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- Perron%E2%80%93Frobenius_theorem abstract "In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding eigenvector has strictly positive components, and also asserts a similar statement for certain classes of nonnegative matrices. This theorem has important applications to probability theory (ergodicity of Markov chains); to the theory of dynamical systems (subshifts of finite type); to economics (Okishio's theorem, Leontief's input-output model); to demography (Leslie population age distribution model), to Internet search engines and even ranking of football teams.".
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- Perron%E2%80%93Frobenius_theorem wikiPageExternalLink Chapter8.pdf.
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- Perron%E2%80%93Frobenius_theorem wikiPageID "1540333".
- Perron%E2%80%93Frobenius_theorem wikiPageRevisionID "629387217".
- Perron%E2%80%93Frobenius_theorem authorlink "Georg Frobenius".
- Perron%E2%80%93Frobenius_theorem authorlink "Oskar Perron".
- Perron%E2%80%93Frobenius_theorem first "D.A.".
- Perron%E2%80%93Frobenius_theorem first "Georg".
- Perron%E2%80%93Frobenius_theorem first "Oskar".
- Perron%E2%80%93Frobenius_theorem hasPhotoCollection Perron–Frobenius_theorem.
- Perron%E2%80%93Frobenius_theorem id "P/p072350".
- Perron%E2%80%93Frobenius_theorem last "Frobenius".
- Perron%E2%80%93Frobenius_theorem last "Perron".
- Perron%E2%80%93Frobenius_theorem last "Suprunenko".
- Perron%E2%80%93Frobenius_theorem year "1907".
- Perron%E2%80%93Frobenius_theorem year "1912".
- Perron%E2%80%93Frobenius_theorem subject Category:Markov_processes.
- Perron%E2%80%93Frobenius_theorem subject Category:Mathematical_and_quantitative_methods_(economics).
- Perron%E2%80%93Frobenius_theorem subject Category:Matrix_theory.
- Perron%E2%80%93Frobenius_theorem subject Category:Theorems_in_linear_algebra.
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- Perron%E2%80%93Frobenius_theorem type Proposition106750804.
- Perron%E2%80%93Frobenius_theorem type PsychologicalFeature100023100.
- Perron%E2%80%93Frobenius_theorem type Statement106722453.
- Perron%E2%80%93Frobenius_theorem type Theorem106752293.
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- Perron%E2%80%93Frobenius_theorem comment "In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding eigenvector has strictly positive components, and also asserts a similar statement for certain classes of nonnegative matrices.".
- Perron%E2%80%93Frobenius_theorem label "Perron–Frobenius theorem".
- Perron%E2%80%93Frobenius_theorem label "Satz von Perron-Frobenius".
- Perron%E2%80%93Frobenius_theorem label "Teorema de Perron-Frobenius".
- Perron%E2%80%93Frobenius_theorem label "Teorema di Perron-Frobenius".
- Perron%E2%80%93Frobenius_theorem label "Théorème de Perron-Frobenius".
- Perron%E2%80%93Frobenius_theorem label "Теорема Фробениуса — Перрона".
- Perron%E2%80%93Frobenius_theorem label "ペロン=フロベニウスの定理".
- Perron%E2%80%93Frobenius_theorem sameAs m.058_14.
- Perron%E2%80%93Frobenius_theorem sameAs Perron–Frobenius_theorem.
- Perron%E2%80%93Frobenius_theorem wasDerivedFrom Perron–Frobenius_theorem?oldid=629387217.
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