LIP6 1997/035
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Reports «Utilisation des approximants de Padé pour le calcul de bases minimales»
- M.-P. Stuchlik-Quéré
- 7 pages - 12/15/1997 - document en - http://www.lip6.fr/lip6/reports/1997/lip6.1997.035.ps.gz 41 Ko
- Contact Marie-Pierre.Quere (at) nulllip6.fr
- Ancien Thème : CALFOR
In this article, we present a new method to compute minimal bases for the kernel of a polynomial matrix. This method uses computation of Padé approximants for the special case where one does not look after an approximation but an exact value. For a polynomial matrix of order $m$ and degree $d$, its cost is about $m^4d^2$ arithmetic operations.
- Keywords : Polynomial matrix, Minimal base, Matrix Pencil, Padé approximants
- Publisher : Annick.Valibouze (at) nulllip6.fr