Eventual properties of matrices

Date
2012-12-01
Authors
Hogben, Leslie
Wilson, Ulrica
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Authors
Research Projects
Organizational Units
Mathematics
Organizational Unit
Journal Issue
Series
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.

Description

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.

Keywords
Eventually reducible matrix, Eventually nonnegative matrix, Eventually r-cyclic matrix
Citation
DOI
Collections