Perron–Frobenius theorem

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In matrix theory, the Perron–Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real.

Excerpt from the Wikipedia article “Perron–Frobenius theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia