HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

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.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00073848
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 1:54:14 PM
Last modification on : Friday, February 4, 2022 - 3:09:53 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:00:00 AM

Identifiers

  • HAL Id : inria-00073848, version 1

Citation

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

Share

Metrics

Record views

114

Files downloads

515