DC Field
Value
Language
dc.contributor.author
Angleitner, Niklas
-
dc.contributor.author
Faustmann, Markus
-
dc.contributor.author
Melenk, Jens Markus
-
dc.date.accessioned
2023-12-19T10:13:24Z
-
dc.date.available
2023-12-19T10:13:24Z
-
dc.date.issued
2023-12
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">Angleitner, N., Faustmann, M., &#38; Melenk, J. M. (2023). H-inverses for RBF interpolation. <i>Advances in Computational Mathematics</i>, <i>49</i>(6), Article 85. https://doi.org/10.1007/s10444-023-10069-5</div> </div>
-
dc.identifier.issn
1019-7168
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/190430
-
dc.description.abstract
We consider the interpolation problem for a class of radial basis functions (RBFs) that includes the classical polyharmonic splines (PHS). We show that the inverse of the system matrix for this interpolation problem can be approximated at an exponential rate in the block rank in the H-matrix format, if the block structure of the H-matrix arises from a standard clustering algorithm.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.language.iso
en
-
dc.publisher
Springer
-
dc.relation.ispartof
Advances in Computational Mathematics
-
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
-
dc.subject
Radial basis function interpolation
en
dc.subject
H-matrices
en
dc.subject
Approximability
en
dc.subject
Non-uniform point clouds
en
dc.title
H-inverses for RBF interpolation
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.relation.grantno
P 28367-N35
-
dc.rights.holder
© The Author(s) 2023
-
dc.type.category
Original Research Article
-
tuw.container.volume
49
-
tuw.container.issue
6
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.project.title
Analysis der H-Matrix-Inversion
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Advances in Computational Mathematics
-
tuw.publication.orgunit
E101-02-1 - Forschungsgruppe Computational Mathematics
-
tuw.publisher.doi
10.1007/s10444-023-10069-5
-
dc.date.onlinefirst
2023-11-23
-
dc.identifier.articleid
85
-
dc.identifier.eissn
1572-9044
-
dc.identifier.libraryid
AC17202430
-
dc.description.numberOfPages
46
-
tuw.author.orcid
0000-0002-0081-1650
-
tuw.author.orcid
0000-0001-9024-6028
-
dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
dc.description.sponsorshipexternal
Austrian Science Fund (FWF)
-
dc.relation.grantnoexternal
F65
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.openaccessfulltext
Open Access
-
item.cerifentitytype
Publications
-
item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.grantfulltext
open
-
item.fulltext
with Fulltext
-
item.mimetype
application/pdf
-
item.openairetype
research article
-
crisitem.author.dept
E101-02-1 - Forschungsgruppe Computational Mathematics
-
crisitem.author.dept
E101-02 - Forschungsbereich Numerik
-
crisitem.author.dept
E101-02-1 - Forschungsgruppe Computational Mathematics
-
crisitem.author.orcid
0000-0001-9024-6028
-
crisitem.author.parentorg
E101-02 - Forschungsbereich Numerik
-
crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
-
crisitem.author.parentorg
E101-02 - Forschungsbereich Numerik
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
P 28367-N35
-
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