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On Krylov solutions to infinite-dimensional inverse linear problems

Show simple item record Caruso, Noe Michelangeli, Alessandro Novati, Paolo 2018-11-20T13:12:02Z 2018-11-20T13:12:02Z 2018-11
dc.description.abstract We 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.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;49/2018/MATE
dc.subject inverse linear problems, en_US
dc.subject in nite-dimensional Hilbert space en_US
dc.subject ill-posed problems en_US
dc.subject orthonormal basis discretisation en_US
dc.subject bounded linear operators en_US
dc.subject Krylov subspaces en_US
dc.subject cyclic operators en_US
dc.subject Krylov solution en_US
dc.subject GMRES en_US
dc.subject conjugate gradient en_US
dc.subject LSQR. en_US
dc.title On Krylov solutions to infinite-dimensional inverse linear problems en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 19 en_US

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