Year: 2002
Author: Chuan-Qing Gu, Gong-Qing Zhu
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 207–216
Abstract
An axiomatic definition to bivariate vector valued rational interpolation on distinct plane interpolation points is at first presented in this paper. A two-variable vector valued rational interpolation formula is explicitly constructed in the following form: the determinantal formulas for denominator scalar polynomials and for numerator vector polynomials, which possess Lagrange-type basic function expressions. A practical criterion of existence and uniqueness for interpolation is obtained. In contrast to the underlying method, the method of bivariate Thiele-type vector valued rational interpolation is reviewed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8911
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 207–216
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Bivariate vector value Rational interpolation Determinantal formula.