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Shift equivalence and the Jordan form away from zero

Published online by Cambridge University Press:  19 September 2008

Mike Boyle
Affiliation:
IBM, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA and Mathematical Sciences Research Institute, 2223 Fulton Street, Room 603, Berkeley, CA 94720, USA
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Abstract

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Only finitely many shift equivalence classes of non-negative aperiodic integral matrices may share a given diagonal Jordan form away from zero. The diagonal assumption is necessary.

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Type
Research Article
Copyright
Copyright © Cambridge University Press 1984