Some users are experiencing upload errors at the moment. If you receive a "UWSpace is down for maintenance" error, please email jordan.hale@uwaterloo.ca as soon as possible. We are very sorry for the inconvenience.
Universal bounds for positive matrix semigroups
Abstract
We show that any compact semigroup of positive n×n matrices is similar (via a positive diagonal similarity) to a semigroup bounded by n√. We give examples to show this bound is best possible. We also consider the effect of additional conditions on the semigroup and obtain improved bounds in some cases.
Collections
Cite this version of the work
Leo Livshits, Gordon MacDonald, Laurent Marcoux, Heydar Radjavi
(2016).
Universal bounds for positive matrix semigroups. UWSpace.
http://hdl.handle.net/10012/15736
Other formats