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Volume 20, Issue 2
Bivariate Lagrange-Type Vector Valued Rational Interpolants

Chuan-Qing Gu & Gong-Qing Zhu

J. Comp. Math., 20 (2002), pp. 207-216.

Published online: 2002-04

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  • 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.

  • Keywords

Bivariate vector value, Rational interpolation, Determinantal formula.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-20-207, author = {Gu , Chuan-Qing and Zhu , Gong-Qing}, title = {Bivariate Lagrange-Type Vector Valued Rational Interpolants}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8911.html} }
TY - JOUR T1 - Bivariate Lagrange-Type Vector Valued Rational Interpolants AU - Gu , Chuan-Qing AU - Zhu , Gong-Qing JO - Journal of Computational Mathematics VL - 2 SP - 207 EP - 216 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8911.html KW - Bivariate vector value, Rational interpolation, Determinantal formula. AB -

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.

Gu , Chuan-Qing and Zhu , Gong-Qing. (2002). Bivariate Lagrange-Type Vector Valued Rational Interpolants. Journal of Computational Mathematics. 20 (2). 207-216. doi:
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