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 ...
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. ...
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, ...