Characterization of multispherical and block structures of Euclidean distance matrices

Hiroshi Kurata, Shun Matsuura

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper presents some new characterizations of Euclidean distance matrices (EDMs) of special structures. More specifically, we discuss multispherical and block-structured EDMs, each of which can be viewed as a generalization of spherical EDM. We focus on a well-known inequality that characterizes spherical EDMs and extend it to the sets of multispherical and block-structured EDMs. Some related results are also presented.

本文言語English
ページ(範囲)3177-3183
ページ数7
ジャーナルLinear Algebra and Its Applications
439
10
DOI
出版ステータスPublished - 2013 11 15

ASJC Scopus subject areas

  • 代数と数論
  • 数値解析
  • 幾何学とトポロジー
  • 離散数学と組合せ数学

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