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Browsing by Subject "Convergence domain"

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Browsing by Subject "Convergence domain"

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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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    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, ...
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    Semilocal convergence by using recurrence relations for fifth-order method in Banach spaces 
    Cordero Barbero, Alicia; Hernandez-Veron, M. A.; Romero, N.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-01-01)
    In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found. ...