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Preface of the "iterative Procedures for Solving Nonlinear Problems"
(AIP Conference Proceedings, 2018)
Ponencia de la conferencia "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017; The MET HotelThessaloniki; Greece; 25 September 2017 through 30 September 2017"
Convergence of iterative methods for multiple zeros
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we study the convergence, as well as the dynamics, of some high order family of iterative methods
Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations
(AIP Conference Proceedings, 2018)
We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The ...
Gauss-Newton method for convex composite optimization
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we extend the solvability of convex composite optimization problems using Gauss–Newton method. We present the algorithm and study the regularity. Then we present the semilocal convergence study and finish ...