Zur Kurzanzeige

dc.contributor.authorGuglielmi, Nicola
dc.contributor.authorKreßner, Daniel
dc.contributor.authorLubich, Christian
dc.date.accessioned2013-02-08T12:00:02Z
dc.date.accessioned2016-10-05T14:13:52Z
dc.date.available2013-02-08T12:00:02Z
dc.date.available2016-10-05T14:13:52Z
dc.date.issued2013-02-08
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1052
dc.descriptionResearch in Pairs 2012en_US
dc.description.abstractFor a Hamiltonian matrix with purely imaginary eigenvalues, we aim to determine the nearest Hamiltonian matrix such that so me or all eigenvalues leave the imaginary axis. Conversely, for a Hamiltonian matrix with all eigenvalues lying off the imaginary axis, we look for a nearest Hamiltonian matrix that has a pair of imaginary eigenvalues. The Hamiltonian matrices can be allowed to be complex or restricted to be real. Such Hamiltonian matrix nearness problems are motivated by applications such as the analysis of passive control systems. They are closely related to the problem of determining extremal points of Hamiltonian pseudospectra. We obtain a characterization of optimal perturbations, which turn out to be of low rank and are attractive stationary points of low-rank differential equations that we derive. This permits us to give fast algorithms - which show quadratic convergence - for solving the considered Hamiltonian matrix nearness problems.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2013,01
dc.subjectHamiltonian pseudospectrumen_US
dc.subjectPassivity radiusen_US
dc.subjectAlgebraic Riccati equationsen_US
dc.subjectLow-rank dynamicsen_US
dc.subjectDifferential equations on Stiefel manifoldsen_US
dc.titleLow rank differential equations for hamiltonian matrix nearness problemsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2013-01
local.scientificprogramResearch in Pairs 2012
local.series.idOWP-2013-01
local.subject.msc15
local.subject.msc65
local.subject.msc93
local.subject.msc49
dc.identifier.urnurn:nbn:de:101:1-2013020112034
dc.identifier.ppn1652029354


Dateien zu dieser Ressource

Thumbnail

Das Dokument erscheint in:

Zur Kurzanzeige