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A note on the theorems of Jentzsch-Perron and Frobenius

โœ Scribed by J.J. Grobler


Book ID
108047011
Publisher
Elsevier Science
Year
1987
Weight
726 KB
Volume
90
Category
Article
ISSN
1385-7258

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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