# name
El mètode de Newton com a sistema dinàmic

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Xavier Jarque i Ribera

# metadata.dc.description.abstract[].value
[en] Newton’s method, first introduced in 1669, is one of the most well-known root-finding algorithm. At the end of the nineteenth century, it emerged the idea of study the algorithm as a dynamical system in the complex plane, with the aim of understand the behavior of the method in a global way. The main goal of this thesis is to understand Newton’s method applied to polynomials as a rational function, studying properties and convergence
results, as well as, showing an algorithm to find all roots of a complex polynomial through Newton’s method. We are also going to study the iterative system applied to a special case of entire function and we will give a possible innovation to find all roots of a complex plynomial with Newton’s method through this type of functions.

# metadata.dc.rights[].value
cc-by-nc-nd (c) David Rosado Rodrı́guez, 2022

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
El mètode de Newton com a sistema dinàmic