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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Bivariate composite
vector valued rational interpolation


Authors: Jieqing Tan and Shuo Tang
Journal: Math. Comp. 69 (2000), 1521-1532
MSC (1991): Primary 41A20; Secondary 65D05
Published electronically: August 17, 1999
MathSciNet review: 1665971
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Abstract | References | Similar Articles | Additional Information

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.


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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

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01170-9
PII: S 0025-5718(99)01170-9
Keywords: Branched continued fraction, interpolation, algorithm
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.
Article copyright: © Copyright 2000 American Mathematical Society