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On non-linear extensions of the Perron-Frobenius theorem

✍ Scribed by Kali Rath


Book ID
107949656
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
267 KB
Volume
15
Category
Article
ISSN
0304-4068

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A max version of the Perron-Frobenius th
✍ R.B. Bapat πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 916 KB

If A is an n x n nonnegative, irreducible matrix, then there exists /L(A) > 0. and a positive vector x such that max,a,,x, = &4)x,. i = 1,2. n. Furthermore, ,n(A) is the maximum geometric mean of a circuit in the weighted directed graph corresponding to A. This theorem, which we refer to as the max