Newton basis for multivariate Birkhoff interpolation |
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Authors: | Xiaoying Wang Shugong ZhangTian Dong |
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Institution: | School of Mathemathics, Key Lab. of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012, PR China |
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Abstract: | Multivariate Birkhoff interpolation is the most complex polynomial interpolation problem and people know little about it so far. In this paper, we introduce a special new type of multivariate Birkhoff interpolation and present a Newton paradigm for it. Using the algorithms proposed in this paper, we can construct a Hermite system for any interpolation problem of this type and then obtain a Newton basis for the problem w.r.t. the Hermite system. |
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Keywords: | 65D05 41A10 |
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