Buscar
Mostrando ítems 1-10 de 12
An Overview on Steffensen-Type Methods
(Advances in iterative methods for nonlinear equations, 2016)
In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different ...
Complexity of an Homotopy Method at the Neighbourhood of a Zero
(Advances in iterative methods for nonlinear equations, 2016)
This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered ...
Two-step Newton methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we extend the applicability of two-step Newton's method for solving nonlinear equations.
Directional Newton methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter, we are concerned with the convergence of the Directional Newton method (DNM), which is used in many areas such us computer graphics and many applied sciences. We obtain weaker convergence criteria, larger ...
Laguerre-like method for multiple zeros
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter the applicability of the Laguerre-like method for finding multiple zeros is extended. Numerical examples are also presented.
Newton's method to solve equations with solutions of multiplicity greater than one
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter the solvability of equations with multiple roots is expanded using the modified Newton's method. Examples are also presented illuminating the theoretical results.
Convergence planes of iterative methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we study the convergence planes associated to a certain class of iterative methods.
Convergence and the dynamics of Chebyshev-Halley type methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present a weak convergence analysis and the dynamics of Chebyshev–Halley type methods.
Convergence and dynamics of a higher order family of iterative methods
(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 convergence order family of iterative methods.
Traub's method for multiple roots
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present several convergence results related to the convergence of Traub's method for finding solutions with multiplicity greater than 1. Moreover, we present numerical examples in which the theoretical ...