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.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
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
关键词
k-阶迹
正定HERMITE矩阵
单形
度量加
体积
几何不等式
k-order trace
positive definite Hermite matrix
simplex
metric addition
volume
geometric inequality
