On Krylov solutions to infinite-dimensional inverse linear problems

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dc.contributor.areaMathematicsen_US
dc.contributor.authorCaruso, Noe
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorNovati, Paolo
dc.date.accessioned2018-11-20T13:12:02Z
dc.date.available2018-11-20T13:12:02Z
dc.date.issued2018-11
dc.description.abstractWe discuss, in the context of inverse linear problems in Hilbert space, the notion of the associated infinite-dimensional Krylov subspace and we produce necessary and sufficient conditions for the Krylov-solvability of the considered inverse problem. The presentation is based on theoretical results together with a series of model examples, and it is corroborated by specific numerical experiments.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35327
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;49/2018/MATE
dc.relation.lastpage19en_US
dc.subjectinverse linear problems,en_US
dc.subjectin nite-dimensional Hilbert spaceen_US
dc.subjectill-posed problemsen_US
dc.subjectorthonormal basis discretisationen_US
dc.subjectbounded linear operatorsen_US
dc.subjectKrylov subspacesen_US
dc.subjectcyclic operatorsen_US
dc.subjectKrylov solutionen_US
dc.subjectGMRESen_US
dc.subjectconjugate gradienten_US
dc.subjectLSQR.en_US
dc.titleOn Krylov solutions to infinite-dimensional inverse linear problemsen_US
dc.typePreprinten_US
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