Discrete max-plus spectral theory

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dc.creatorAkian, Marianne
dc.creatorGaubert, Stephane
dc.creatorWalsh, Cormac
dc.date2004-05-12
dc.date.accessioned2026-07-07T05:08:11Z
dc.date.available2026-07-07T05:08:11Z
dc.descriptionWe develop a max-plus spectral theory for infinite matrices. We introduce recurrence and tightness conditions, under which many results of the finite dimensional theory, concerning the representation of eigenvectors and the asymptotic behavior of powers of matrices, carry over. We also announce more general representation results for eigenvectors, which are obtained by introducing a max-plus analogue of the Martin boundary.
dc.description25 pages, 7 figures. ESI preprint
dc.identifierhttps://arxiv.org/abs/math/0405225
dc.identifierhttp://arxiv.org/abs/math/0405225
dc.identifierAppears in "Idempotent Mathematics and Mathematical Physics", G.L. Litvinov and V.P. Maslov, Eds, vol. 377 of Contemporary Mathematics, pp. 53--77, AMS, 2005.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71159
dc.subjectSpectral Theory
dc.subjectOptimization and Control
dc.subject47J10 (primary) 49L20, 15A48 (secondary)
dc.titleDiscrete max-plus spectral theory
dc.typetext

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