BIVARIATE LAGRANGE-TYPE VECTOR VALUED RATIONAL INTERPOLANTS

• 来源期刊: 计算数学（英文版）
• 关键词: Bivariate vector value Rational interpolation Determinantal formula.
• 年，卷（期）: 2002,（2）
• 页码范围: 207-216
• 页数: 10页
• 语种: 英文

摘要

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.