@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} }