Non-negative integral matrices with given spectral radius and controlled dimension
A celebrated theorem of Douglas Lind states that a positive real number is equal to the spectral radius of some integral primitive matrix, if and only if, it is a Perron algebraic integer. Given a Perron number p, we prove that there is an integral irreducible matrix with spectral radius p, and with...
Main Author: | |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Cambridge University Press
2021
|