The cell matrix closest to a given Euclidean distance matrix

被引：3
|
作者：
Kurata, Hiroshi [1 ]
Tarazaga, Pablo [2 ]
机构：
[1] Univ Tokyo, Grad Sch Arts & Sci, Tokyo 1138654, Japan
[2] Texas A&M Univ, Dept Math & Stat, Corpus Christi, TX 78412 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 485卷
关键词：
Cell matrix; Euclidean distance matrix; Projection; Majorization;
D O I：
10.1016/j.laa.2015.07.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Cell matrix introduced by JakliC and Modic [6] is a special Euclidean distance matrix (EDM) that has a quite attractive and simple structure. It is of interest to approximate an EDM by a cell matrix. In this paper, we consider the problem of finding the cell matrix that is closest to a given EDM with respect to the Frobenius norm. The majorization ordering of the eigenvalues of a cell matrix is also discussed. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：194 / 207
页数：14
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