Effective Method for Constructing Pseudo-Random Vectors Uniformly Distributed in Cone

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In this paper we propose an algorithm for efficient production of pseudo-random vectors uniformly distributed in an n-dimensional cone. The method shows higher efficiency compared to the process of elimination in the case of large dimensions. The results of computer experiments confirm the theoretical construct.

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852-856

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February 2016

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] L.A. Rastrigin, Stohasticheskie metody poiska, Nauka, Moscow, (1968).

Google Scholar

[2] L.A. Rastrigin, Adaptacija slozhnyh system, Zinatne, Riga, (1981).

Google Scholar

[3] P. Stakhiv, I. Strubytska, Yu. Kozak, Parallelization of calculations using GPU in optimization approach for macromodels construction, Przegląd Elektrotechniczny (Electrical Review). 88, 3a (2012) 7-9.

Google Scholar

[4] L. Byczkowska-Lipińska, P. Stakhiv, Yu. Kozak, Acceleration of the parameters identification for dynamic models construction using parallelization, Computational Problems of Electrical Engineering. 2, 2 (2012) 7-12.

Google Scholar

[5] X. Zhu, J. Ding, H. Dong, K. Hu, X. Zhang, Normalized correlation-based quantization modulation for robust watermarking, IEEE Transactions on Multimedia. 16, 7 (2014) 1888-(1904).

DOI: 10.1109/tmm.2014.2340695

Google Scholar

[6] T. G. Kolda, R.M. Lewis, V. Torczon, Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods, Siam Review. 45, 3 (2003) 385-482.

DOI: 10.1137/s003614450242889

Google Scholar

[7] I. Ye. Davydov, Using random search method for the task of modal formation of dynamic properties of the «carrier rocket – stabilization automaton» system, Vestnik Samarskogo Gosudarstvennogo Ajerokosmicheskogo Universiteta. 1 (2007) 31-36.

Google Scholar

[8] S.M. Ermakov, G.A. Mihajlov, Statisticheskoe Modelirovanie, Fizmatlit, Moscow, (1982).

Google Scholar