摘要
本文讨论了一种特殊的关联连分式插值及其逼近,得到了这种插值的特征定理、唯一性定理及误差估计,并获得了Viscovatov型算法.数值例子说明了本文方法的有效性。
We discuss a special associated continued fractions interpolation and approximation. Characteristie theorem and unique theorem are obtained,we also acquire the corresponding power series and Viscovatov-like algorithm. Error estimation is worked out and numerical example is given to show the effectiveness of the results in this paper.
出处
《合肥师范学院学报》
2008年第6期1-6,共6页
Journal of Hefei Normal University
基金
supported by the Anhui Provincial Natural Science Foundation(No.070416227)
the Natural Science Foundation of Anhui Provincial Education Depart ment under Grant(No.KJ2008A027)
关键词
关联连分式
有理插值
Viscovatov型算法
associated continued fractions
Viscovatov-like algorithm
rational interpolation
inverse differences
divided differences
