On the Structure of Nonnegative Semigroups of Matrices
| dc.contributor.author | Williamson, Peter | |
| dc.date.accessioned | 2009-08-18T20:04:37Z | |
| dc.date.available | 2009-08-18T20:04:37Z | |
| dc.date.issued | 2009-08-18T20:04:37Z | |
| dc.date.submitted | 2009 | |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/4559 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.subject | Semigroups | en |
| dc.subject | nonnegative matrices | en |
| dc.subject.program | Pure Mathematics | en |
| dc.title | On the Structure of Nonnegative Semigroups of Matrices | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |