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The generalized monotonicity property of the Perron root

✍ Scribed by Yu. A. Al’pin; L. Yu. Kolotilina


Publisher
Springer US
Year
2007
Tongue
English
Weight
155 KB
Volume
141
Category
Article
ISSN
1573-8795

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Some closer bounds of Perron root basing
✍ Zhi-Ming Yang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 322 KB

This paper is concerned with the bounds of the Perron root ρ(A) of a nonnegative irreducible matrix A. Two new methods utilizing the relationship between the Perron root of a nonnegative irreducible matrix and its generalized Perron complements are presented. The former method is efficient because