Classes de métodos numéricos não convencionais para determinação de raízes de funções
The present work addresses some unconventional numerical methods for determine roots of nonlinear equations of one variable, they are: Illinois, Pegasus, Müller, Brent, Halley, Chebyshev and Newton–RM.Research also lists some aspects that classical numerical methods face in the convergence of...
| Autor principal: | GALVÃO, Henrique Pinheiro |
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| Grau: | Trabalho de Curso - Graduação - Monografia |
| Publicado em: |
2025
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| Assuntos: | |
| Acesso em linha: |
https://bdm.ufpa.br/jspui/handle/prefix/7663 |
| Resumo: |
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The present work addresses some unconventional numerical methods for determine roots
of nonlinear equations of one variable, they are: Illinois, Pegasus, Müller, Brent, Halley,
Chebyshev and Newton–RM.Research also lists some aspects that classical numerical methods
face in the convergence of the problem. The work presents explanations relating the disad
vantages of classical methods and how more sophisticated approaches solve these problems,
as well as comparative geometric simulations. In the course of this research, a description of
the methods will be presented with brief historical approaches. The data obtained will be
analyzed taking into account the number of iterations and the approximate relative error, as
well as the time spent. |