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 - <p style="text-align: justify;">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.</p>