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Comptes Rendus Mathématique
Volume 341, n° 12
pages 781-786 (décembre 2005)
Doi : 10.1016/j.crma.2005.10.019
Received : 10 June 2005 ;  accepted : 18 October 2005
On some matrix extrapolation methods
Sur des nouvelles méthodes dʼextrapolation matricielle
 

Khalide Jbilou a , Abderrahim Messaoudi b , Khalid Tabaa c
a Université du littoral, côte dʼopale, bâtiment H. Poincaré, 50, rue F. Buisson, 62280 Calais cedex, France 
b École normale supérieure Takaddoum, département de mathématiques, B.P. 5118, avenue Oued-Akreuch, Takaddoum, Rabat, Morocco 
c Département de mathématiques, faculté des sciences de Rabat, Agdal, Rabat, Morocco 

Abstract

In the present Note we introduce new matrix extrapolation methods as a generalization of well known vector extrapolation methods. We give expressions of the obtained approximation via the Schur complement. We apply these methods to linearly generated sequences and give some theoretical results. To cite this article: K. Jbilou et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005).

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Résumé

Dans cette Note, nous introduisons de nouvelles méthodes dʼextrapolation matricielle comme généralisation de certaines méthodes dʼextrapolation vectorielle. Les approximations obtenues sont données sous forme de complément de Schur. Ces méthodes seront ensuite appliquées à des suites matricielles générées linéairement et des résultas théoriques sont proposés. Pour citer cet article : K. Jbilou et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005).

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