Métodos para Encontrar Raízes Exatas e Aproximadas de Funções Polinomiais até o 4º Grau

• Autor(a) principal: Nascimento, Demilson Antonio do
• Data de Publicação: 2015
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/8060
• topic: Zeros de funções polinomiais e transcendentes; Zeros of Polynomial functions and transcendent; Métodos numéricos da Bisseção; Falsa posição; Ponto fixo; Newton-Raphson; Secante e Muller; Numerical methods of bisection; False position; Fixed point; Newton-Raphson; Métodos numéricos da Bisseção; MATEMATICA::MATEMATICA APLICADA

In several scienti c character problems, it is common to come across us with the need to obtain an approximate solution to nd roots of functions. At this point, this paper aims to conduct a study about some methods used to obtain an approximate solution of the functions of roots. The survey was made by means of a literature review, focusing on Numerical Methods Bisection, False Position, Fixed Point, Newton-Raphson and Secant. In order to illustrate the operation and application of these methods, numerical test problems taken from the literature were performed by implementing these. For each test performed were analyzed parameters that in uence each method and the convergence situation for the approximate solution of the analyzed problems. Although these methods do not always make available exact roots, they can be calculated with the precision that the problem needs. At this point, it is evident the importance of studying methods for nding such equations roots. Thus, the work is justi ed on the need to discuss the problems facing the nding roots of polynomial functions in the literature. In addition, this paper describes a comparison between the methods studied by applying mathematical problems. All this research material becomes adept and e ective for students and professionals from all areas that make use of them, or perhaps wish to extract it for enrichment of several sources of study.