A study on multivariate interpolation by increasingly flat kernel functions
- 주제(키워드) Collocation matrix , Wronskian , Multivariate kernel interpolation , Cauchy-Binet formula , Radial basis function , l'Hospital's rule
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000119352
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2015.02.006
초록/요약
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.
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