关于有理插值函数存在性的研究

The Study on the Existence for Rational Interpolation

在本文中 ,我们利用 Newton插值多项式 ,改进了 [1 ]中的方法 ,使其能更简便 ,快速 ,严谨地判别有理插值函数的存在性 ,并在其存在时给出相应的插值有理函数的具体表达式 .

In this paper, we give a method for testing the existence for the rational interpolation with Newton interpolating polynomial, and present an expression of the corresponding rational interpolant when the latter exists. In comparison with the method in , our method is simpler and more quickly.