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A note on some properties of the Perron root of nonnegative irreducible matrices

✍ Scribed by Holger Boche; Sławomir Stańczak


Publisher
Springer
Year
2007
Tongue
English
Weight
187 KB
Volume
18
Category
Article
ISSN
0938-1279

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The lower and upper bounds on Perron roo
✍ Guang-Xin Huang; Feng Yin; Ke Guo 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 155 KB

Let A be an n × n nonnegative irreducible matrix, let A[ ] be the principal submatrix of A based on the nonempty ordered subset of {1, 2, . . . , n}, and define the generalized Perron complement of A[ ] by P t (A/A[ ]), i.e., This paper gives the upper and lower bounds on the Perron root of A. An u