Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

12-2012

Journal or Book Title

Electronic Journal of Linear Algebra

Volume

23

First Page

953

Last Page

965

DOI

10.13001/1081-3810.1568

Abstract

An eventual property of a matrix M is an element of C-nxn is a property that holds for all powers M-k, k >= k(0), for some positive integer k(0). Eventually positive and eventually nonnegative matrices have been studied extensively, and some results are known for eventually r-cyclic matrices. This paper introduces and establishs properties of eventually reducible matrices, establishs properties of the eigenstructure of eventually r-cyclic matrices, and answers affirmatively a question of Zaslavsky and Tam about eventually nonnegative matrices.

Comments

This article published as Hogben, Leslie, and Ulrica Wilson. "Eventual properties of matrices." The Electronic Journal of Linear Algebra 23 (2012): 953-965. DOI: 10.13001/1081-3810.1568. Posted with permission.

Copyright Owner

The Author(s)

Language

en

File Format

application/pdf

Included in

Algebra Commons

Share

COinS