An atlas for tridiagonal isospectral manifolds

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dc.creatorLeite, Ricardo S.
dc.creatorSaldanha, Nicolau C.
dc.creatorTomei, Carlos
dc.date2006-08-22
dc.date2008-02-21
dc.date.accessioned2026-07-07T09:57:22Z
dc.date.available2026-07-07T09:57:22Z
dc.descriptionLet ${\cal T}_Λ$ be the compact manifold of real symmetric tridiagonal matrices conjugate to a given diagonal matrix $Λ$ with simple spectrum. We introduce {\it bidiagonal coordinates}, charts defined on open dense domains forming an explicit atlas for ${\cal T}_Λ$. In contrast to the standard inverse variables, consisting of eigenvalues and norming constants, every matrix in ${\cal T}_Λ$ now lies in the interior of some chart domain. We provide examples of the convenience of these new coordinates for the study of asymptotics of isospectral dynamics, both for continuous and discrete time.
dc.descriptionFixed typos; 16 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0608558
dc.identifierhttp://arxiv.org/abs/math/0608558
dc.identifierLinear Algebra and its Applications 429 (2008) 387-402
dc.identifierdoi:10.1016/j.laa.2008.03.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167318
dc.subjectSpectral Theory
dc.subject65F18; 15A29
dc.titleAn atlas for tridiagonal isospectral manifolds
dc.typetext

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