伪对称集的一个代数特征及度量加性质

An Algebraic Characterization and Metric Sum Property on Pseudo-Symmetric Set

中文关键词:  密集椭球  伪对称集  度量加  特征值  不等式.

英文关键词:ellipsoid of inertia  Pseudo-symmetric set  metric sum  eigenvalue  inequality.

中文摘要:

      本文证明了球面有限点集的伪对称性可以完全由其特征多项式的根来刻画，并得到了在度量加运算下伪对称性具有封闭性.

英文摘要:

      In this paper, we show that the Pseudo-Symmetric property of spherical point set can be characterized by the eigen values of eigenpolynomial and it has the closeness under the metric sum operation.