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Titlebook: Computations with Markov Chains; Proceedings of the 2 William J. Stewart Conference proceedings 1995 Springer Science+Business Media New Yo

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978-1-4613-5943-2Springer Science+Business Media New York 1995
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What is Fundamental for Markov Chains: First Passage Times, Fundamental Matrices, and Group Generalmes for discrete time regular Markov chains. The algorithms are based on the GTH algorithm for computing a stationary vector. We show that although all of these quantities can easily be computed from any one of them, the standard algebraic relations do not produce algorithms that preserve low componentwise relative error in each of them.
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Le rythme circadien de la fatigue,tate space is finite, the entire transition matrix can be generated. If the state space of the Markov chain is infinite, although it is impossible to generate the entire transition matrix, it still may be possible to solve the Markov chain. One interesting and useful class of denumerable state space
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Einleitung und Problemstellung, we devise a fast algorithm for computing the probability invariant vector of stochastic matrices of a wide class of Toeplitz-like matrices arising in queueing problems. We prove that for any block Toeplitz matrix . in block Hessenberg form it is possible to carry out the cyclic reduction algorithm
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New Didactic Approaches to Clinical Teaching for solving large chains thanks to their potential for parallel computation and robustness. We show that the block Cimmino method is particularly well-suited if the chain is nearly uncoupled, a condition which is often met in the applications. This is due to the favorable spectral distribution of t
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Syndrome-based Approach to Diagnosisjugate gradient (PCG) method. The preconditioners are constructed by exploiting the near-Toeplitz structure of the generator matrix of the model and are products of circulant matrices and band-Toeplitz matrices. We prove that if the number of servers . is fixed independent of the queue size n, then
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https://doi.org/10.1007/978-1-4471-4733-6olution of continuous time Markov processes. We consider the Krylov subspace approximation method which has been analysed by Gallopoulos and Saad for solving partial differential equations and linear ordinary differential equations [., .]. We place special emphasis on error bounds and stepsize contr
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