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Continued fractions and the origins of the Perron–Frobenius theorem

✍ Scribed by Thomas Hawkins


Book ID
106087033
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
625 KB
Volume
62
Category
Article
ISSN
0003-9519

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📜 SIMILAR VOLUMES


A max version of the Perron-Frobenius th
✍ R.B. Bapat 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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