Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 윤정호 | * |
dc.date.accessioned | 2016-08-28T12:08:02Z | - |
dc.date.available | 2016-08-28T12:08:02Z | - |
dc.date.issued | 2011 | * |
dc.identifier.issn | 0096-3003 | * |
dc.identifier.other | OAK-7211 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/221296 | - |
dc.description.abstract | Radial basis function interpolation on a set of scattered data is constructed from the corresponding translates of a basis function, which is conditionally positive definite of order m ≥ 0, with the possible addition of a polynomial term. In many applications, the translates of a basis function are scaled differently, in order to match the local features of the data such as the flat region and the data density. Then, a fundamental question is the non-singularity of the perturbed interpolation (N × N) matrix. In this paper, we provide some counter examples of the matrices which become singular for N ≥ 3, although the matrix is always non-singular when N = 2. One interesting feature is that a perturbed matrix can be singular with rather small perturbation of the scaling parameter. © 2010 Elsevier Inc. All rights reserved. | * |
dc.language | English | * |
dc.title | Some issues on interpolation matrices of locally scaled radial basis functions | * |
dc.type | Article | * |
dc.relation.issue | 10 | * |
dc.relation.volume | 217 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 5011 | * |
dc.relation.lastpage | 5014 | * |
dc.relation.journaltitle | Applied Mathematics and Computation | * |
dc.identifier.doi | 10.1016/j.amc.2010.11.040 | * |
dc.identifier.wosid | WOS:000286045600016 | * |
dc.identifier.scopusid | 2-s2.0-78651314407 | * |
dc.author.google | Lee M.B. | * |
dc.author.google | Lee Y.J. | * |
dc.author.google | Sunwoo H. | * |
dc.author.google | Yoon J. | * |
dc.contributor.scopusid | 윤정호(57221276460) | * |
dc.date.modifydate | 20240118161402 | * |