### Parameter method of constructing rational interpolating function

SUN Meilan1, ZHU Gongqin2, XIE Jin1

1. 1.Department of Mathematics and Physics, Hefei University, Hefei 230601, China
2.School of Computer and Information, Hefei University of Technology, Hefei 230009, China
• Online:2014-10-01 Published:2014-09-29

### 构造有理插值函数的一种参数法

1. 1.合肥学院 数学与物理系，合肥 230601
2.合肥工业大学 计算机与信息学院，合肥 230009

Abstract: There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values [f(xi),i=0,1,?,m+n]of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial is “N”. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameter “d” is introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.