Using the division with remainder of polynomial, a recurrence algorithm for rational interpolation is presented. By this algorithm, all rational interpolating functions to the given data are given.

• 摘要针对给定的数据型值点，利用多项式带余除法，给出有理函数插值的一种新型递推算法，可以求出满足插值条件的所有有理插值函数，并举例说明其有效性。