✦ LIBER ✦

On the nonnegative rank of Euclidean distance matrices

✍ Scribed by Matthew M. Lin; Moody T. Chu

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 167 KB
Volume: 433
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.03.038

No coin nor oath required. For personal study only.

✦ Synopsis

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

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