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A study on multivariate interpolation by increasingly flat kernel functions

Title
A study on multivariate interpolation by increasingly flat kernel functions
Authors
Lee, Yeon JuMicchelli, Charles A.Yoon, Jungho
Ewha Authors
윤정호
SCOPUS Author ID
윤정호scopus
Issue Date
2015
Journal Title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN
0022-247XJCR Link1096-0813JCR Link
Citation
vol. 427, no. 1, pp. 74 - 87
Keywords
Collocation matrixWronskianMultivariate kernel interpolationCauchy-Binet formulaRadial basis functionl'Hospital's rule
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Indexed
SCI; SCIE; SCOPUS WOS
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.
DOI
10.1016/j.jmaa.2015.02.006
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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