ABOUT SUCCESSIVE GAUSS-SEIDELISATIONS
Poncet, Philippe ; Robert, François
HAL, hal-02010704 / Harvested from HAL
Text on HAL
This note adresses the general problem of the dynamical behavior for successive Gauss-Seidel transformations (shortly called Gauss-Seidelisations) of a given mapping over the n-cube. Complete results are given for n = 2 and n = 3, and then a natural conjecture is proved to be false for greater n. Thus this interesting and simple problem remains still open for n ≥ 4.
Publié le : 1999-07-04
Classification:  Short cycled transformations,  n-cube-Graph theory,  Discrete Operators,  Gauss-Seidel,  Computer algebra,  Boolean algebra,  Gröbner basis,  AMS subject classifications. 15A18, 34C35, 34DXX.,  [INFO]Computer Science [cs],  [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],  [INFO.INFO-RO]Computer Science [cs]/Operations Research [cs.RO],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-02010704,
     author = {Poncet, Philippe and Robert, Fran\c cois},
     title = {ABOUT SUCCESSIVE GAUSS-SEIDELISATIONS},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02010704}
}

Poncet, Philippe; Robert, François. ABOUT SUCCESSIVE GAUSS-SEIDELISATIONS. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-02010704/