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dc.contributor.author
Kazeev, Vladimir
dc.contributor.author
Khoromskij, Boris N.
dc.date.accessioned
2017-06-09T18:11:08Z
dc.date.available
2017-06-09T18:11:08Z
dc.date.issued
2010
dc.identifier.uri
http://hdl.handle.net/20.500.11850/43411
dc.description.abstract
Ranks and explicit structure of some matrices in the Quantics Tensor Train format, which allows representation with logarithmic complexity in many cases, are investigated. The matrices under consideration are Laplace operator with various boundary conditions in D dimensions and inverse Laplace operator with Dirichlet and Dirichlet-Neumann boundary conditions in one dimension. The minimal-rank explicit QTT representations of these matrices presented are suitable for any high mode sizes and, in the multi-dimensional case, for any high dimensions.
dc.language.iso
en
dc.publisher
Max-Planck-Institut für Mathematik in den Naturwissenschaften
dc.subject
Tensor decompositions
dc.subject
Low-rank approximation
dc.subject
Quantics Tensor Train
dc.subject
QTT
dc.subject
Inverse Laplace operator
dc.title
On explicit QTT representation of Laplace operator and its inverse
dc.type
Report
ethz.journal.title
Preprint / Max-Planck-Institut
ethz.journal.volume
75
ethz.size
30 p.
ethz.notes
.
ethz.publication.place
Leipzig
ethz.publication.status
unpublished
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
ethz.date.deposited
2017-06-09T18:11:21Z
ethz.source
ECIT
ethz.identifier.importid
imp59364eca4780a76194
ethz.ecitpid
pub:71989
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-14T16:05:57Z
ethz.rosetta.lastUpdated
2018-10-01T15:03:52Z
ethz.rosetta.versionExported
true
ethz.COinS
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