| A New Method of Constructing Bivariate Vector Valued Rational Interpolation Function |
| Received:October 17, 2009 Revised:January 12, 2011 |
| Key Words:
bivariate vector valued rational interpolation nonnegative integer parameter divide piece primary function interpolation formula.
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| Fund Project:Supported by Shanghai Natural Science Foundation (Grant No.10ZR1410900), Key Disciplines of Shanghai Municipality (Grant No.S30104), the Anhui Provincial Natural Science Foundation (Grant No.070416227) and Students' Innovation Foundation of Hefei University of Technology (Grant No.XS08079). |
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| Abstract: |
| At present, the methods of constructing vector valued rational interpolation function in rectangular mesh are mainly presented by means of the branched continued fractions. In order to get vector valued rational interpolation function with lower degree and better approximation effect, the paper divides rectangular mesh into pieces by choosing nonnegative integer parameters $ d_{1}~(0\leq d_{1}\leq m)$ and $d_{2}~(0\leq d_{2}\leq n)$, builds bivariate polynomial vector interpolation for each piece, then combines with them properly. As compared with previous methods, the new method given by this paper is easy to compute and the degree for the interpolants is lower. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.04.004 |
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