顾传青.关于广义逆的向量连分式插值样条(英文)[J].数学研究及应用,1999,19(1):1~8
关于广义逆的向量连分式插值样条(英文)
On Generalized Inverse Vector Valued Continued Fraction Interpolation Splines
投稿时间:1996-03-19  
DOI:10.3770/j.issn:1000-341X.1999.01.001
中文关键词:  
英文关键词:vectors  continued fractions  rational splines
基金项目:
作者单位
顾传青 上海大学数学系 
摘要点击次数: 2805
全文下载次数: 1202
中文摘要:
      本文首次引入了关于广义逆的向量有理插值样条的概念.这类插值样条具有Thiele型连分式的截断分式的表现形式.在它的构造过程中,不必用到连分式的三项递推关系,本文得到的新的有效的系数算法具有递推运算的特点.存在性的一个充分条件得以建立.包括唯一性在内的有关插值问题的某些结果得到证明.最后,本文给出了一个精确的插值误差公式.
英文摘要:
      The definition of vector valned continned fraction interpolating splines is at first introduced by means of generalized inverse of a vector. In the computation of the interpolating splines,which are of representation of the convergences for Thiele-type continned fraction.the three relation is avioded and a new effective recursive algorithm is constrncted. A sufficient condition for existence is given. Some interpolation results incluing uniqueness are given. In the end. a exact interpolation remainder formula is obtained.
查看全文  查看/发表评论  下载PDF阅读器