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A study on multivariate interpolation by increasingly flat kernel functions
- Issue Date
- 1-7월-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Collocation matrix; Wronskian; Multivariate kernel interpolation; Cauchy-Binet formula; Radial basis function; l' Hospital' s rule
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.427, no.1, pp.74 - 87
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 427
- Number
- 1
- Start Page
- 74
- End Page
- 87
- ISSN
- 0022-247X
- 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.
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