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对称型插值框架的注记
引用本文:邹乐,唐烁.对称型插值框架的注记[J].应用数学与计算数学学报,2011,25(1):111-118,126.
作者姓名:邹乐  唐烁
作者单位:1. 合肥学院计算机科学与技术系,合肥230601
2. 合肥工业大学数学学院,合肥,230009
基金项目:安徽省教育厅重点项目,高等学校省级优秀青年人才基金项目,安徽省教育厅自然科学一般项目,合肥学院自然科学基金资助项目
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.

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

Note on general frames of symmetry interpolation
ZOU Le,TANG Shuo.Note on general frames of symmetry interpolation[J].Communication on Applied Mathematics and Computation,2011,25(1):111-118,126.
Authors:ZOU Le  TANG Shuo
Institution:ZOU Le~(1,2),TANG Shuo~3 (1.Department of Computer Science and Technology,Hefei University,Hefei 230601,China,2.Key Lab of Network and Intelligent Information Processing,3.College of Mathematics,Hefei University of Technology,Hefei 230009,China)
Abstract: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.
Keywords:symmetry continued fraction  associated continued fraction  Newton interpolation  Thiele-type continued fraction interpolation  general frame
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