高维SP连分式逼近值序列的差别准则  

Criteria for Sequence of Approximants of SP Continued Fractions in Higher Dimensions

作　　者：王桦[1] 李永群[2] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076 [2]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《长沙理工大学学报（自然科学版）》2005年第2期77-81,共5页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(10271043)

摘　　要：利用Clifford矩阵将二维SP连分式的定义推广到高维SP连分式,并建立了连分式与M bius变换之间的关系.然后利用高维M bius变换的几何性质及高维M bius变换的Clfford矩阵表示,得到了关于高维SP连分式逼近值序列的两个差别准则.The definition of SP continued fractions in complex plane was generalized by using Clifford matrices,and some reations between the continued fractions and Mbius transformations were given.At last,two criteria for sequence of approximants of SP continued fractions which were based on some geometric properties of Mbius trnsformations in higher dimensions and their Clifford matrices were obtained.

关 键 词：差别准则 连分式 逼近值 MOEBIUS变换 高维 SP 序列 CLIFFORD矩阵 矩阵表示 几何性质 

分 类 号：O175.7[理学—数学] O173.2[理学—基础数学]