UWSpace is currently experiencing technical difficulties resulting from its recent migration to a new version of its software. These technical issues are not affecting the submission and browse features of the site. UWaterloo community members may continue submitting items to UWSpace. We apologize for the inconvenience, and are actively working to resolve these technical issues.
 

On the Structure of Nonnegative Semigroups of Matrices

Thumbnail Image

Files

Peter_Williamson's_MMath_Thesis.pdf (293.41 KB)

Date

2009-08-18T20:04:37Z

Authors

Williamson, Peter

Journal Title

Journal ISSN

Volume Title

Publisher

University of Waterloo

Abstract

The results presented here are concerned with questions of decomposability of multiplicative semigroups of matrices with nonnegative entries. Chapter 1 covers some preliminary results which become useful in the remainder of the exposition. Chapters 2 and 3 constitute an exposition of some recent known results on special semigroups. Chapter 2 explores conditions for decomposability of semigroups in terms of conditions derived from linear functionals and in Chapter 3, we give a complete proof of an extension of the celebrated Perron-Frobenius Theorem. No originality is claimed for the results in Chapters 2 and 3. In Chapter 4, we present some new results on sufficient conditions for finiteness of semigroups of matrices.

Description

Keywords

Semigroups, nonnegative matrices

LC Keywords

Citation

URI

http://hdl.handle.net/10012/4559

Collections

Theses
Pure Mathematics