安庆师范学院学报（自然科学版）2016，Vol.22Issue(4)：8-10,3.DOI:10.13757/j.cnki.cn34-1150/n.2016.04.003
预给极点的连分式插值
Continued Fraction Interpolation with Prescribed Poles
摘要
Abstract
An algorithm is given to calculate the continued fraction interpolant with prescribed poles. By means of multiplying each interpolated value by a certain number, interpolation with prescribed poles is transformed into the one without prescribed poles. The Thiele-type continued fraction interpolant is constructed based on inverse differences. Finally, the continued fraction interpolant with prescribed poles is obtained and has been prescribed poles with intrinsic multiplicity. An example is given to show the advantage of the new method.关键词
连分式/插值/预给极点/重数/逆差商Key words
continued fraction/interpolation/prescribed poles/multiplicity/inverse differences分类
数理科学引用本文复制引用
张澜,赵前进..预给极点的连分式插值[J].安庆师范学院学报（自然科学版）,2016,22(4):8-10,3.基金项目
国家自然科学基金(60973050)和安徽省教育厅自然科学基金(KJ2009A50)。 （60973050）
