On the eigenvalues of Euclidean distance matrices

被引：0
作者：
Alfakih, A. Y. [1 ]
机构：
[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2008年 / 27卷 / 03期
关键词：
Euclidean distance matrices; eigenvalues; equitable partitions; characteristic polynomial;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructing cospectral EDMs and EDMs with exactly three distinct eigenvalues.
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页码：237 / 250
页数：14
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