Uma Análise Comparativa do Desempenho de Métodos Quase-Newton na Resolução de Problemas em Sísmica

Authors

  • L.F. de Mendonça
  • V.L.R. Lopes

DOI:

https://doi.org/10.5540/tema.2004.05.01.0107

Abstract

Este trabalho descreve o problema de traçamento de raios, que é freq¨uente em Geofísica e introduz sua solução utilizando métodos quase-Newton. Na literatura em geral, problemas desse tipo eram sempre resolvidos utilizando o método de Newton. Aqui foram utilizados, além do método de Newton, os métodos quase- Newton: Broyden, Inverse Column Updating Method e Inverse q−Columns Updating Method. Uma análise comparativa do desempenho desses métodos é feita, traçando seus performance profiles usando como medidas o número de iterações e o tempo de execução.

References

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L.F. de Mendonça, “Métodos de Atualização Multi-Coluna Inverso para Sistemas Não Lineares”, Dissertação de Mestrado, Departamento de Matemática Aplicada, UNICAMP, Campinas, SP, 2002.

L.F. de Mendonça, R. Pérez e V.L.R. Lopes, Inverse q−columns updating methods for solving nonlinear systems of equations, Journal of Computational and Applied Mathematics, 158 (2003), 317-337.

R. Pérez e V.L.R. Lopes, Solving recent applications by quasi-Newton methods, Numerical Algorithms, 35 (2004), 261-285

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Published

2004-06-01

How to Cite

de Mendonça, L., & Lopes, V. (2004). Uma Análise Comparativa do Desempenho de Métodos Quase-Newton na Resolução de Problemas em Sísmica. Trends in Computational and Applied Mathematics, 5(1), 107–116. https://doi.org/10.5540/tema.2004.05.01.0107

Issue

Vol. 5 No. 1 (2004)

Section

Original Article

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