Characterization of multispherical and block structures of Euclidean distance matrices

Hiroshi Kurata, Shun Matsuura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3177-3183
Number of pages7
JournalLinear Algebra and Its Applications
Volume439
Issue number10
DOIs
Publication statusPublished - 2013 Nov 15

Keywords

  • Characterization
  • Euclidean distance matrix
  • Positive semidefinite matrix

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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