A remark on the faces of the cone of Euclidean distance matrices

被引：4
|
作者：
Alfakih, AY [1 ]
机构：
[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 414卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Euclidean distance matrices; gale transform; cones;
D O I：
10.1016/j.laa.2005.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new characterization of the faces of the cone of Euclidean distance matrices (EDMs) was recently obtained by Tarazaga in terms of LGS(D), a special subspace associated with each EDM D. In this note we show that LGS(D) is nothing but the Gale subspace associated with EDMs. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：266 / 270
页数：5
相关论文
共 50 条
  • [31] ON THE MOVE: LOCALIZATION WITH KINETIC EUCLIDEAN DISTANCE MATRICES
    Tabaghi, Puoya
    Dokmanic, Ivan
    Vetterli, Martin
    2019 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2019, : 4893 - 4897
  • [32] Structural Properties of Faces of the Cone of Copositive Matrices
    Kostyukova, Olga
    Tchemisova, Tatiana
    MATHEMATICS, 2021, 9 (21)
  • [33] COORDINATE SHADOWS OF SEMIDEFINITE AND EUCLIDEAN DISTANCE MATRICES
    Drusvyatskiy, Dmitriy
    Pataki, Gabor
    Wolkowicz, Henry
    SIAM JOURNAL ON OPTIMIZATION, 2015, 25 (02) : 1160 - 1178
  • [34] On the Coherence Properties of Random Euclidean Distance Matrices
    Kalogerias, Dionysios S.
    Petropulu, Athina P.
    2013 IEEE 14TH WORKSHOP ON SIGNAL PROCESSING ADVANCES IN WIRELESS COMMUNICATIONS (SPAWC), 2013, : 754 - 758
  • [35] EUCLIDEAN AND CIRCUM-EUCLIDEAN DISTANCE MATRICES: CHARACTERIZATIONS AND LINEAR PRESERVERS
    Li, Chi-Kwong
    Milligan, Thomas
    Trosset, Michael W.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 739 - 752
  • [36] Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property
    Jeyaraman, I.
    Divyadevi, T.
    LINEAR & MULTILINEAR ALGEBRA, 2024,
  • [37] Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices
    Tarazaga, Pablo
    Sterba-Boatwright, Blair
    Wijewardena, Kithsiri
    COMPUTATIONAL & APPLIED MATHEMATICS, 2007, 26 (03): : 415 - 438
  • [38] Euclidean distance matrices: Special subsets, systems of coordinates and multibalanced matrices
    Department of Computing and Mathematical Sciences, Texas A and M University, Corpus Christi, TX 78412, United States
    Comput. Appl. Math., 2007, 3 (415-438):
  • [39] Euclidean Distance Between Haar Orthogonal and Gaussian Matrices
    Gonzalez-Guillen, C. E.
    Palazuelos, C.
    Villanueva, I.
    JOURNAL OF THEORETICAL PROBABILITY, 2018, 31 (01) : 93 - 118
  • [40] Characterization of multispherical and block structures of Euclidean distance matrices
    Kurata, Hiroshi
    Matsuura, Shun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) : 3177 - 3183
12345