Geodesic
An approach for determining the matrix of limiting state probabilities in discrete Markov processes
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 77-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new approach for determining the matrix of limiting state probabilities in Markov processes is proposed and a polynomial time algorithm for calculating this matrix is grounded. The computational complexity of the algorithm is $O(n^4)$, where $n$ is the number of the states of the discrete system. 
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Dmitrii Lozovanu; Alexandru Lazari. An approach for determining the matrix of limiting state probabilities in discrete Markov processes. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 77-91. http://geodesic.mathdoc.fr/item/BASM_2010_1_a6/

[1] Helmberg G., Voltkamp G., “On Fadeev-Leverrier's Method for the Computation of the Characteristic Polynomial of the Matrix and of Eigenvectors”, Linear Algebra and its Application, 185 (1993), 219–233 | DOI | MR | Zbl

[2] Howard R. A., Dynamic Programming and Markov Processes, Wiley, 1960 | MR | Zbl

[3] Lozovanu D., Pickl S., “Dynamic Programming Algorithms for Solving Stochastic Discrete Control Problems”, Bulletin of the Academy of Science of RM. Mathematics, 2009, no. 2(60), 73–90 | MR | Zbl

[4] Puterman M., Markov Decision Processes, Wiley, 1993 | MR

[5] Paţiuc V., Râbacova G., Secrieru I., Zolotarevschi V., Metode numerice în probleme diferenţiale, integrale şi de valori proprii, Chişinău, 2001