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Rank of Hadamard powers of Euclidean distance matrices

✍ Scribed by Horvat, Boris; Jaklič, Gašper; Kavkler, Iztok; Randić, Milan

Book ID
121569800
Publisher
Springer
Year
2013
Tongue
English
Weight
171 KB
Volume
52
Category
Article
ISSN
0259-9791

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📜 SIMILAR VOLUMES

On the nonnegative rank of Euclidean dis
On the nonnegative rank of Euclidean distance matrices
✍ Matthew M. Lin; Moody T. Chu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 167 KB

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 .

Fractional Hadamard powers of positive s
Fractional Hadamard powers of positive semidefinite matrices
✍ P. Fischer; J.D. Stegeman 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 197 KB

We consider the class S n of all real positive semidefinite n × n matrices, and the subclass S + n of all A ∈ S n with non-negative entries. For a positive, non-integer number α and some A ∈ S + n , when will the fractional Hadamard power A ♦α again belong to S + n ? It is known that, for a specific