| 关于度量加一类几何不等式 |
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| 引用本文： | 杨定华.关于度量加一类几何不等式[J].浙江大学学报(理学版),2009,36(3):270-273. |
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| 作者姓名： | 杨定华 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省教育厅自然科学基金重点项目，四川师范大学校科研基金重点项目 |
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| 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．
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| 关 键 词： | k-阶迹 正定Hermite矩阵 单形 度量加 体积 几何不等式 |
A class of geometric inequalities of metric addition. |
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| YANG Ding-hua.A class of geometric inequalities of metric addition.[J].Journal of Zhejiang University(Sciences Edition),2009,36(3):270-273. |
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| Authors: | YANG Ding-hua |
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| Institution: | College of Mathematics and Software Sciences;Sichuan Normal University;Chengdu 610066;China |
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| Abstract: | 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. |
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| Keywords: | k-order trace positive definite Hermite matrix simplex metric addition volume geometric inequality |
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