A study on multivariate interpolation by increasingly flat kernel functions
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Yeon Ju | - |
dc.contributor.author | Micchelli, Charles A. | - |
dc.contributor.author | Yoon, Jungho | - |
dc.date.accessioned | 2021-09-04T14:22:45Z | - |
dc.date.available | 2021-09-04T14:22:45Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2015-07-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/93049 | - |
dc.description.abstract | In this paper, we improve upon some observations made in recent papers on the subject of increasingly flat interpolation. We shall establish that the corresponding Lagrange functions converge both for a finite set of functions (collocation matrix) and also for kernels (Fredholm matrix). In our analysis, we use a finite Maclaurin expansion of a multivariate function with remainder and some additional matrix theoretic facts. (C) 2015 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | RADIAL BASIS FUNCTION | - |
dc.subject | CONVERGENCE | - |
dc.subject | LIMIT | - |
dc.title | A study on multivariate interpolation by increasingly flat kernel functions | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Lee, Yeon Ju | - |
dc.identifier.doi | 10.1016/j.jmaa.2015.02.006 | - |
dc.identifier.scopusid | 2-s2.0-84924050402 | - |
dc.identifier.wosid | 000359873000006 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.427, no.1, pp.74 - 87 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 427 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 74 | - |
dc.citation.endPage | 87 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | RADIAL BASIS FUNCTION | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | LIMIT | - |
dc.subject.keywordAuthor | Collocation matrix | - |
dc.subject.keywordAuthor | Wronskian | - |
dc.subject.keywordAuthor | Multivariate kernel interpolation | - |
dc.subject.keywordAuthor | Cauchy-Binet formula | - |
dc.subject.keywordAuthor | Radial basis function | - |
dc.subject.keywordAuthor | l&apos | - |
dc.subject.keywordAuthor | Hospital&apos | - |
dc.subject.keywordAuthor | s rule | - |
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