Cálculo de Autovalores via Métodos tipo Newton
DOI:
https://doi.org/10.5540/tema.2004.05.01.0037Abstract
Neste trabalho, desenvolve-se uma análise numérica de alguns métodos de decomposição parcial do espectro de uma matriz, mostrando a relação desses métodos com o método de Newton para calcular zeros de funções. Um desses métodos é o DPSE (Dominant Pole Spectrum Eigensolver), que surgiu em problemas de Controle. Provamos nesse trabalho que esse método, que é tipo Newton, tem convergência local quadrática. São mostrados alguns resultados interessantes obtidos da aplicação do DPSE ao problema de estabilidade local do sistema elétrico de potência brasileiro, que são então comparados a resultados obtidos com métodos tradicionais utilizados também na resolução desse problema.References
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