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Some Applications of Transition Matrices via Eigen Values

Authors: Adil AL-Rammahi


In this short paper, new properties of transition matrix were introduced. Eigen values for small order transition matrices are calculated in flexible method. For benefit of these properties applications of these properties were studied in the solution of Markov's chain via steady state vector, and information theory via channel entropy. The implemented test examples were promised for usages.

Keywords: Information Theory, Eigen value problem, transition matrix, state vector

Digital Object Identifier (DOI):

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[1] W. Chen, K.G. Wang p, G. Xiao, "Applications of Generalized Transition Matrix to linear Straight Wires”, ICMMT, 2010, pp. 84-87.
[2] K. Alexander & S. Marina, "Regularization Algorithms for Transition Matrices”, Algorithm Research Quarterly, 4,2, 2001, pp. 23-40.
[3] O.A. Bauchau , "An Implicit Floquet Analysis for Rotorcraft Stability Evaluation”, American Helicopter Society, 46, 2001, pp. 200-209.
[4] S. Boy, "Fastest Mixing Markov Chain in a Graph”, Siam , 46,4, 2004, pp. 667-689.
[5] S. Shieh, "Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy, Entropy”, 13, 2011, pp. 2036-2048.
[6] B. Kolman, "Introductory Linear Algebra with Applications”, 4e, Macmilan, New York, 1984.