Bivariate composite vector valued rational interpolation
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- by Jieqing Tan and Shuo Tang PDF
- Math. Comp. 69 (2000), 1521-1532 Request permission
Abstract:
In this paper we point out that bivariate vector valued rational interpolants (BVRI) have much to do with the vector-grid to be interpolated. When a vector-grid is well-defined, one can directly design an algorithm to compute the BVRI. However, the algorithm no longer works if a vector-grid is ill-defined. Taking the policy of “divide and conquer”, we define a kind of bivariate composite vector valued rational interpolant and establish the corresponding algorithm. A numerical example shows our algorithm still works even if a vector-grid is ill-defined.References
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Additional Information
- Jieqing Tan
- Affiliation: Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, P. R. China
- Email: jqtan@hfut.edu.cn
- Shuo Tang
- Affiliation: Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, P. R. China
- Received by editor(s): April 10, 1997
- Received by editor(s) in revised form: December 10, 1998
- Published electronically: August 17, 1999
- Additional Notes: Supported by the National Natural Science Foundation of China and in part by the Spanning- the-Century Foundation for Excellent Talents of the Ministry of the Machine Building Industry of China.
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 1521-1532
- MSC (1991): Primary 41A20; Secondary 65D05
- DOI: https://doi.org/10.1090/S0025-5718-99-01170-9
- MathSciNet review: 1665971