摘要
通过引进新的参数,将对称型插值的一般框架作进一步推广和改进,新的插值框架包含更为丰富的插值格式;给出几种新形式的对称型有理插值格式;最后,将结果推广到向量值及矩阵值情形.
A new symmetry general frame is established by introducing multiple parameters,which is extensions and improvements of those for the general frames studied by Tan and Fang,the new symmetry general frame included many interpolation formula.We give several symmetry rational interpolation of new form and extend the conclusion to vector valued and matrix valued case.
出处
《应用数学与计算数学学报》
2011年第1期111-118,126,共9页
Communication on Applied Mathematics and Computation
基金
安徽省教育厅重点项目(KJ2008A027)
高等学校省级优秀青年人才基金项目(2009SQRZ156)
安徽省教育厅自然科学一般项目(KJ2010B182)
合肥学院自然科学基金资助项目(11KY06ZR)
关键词
对称型连分式
关联连分式
Newton插值
Thiele连分式插值
插值框架
symmetry continued fraction
associated continued fraction
Newton interpolation
Thiele-type continued fraction interpolation
general frame
