Technical Introduction to the Numerical Solution of Markov Chains (0691036993)

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Author: William J. Stewart
Publisher: Princeton University Press,
ISBN: 0691036993

A cornerstone of applied probability, Markov chains can be used to help model how plants grow, chemicals react, and atoms diffuse--and applications are increasingly being found in such areas as engineering, computer science, economics, and education. To apply the techniques to real problems, however, it is necessary to understand how Markov chains can be solved numerically. In this book, the first to offer a systematic and detailed treatment of the numerical solution of Markov chains, William Stewart provides scientists on many levels with the power to put this theory to use in the actual world, where it has applications in areas as diverse as engineering, economics, and education. His efforts make for essential reading in a rapidly growing field.Here Stewart explores all aspects of numerically computing solutions of Markov chains, especially when the state is huge. He provides extensive background to both discrete-time and continuous-time Markov chains and examines many different numerical computing methods--direct, single-and multi-vector iterative, and projection methods. More specifically, he considers recursive methods often used when the structure of the Markov chain is upper Hessenberg, iterative aggregation/disaggregation methods that are particularly appropriate when it is NCD (nearly completely decomposable), and reduced schemes for cases in which the chain is periodic. There are chapters on methods for computing transient solutions, on stochastic automata networks, and, finally, on currently available software. Throughout Stewart draws on numerous examples and comparisons among the methods he so thoroughly explains.

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	Science/Engineering Markov Chains Daniel Revuz "Markov Chains" North Holland \| 1984-05-01 \| ISBN: 0444864008 \| 374 pages \| PDF \| 12,8 MB This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurab ...
	Science/Engineering Non-negative Matrices and Markov Chains Non-negative Matrices and Markov Chains288 pages \| Springer; 2nd edition (January 26, 2006) \| ISBN: 0387297650 \| PDF \| 10 MbThis book is a photographic reproduction of the book of the same title published in 1981, for which there has been c ...
	Science/Engineering Markov Chains and Mixing Times David A. Levin, Yuval Peres, Elizabeth L. Wilmer "Markov Chains and Mixing Times" American Mathematical Society \| 2008-12-24 \| ISBN: 0821847392 \| 364 pages \| PDF \| 4,1 MB This book is an introduction to the modern approach to the theory ...
	Science/Engineering Semi-Markov Chains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA Analysis Vlad Barbu, Nikolaos Limnios, "Semi-Markov Chains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA Analysis" Springer \| 2008-08-28 \| ISBN: 0387731717 \| 226 pages \| PDF \| 2,5 MB This book is concerned w ...
	Science/Engineering Markov Chains and Stochastic Stability Sean Meyn, Richard L. Tweedie, "Markov Chains and Stochastic Stability" Cambridge University Press \| 2009 \| ISBN: 0521731828 \| 622 pages \| PDF \| 6,5 MB Meyn & Tweedie is back! The bible on Markov chains in general state spaces has bee ...
	Science/Engineering Numerical Solution of Partial Differential Equations: An Introduction Numerical Solution of Partial Differential Equations: An IntroductionCambridge University Press \| 0521607930 \| 2005 \| PDF \| 302p \| 4MB \| RS \| FFThis second edition of a highly successful graduate text presents a complete introduction to par ...

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