LIP6 1997/035

• 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