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The Perron-Frobenius theorem in relative spectral theory

โœ Scribed by C. Bidard; M. Zerner


Publisher
Springer
Year
1991
Tongue
English
Weight
787 KB
Volume
289
Category
Article
ISSN
0025-5831

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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