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Characteristic polynomials of nonnegative real square matrices and generalized clique polynomials

✍ Scribed by Sylvain Lavallée


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
159 KB
Volume
433
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


Hoffman polynomials of nonnegative irred
✍ Yaokun Wu; Aiping Deng 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 367 KB

For a nonnegative n × n matrix A, we find that there is a polynomial f (x) ∈ R[x] such that f (A) is a positive matrix of rank one if and only if A is irreducible. Furthermore, we show that the lowest degree such polynomial f (x) with trf (A) = n is unique. Thus, generalizing the well-known definiti

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