Titlebook: Linear Algebra, Markov Chains, and Queueing Models; Carl D. Meyer,Robert J. Plemmons Conference proceedings 1993 Springer-Verlag New York,

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A Direct Algorithm for Computing the Stationary Distribution of a ,-Cyclic Markov Chain to adapt Gaussain elimination to exploit this structure. When there are . blocks of approximately equal size, the savings in computational effort from exploiting this structure is a factor of about 3/...

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https://doi.org/10.1007/978-1-4613-8351-2Matrix; algebra; linear algebra; matrix theory

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Gaussian Elimination, Perturbation Theory, and Markov ChainsThe purpose of this paper is to describe the special problems that emerge when Gaussian elimination is used to determinin the steady-state vector of a Markov chain.

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Gianfranco Ciardo,Alex Blakemore,Philip F. Chimento Jr.,Jogesh K. Muppala,Kishor S. Trivedi.

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Error Bounds for the Computation of Null Vectors with Applications to Markov Chainsd the correct submatrix..In this paper, we improve that result in several ways. First, we show that many of the results can be generalized to the case where . is any complex matrix of degree . with rank . - 1, thus they can be generalized to the case where . = . - .. and . is a simple eigenvalue of