| Modified Thiele-Werner Rational Interpolation |
| Received:April 16, 2008 Revised:June 30, 2009 |
| Key Words:
interpolation modified Thiele-Werner algorithm unattainable point.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.60473114) and the Natural Science Foundation of Anhui Province (Grant No.070416227). |
| Author Name | Affiliation | | Chang Wen LI | Department of Mathematics, Huaibei Normal University, Anhui $235000$, P. R. China
Department of Mathematics, Hefei University of Technology, Anhui $230009$, P. R. China | | Xiao Lin ZHU | Department of Mathematics, Hefei University of Technology, Anhui $230009$, P. R. China | | Le ZOU | Department of Mathematics, Hefei University of Technology, Anhui $230009$, P. R. China |
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| Abstract: |
| Through adjusting the order of interpolation nodes, we gave a kind of modified Thiele-Werner rational interpolation. This interpolation method not only avoids the infinite value of inverse differences in constructing the Thiele continued fraction interpolation, but also simplifies the interpolating polynomial coefficients with constant coefficients in the Thiele-Werner rational interpolation. Unattainable points and determinantal expression for this interpolation are considered. As an extension, some bivariate analogy is also discussed and numerical examples are given to show the validness of this method. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.04.010 |
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