On the nonnegative rank of Euclidean distance matrices

Matthew M. Lin, Moody T. Chu

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)681-689
頁數9
期刊Linear Algebra and Its Applications
433
發行號3
DOIs
出版狀態Published - 2010 九月 1

All Science Journal Classification (ASJC) codes

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

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