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Gursoy, Buket and Mason, Oliver (2011) Spectral properties of matrix polynomials in the max algebra. Linear Algebra and its Applications, 435 (7). pp. 1626-1635. ISSN 0024-3795
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Abstract
We consider the spectral properties of matrix polynomials over the max algebra. In particular, we show how the Perron–Frobenius theorem for the max algebra extends to such polynomials and illustrate the relevance of this for multistep difference equations in the max algebra. We also present a number of inequalities for the largest max eigenvalue of a matrix polynomial.
| Item Type: | Article |
|---|---|
| Keywords: | Matrix polynomials; Perron–Frobenius theory; Max algebra; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 6065 |
| Identification Number: | 10.1016/j.laa.2010.01.014 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 22 Apr 2015 15:57 |
| Journal or Publication Title: | Linear Algebra and its Applications |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/6065 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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