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Найдено 8 публикаций
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Статья
Protasov V. Y. SIAM Journal on Matrix Analysis and Applications. 2013. Vol. 34. No. 3. P. 1174-1188.

We develop a new approach for characterizing $k$-primitive matrix families. Such families generalize the notion of a primitive matrix. They have been intensively studied in the recent literature due to applications to Markov chains, linear dynamical systems, and graph theory. We prove, under some mild assumptions, that a set of $k$ nonnegative matrices is either $k$-primitive or there exists a nontrivial partition of the set of basis vectors, on which these matrices act as commuting permutations. This gives a convenient classification of $k$-primitive families and a polynomial-time algorithm to recognize them. This also extends some results of Perron--Frobenius theory to nonnegative matrix families.

Добавлено: 19 февраля 2016
Статья
Nesterov Y., Protasov V. Y. SIAM Journal on Matrix Analysis and Applications. 2020. Vol. 41. No. 1. P. 1-28.
Добавлено: 30 июля 2020
Статья
Protasov V. Y., Guglielmi N. SIAM Journal on Matrix Analysis and Applications. 2016. Vol. 37. No. 1. P. 18-52.
Добавлено: 20 февраля 2016
Статья
Protasov V. Y., Cvetkovic A. SIAM Journal on Matrix Analysis and Applications. 2020. P. 1-31.
Добавлено: 30 июля 2020
Статья
Guglielmi N., Protasov V. Y. SIAM Journal on Matrix Analysis and Applications. 2018. Vol. 39. No. 4. P. 1642-1669.
Добавлено: 30 октября 2019
Статья
Nesterov Y., Protasov V. Y. SIAM Journal on Matrix Analysis and Applications. 2013. Vol. 34. No. 3. P. 999-1013.
Добавлено: 23 февраля 2016
Статья
Nesterov Y., Protasov V. SIAM Journal on Matrix Analysis and Applications. 2013. Vol. 34. No. 3. P. 999-1013.
Добавлено: 28 января 2016
Статья
Protasov V. Y., Logofet D. SIAM Journal on Matrix Analysis and Applications. 2014. Vol. 35. No. 2. P. 749-764.
Добавлено: 19 февраля 2016