On the nonnegative rank of Euclidean distance matrices

Matthew M. Lin, Moody T. Chu

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The Euclidean distance matrix for n distinct points in Rr is generically of rank r + 2. It is shown in this paper via a geometric argument that its nonnegative rank for the case r = 1 is generically n.

Original languageEnglish
Pages (from-to)681-689
Number of pages9
JournalLinear Algebra and Its Applications
Volume433
Issue number3
DOIs
Publication statusPublished - 2010 Sep 1

All Science Journal Classification (ASJC) codes

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

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