| Journal: | Computational & applied mathematics |
| Database: | PERIÓDICA |
| System number: | 000310625 |
| ISSN: | 0101-8205 |
| Authors: | Garcia, M.V.P1 Humes-Junior, C2 Stern, J.M |
| Institutions: | 1Universidade de Sao Paulo, Departamento de Matematica Aplicada, Sao Paulo. Brasil 2Universidade de Sao Paulo, Departamento de Ciencia da Computacao, Sao Paulo. Brasil |
| Year: | 2003 |
| Volumen: | 22 |
| Number: | 1 |
| Pages: | 91-97 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | We present a module based criterion, i.e. a sufficient condition based on the absolute value of the matrix coefficients, for the convergence of Gauss-Seidel method (GSM) for a square system of linear algebraic equations, the Generalized Line Criterion (GLC). We prove GLC to be the ''most general'' module based criterion and derive, as GLC corollaries, some previously know and also some new criteria for GSM convergence. Although far more general than the previously known results, the proof of GLC is simpler. The results used here are related to recent research in stability of dynamical systems and control of manufacturing systems |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Método de Gauss-Seidel, Criterio de generalizado de línea, Sistemas de manufactura |
| Keyword: | Mathematics, Applied mathematics, Gauss-Seidel method, Generalized line criterion, Manufacturing systems |
| Full text: | Texto completo (Ver HTML) |
