The Mortality of a Pair of 2x2 Matrices is Decidable

Yannick Saouter 1
1 API - Parallel VLSI Architectures
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : A pair of matrices is said to be mortal if there is a serie of these matrices for which the product is the null matrix. A recent result have established that the general problem of the mortality of a pair of integral matrices is undecidable. In this article, we prove by using only linear algebra that the mortality of a pair of 2x2 integral matrices is decidable.
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Rapport
[Research Report] RR-2842, INRIA. 1996
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https://hal.inria.fr/inria-00073848
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Soumis le : mercredi 24 mai 2006 - 13:54:14
Dernière modification le : mercredi 16 mai 2018 - 11:23:02
Document(s) archivé(s) le : lundi 5 avril 2010 - 00:00:00

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  • HAL Id : inria-00073848, version 1

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Yannick Saouter. The Mortality of a Pair of 2x2 Matrices is Decidable. [Research Report] RR-2842, INRIA. 1996. 〈inria-00073848〉

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