chand, Prem Bahadur; Chicharro, Francisco Israel ; Jain, Pankaj; Sethi, Kriti (Mediterranean Journal of Mathematics, 16/04/2019)
      In this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equations, where the multiplicity is known in advance. These methods are based on the third-order method given by Weerakoon ...