The Mortality of a Pair of 2x2 Matrices is DecidableReport as inadecuate




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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.

Keywords : DECIDABILITY LINEAR ALGEBRA MORTALITY





Author: Yannick Saouter -

Source: https://hal.archives-ouvertes.fr/



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