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
✦ LIBER ✦
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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