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Gursoy, Buket and Mason, Oliver (2011) P1-max and S-max properties and asymptotic stability in the max algebra. Linear Algebra and its Applications, 435 (5). pp. 1008-1018. ISSN 0024-3795
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Abstract
In this work, we introduce the class of
P
1
max
-matrices for the max
algebraandderivesomepropertiesofthesethatechosimilarresults
for
P
-matricesintheconventionalalgebra.InanalogywithSongetal.
(1999) [1], we define the row-
P
1
max
-property and the
S
max
-property
of a finite set of nonnegative matrices. Moreover, we relate these
concepts to stability questions for sets of matrices and difference
inclusions in the max algebra
| Item Type: | Article |
|---|---|
| Keywords: | P-matrix; Max algebra; Asymptotic stability; Convex hull; Generalised spectral radius; Discrete inclusion; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 6063 |
| Identification Number: | 10.1016/j.laa.2011.02.054 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 22 Apr 2015 15:36 |
| Journal or Publication Title: | Linear Algebra and its Applications |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/6063 |
| 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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