Listar por tema "recurrent functions"
Mostrando ítems 1-2 de 2
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Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains
(Journal of Mathematical Chemistry, 08/2017)We present new sufficient convergence conditions for the semilocal convergence of Newton’s method to a locally unique solution of a nonlinear equation in a Banach space. We use Hölder and center Hölder conditions, instead ... -
Expanding the convergence domain for Chun-Stanica-Neta family of third order methods in banach spaces
(Journal of the Korean Mathematical Society, 01/2015)We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica. and Neta. These ...