【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.更多还原

【Abstract】 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.更多还原