The Fitzpatrick-Neville-Type Algorithm for Multivariate Vector-Valued Osculatory Rational Interpolation |
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| Authors: | XIA Peng;ZHANG Shugong;LEI Na;KIM Zhangyong; |
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| Institution: | XIA Peng;ZHANG Shugong;LEI Na;KIM Zhangyong;School of Mathematics,Liaoning University;Automated Reasoning and Cognition Key Laboratory of Chongqing;School of Mathematics,Key Laboratory of Symbolic Computation and Knowledge Engineering(Ministry of Education),Jilin University; |
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| Abstract: | In this paper,the authors first apply the Fitzpatrick algorithm to multivariate vectorvalued osculatory rational interpolation.Then based on the Fitzpatrick algorithm and the properties of an Hermite interpolation basis,the authors present a Fitzpatrick-Neville-type algorithm for multivariate vector-valued osculatory rational interpolation.It may be used to compute the values of multivariate vector-valued osculatory rational interpolants at some points directly without computing the interpolation function explicitly. |
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