Perron–Frobenius theorem
Teorema de Perron-Frobenius
- Date
- 1907-1912 · confidence high
- Place
- Tübingen, Baden-Württemberg, Germany
- Credited to
- Ferdinand Georg Frobenius y Oskar Perron
- Field
- Knowledge & symbols
What was discovered
Theorem about matrices with positive entries, proved in its first part by Oskar Perron in 1907 and extended by Ferdinand Georg Frobenius in 1912 to certain classes of nonnegative matrices.
What it led to
- Key tool in Markov chains and economic growth models
- Mathematical basis for algorithms such as PageRank
- Applications in population dynamics and economics