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 ...
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, ...
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. ...