On the separation of eigenvalues by the permutation group

Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.

Bibliographic Details
Main Authors: Cigler Grega, Jerman Marjan
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.2478/spma-2014-0006