摘要
在解决反插值问题时,本文首次利用Thiele型连分式有理插值,得到了两种十分有效的方法:函数插值的有理反插法和反函数的有理插值法,同多项式反插值相比有较好的效果.数值例子说明了在解代数方程时有理反插法优于多项式反插法.
We get two more effective methods： the rational inverse interpolation of function interpolation and the rational interpolation of inverse function when solve the inverse interpolation problem by using Thiele-type continued fractions interpolation and compare them to polynomial inverse interpolation. A numerical example is given to show the effectiveness of the results in applying them to solve algebraic equation.
出处
《大学数学》
2009年第5期88-90,共3页
College Mathematics
基金
安徽省自然科学基金(070416227)
安徽省教育厅重点教研项目(2008JYXM054)
关键词
Thiele型连分式
反插值
反差商
Thiele-type continued fractions
inverse interpolation
inverse difference
