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Previous issue date: 2016-07-19 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES) / Este trabalho tem por objetivo investigar o comportamento de converg?ncia do
m?todo GMRES (Generalized Minimal RESidual) e sua vers?o GMRES(m), sem e
com precondicionador ILU(0) aplicado ? sistemas lineares n?o sim?tricos esparsos.
Nosso interesse principal ? verificar se o comportamento destes algoritmos pode ser
influenciado pela estrutura das matrizes consideradas, em particular, as Z-matrizes
e a influ?ncia da escolha do grau de esparsidade. Entre os par?metros observados,
concentramos no raio espectral dessas matrizes, tanto como a norma do res?duo
relativo obtido por estes algoritmos. / 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.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/22016 |
| Date | 19 July 2016 |
| Creators | Silva, Josimara Tatiane da |
| Contributors | 21402190824, Carvalho Filho, Luiz Mariano Paes de, 41301749753, Borjas, Santos Demetrio Miranda, 22863383884, Benavides, Julia Victoria Toledo, Cohen, Nir |
| Publisher | PROGRAMA DE P?S-GRADUA??O EM MATEM?TICA APLICADA E ESTAT?STICA, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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