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Optimal life histories: A generalisation of the Perron-Frobenius theorem

โœ Scribed by John M. McNamara


Book ID
116072048
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
794 KB
Volume
40
Category
Article
ISSN
0040-5809

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A max version of the Perron-Frobenius th
โœ R.B. Bapat ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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