Asymptotic analysis of powers of matrices

dc.creatorDominici, Diego
dc.date2005-05-30
dc.date.accessioned2026-07-07T05:20:22Z
dc.date.available2026-07-07T05:20:22Z
dc.descriptionWe analyze the representation of $A^{n}$ as a linear combination of $A^{j},\ 0\leq j\leq k-1,$ where $A$ is a $k\times k$ matrix. We obtain a first order asymptotic approximation of $A^{n}$ as $n\to\infty,$ without imposing any special conditions on $A.$ We give some examples showing the application of our results.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0505659
dc.identifierhttp://arxiv.org/abs/math/0505659
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75357
dc.subjectClassical Analysis and ODEs
dc.subjectMSC-class: 15A15 (Primary) 34E05 (Secondary)
dc.titleAsymptotic analysis of powers of matrices
dc.typetext

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