【摘要】 <正>1引言众所周知,有理插值是非线性逼近的一种重要方法,但由于其复杂性,主要表现在有理插值问题有解是有条件的或者说有理插值问题不是总是有解的.熟知的有理插值格式(包括向量有理插值、矩阵有理插值)函数构造方法,都是假定有理插值问题有解的条件下给出的,为实际应用带来一定的困难.目前,构造有理插值常用方法之一是基于连分式给出的,应用混合方法或分块方更多还原

【Abstract】 Laid foundation on the advantages of the simple expressions,easy to calculate of continued fractions and small calculation quantity,no poles,good numerical stability of barvcentric rational interpolants.bivariate blending rational interpolation are constructed based on Thiele-type continued fraction interpolation and Barycentric rational interpolants.The new blending rational interpolation inherits the advantages of the continued fraction interpolation and the barycentric interpolate,and the error estimation is given.Numerical example is given to show the correctness and effectiveness of the new method.更多还原