Recent advances in linear barycentric rational interpolation

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• 作者：Jean-Paul Berrut ; Georges Klein
• 关键词：65D05 ; 65D15 ; 41A20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：15 March, 2014
• 年：2014
• 卷：259
• 期：part_PA
• 页码：95-107
• 全文大小：862 K

文摘

Well-conditioned, stable and infinitely smooth interpolation in arbitrary nodes is by no means a trivial task, even in the univariate setting considered here; already the most important case, equispaced points, is not obvious. Certain approaches have nevertheless experienced significant developments in the last decades. In this paper we review one of them, linear barycentric rational interpolation, as well as some of its applications.