关于度量加一类几何不等式  

A class of geometric inequalities of metric addition.

作　　者：杨定华[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《浙江大学学报（理学版）》2009年第3期270-273,共4页Journal of Zhejiang University（Science Edition）

基　　金：四川省教育厅自然科学基金重点项目资助(07ZA087);四川师范大学校科研基金重点项目资助

摘　　要：度量加的方法用于解决某些几何极值问题是卓有成效的.利用杨路和张景中关于度量加不增加空间维数的充要条件,将度量加的一个基本的不等式推广到两个实相关有限点集的情形,它蕴涵了近期文献中的一些结果.The method of metric addition is essential for solving some problems of geometric extremum in distance geometry. By using a glass of matrix inequalities and a necessary and sufficient condition given by Yang L and Zhang J Z, of which the dimension of space does not increase with metric addition, the basic inequalities of metric addition in distance geometry is gerenalized to two finite point sets, a glass of geometric inequalities are obtained, in which some recent results are implied in distance geometry.

关 键 词：k-阶迹 正定HERMITE矩阵 单形 度量加 体积 几何不等式 

分 类 号：O184[理学—数学]