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Browsing by Author "Budzko, Dzmitry"

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Browsing by Author "Budzko, Dzmitry"

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    A new family of iterative methods widening areas of convergence 
    Budzko, Dzmitry; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02-01)
    [EN] A new parametric class of third-order iterative methods for solving nonlinear equations and systems is presented. These schemes are showed to be more stable than Newton’, Traub’ or Ostrowski’s procedures (in some ...
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    Dynamical study while searching equilibrium solutions in N-body problem 
    Budzko, Dzmitry; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel-Ferragud, Carles (Elsevier, 2016-05-01)
    The theory of complex dynamics is usually applied to compare the global convergence properties of different iterative methods, by obtaining the attraction basins for simple polynomial equations in the complex domain. ...
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    Modifications of Newton's method to extend the convergence domain 
    Budzko, Dzmitry; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Springer, 2014-11)
    The paper is devoted to description of certain ways of extending the domain of convergence of Newton’s method. This paper is a survey of contributions of representatives of Soviet and Russian mathematical school, namely, ...