[EN] A new HSS-based algorithm for solving systems of nonlinear equations is presented and its semilocal convergence is proved. Spectral properties of the new method are investigated. Performance profile for the new scheme ...
[EN] In this paper, we present a uniparametric family of modified Chebyshev-Halley type methods with optimal eighth-order of convergence. In terms of computational cost, each member of the family requires only four functional ...
Amiri, Abdolreza; Darvishi, Mohammad Taghi; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(MDPI AG, 2019-09)
[EN] In this paper, an iterative method for solving large, sparse systems of weakly nonlinear equations is presented. This method is based on Hermitian/skew-Hermitian splitting (HSS) scheme. Under suitable assumptions, we ...
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, ...