A Relaxation Scheme for Computation of the Joint Spectral Radius of Matrix Sets, Journal of Difference Equations and Applications, Volume 17 Issue 2, February 2011, 183-201 (Victor Kozyakin. (c) Taylor & Francis, 2011. This is the author’s version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution).
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2010 г.
Авторы: Cross R., Kozyakin V., O'Callaghan B., Pokrovskii A., Pokrovskiy A.
Periodic Sequences of Arbitrage: A Tale of Four Currencies, University of Strathclyde Business School, Department of Economics in its series Working Papers, 2010, No. 10-19, 30 pp. (preliminary version) Перейти к публикации
Irreducibility measures in explicit estimation of the joint spectral radius. SciTopics (Research summaries by experts). July 15, 2010, http://www.scitopics.com/Irreducibility_measures_in_explicit_estimation_of_the_joint_spectral_radius.html
2010 г.
Авторы: Kozyakin V., Pokrovskii A., O'Callaghan B.
Sequences of Arbitrages, ArXiv.org e-Print archive, Apr. 2010, 18p. Перейти к публикации
Max-Relaxation Iteration Procedure for Building of Barabanov Norms: Convergence and Examples, ArXiv.org e-Print archive, Feb. 2010, 21p. Перейти к публикации
Polynomial Criteria for the v-Sufficiency of Jets in Classes of Finitely Smooth Mappings, Doklady Mathematics, 2010, Vol. 81, No. 1, pp. 101–104 (original Russian text published in Doklady Akademii Nauk, 2010, Vol. 430, No. 5, pp. 596–599). Загрузить (205.5 KB)
An explicit Lipschitz constant for the joint spectral radius, Linear Algebra and Applications, Applications, 2010, 433, No. 1, 12-18. Перейти к публикацииЗагрузить (119.5 KB)
Polynomial reformulation of the Kuo criteria for v-sufficiency of map-germs, Discrete and Continuous Dynamical Systems Series B, 14, No. 2, September 2010, 587-602. Перейти к публикацииЗагрузить (260.2 KB)
On Explicit A Priori Estimates of the Joint Spectral Radius by the Generalized Gelfand Formula, Differential
Equations and Dynamical Systems, Vol. 18, Nos. 1 & 2, January & April, 2010, pp. 91–103.
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Iterative Building of Barabanov Norms and Computation of the Joint Spectral Radius for Matrix Sets, Discrete and Continuous Dynamical Systems Series B, 14, No. 1, July 2010, 143-158. Перейти к публикацииЗагрузить (321 KB)
On Accuracy of Approximation of the Spectral Radius by the Gelfand Formula, Linear Algebra and its Applications, 2009, 431, No. 11, 2134–2141. Перейти к публикацииЗагрузить (128.2 KB)
Asymptotics of the Arnold tongues in problems at infinity, Discrete and Continuous Dynamical Systems- Series A, 2008, 20, №4, 989-1011. Загрузить (328 KB)