Abstract
This note addresses 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 problem remains still open for $n\geq 4$.
Citation
Philippe Poncet. Francois Robert. "ABOUT SUCCESSIVE GAUSS-SEIDELISATIONS." Taiwanese J. Math. 3 (4) 491 - 501, 1999. https://doi.org/10.11650/twjm/1500407162
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