Precondicionamento do método GMRES para Z-matrizes

This study aims to investigate the convergence behavior of the GMRES (Generalized Minimal Residual) method and its version GMRES(m), without and with preconditioner ILU(0) applied to sparse non-symmetric linear systems. Our main interest is to see if the behavior of these algorithms can be influe...

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Autor principal: Silva, Josimara Tatiane da
Outros Autores: Cohen, Nir
Formato: Dissertação
Idioma:por
Publicado em: Brasil
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Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/22016
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Resumo:This study aims to investigate the convergence behavior of the GMRES (Generalized Minimal Residual) method and its version GMRES(m), without and with preconditioner ILU(0) applied to sparse non-symmetric linear systems. Our main interest is to see if the behavior of these algorithms can be influenced by the structure of the matrices considered, in particular, the Z-matrices. Furthermore, the influence of the choice of the degree of sparsity. Among the observed parameters, we focus on the spectral radius of these matrices, as well as the relative residual norm obtained by these algorithms.