Article View: sci.math.num-analysis
Article #185Huge Markov chains
From: Nicola Muscettola
Date: Tue, 04 Aug 1992 15:16
Date: Tue, 04 Aug 1992 15:16
15 lines
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1247 bytes
I am looking at a problem that requires to find the stationary distribution of a discrete Markov chain with order 10e+04 states with a transition matrix that is only about 4% full (and that, in fact, could be easily generated at run time, given the very regular structure of the chain). I would appreciate if anybody had information on fast numerical methods to solve this sort of problem. I would appreciate e-mail responses. I will post an edited summary of the responses on the boards. -- Nicola Muscettola The Robotics Institute Carnegie Mellon University Pittsburgh, PA 15217
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arc1-ca.pugleaf.net!sparky!uunet!ogicse!das-news.harvard.edu!cantaloupe.srv.cs.cmu.edu!crabapple.srv.cs.cmu.edu!ISL1.RI.CMU.EDU!musShow Full Headers
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Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!das-news.harvard.edu!cantaloupe.srv.cs.cmu.edu!crabapple.srv.cs.cmu.edu!ISL1.RI.CMU.EDU!mus From: mus+@RI.CMU.EDU (Nicola Muscettola) Newsgroups: sci.math.num-analysis Subject: Huge Markov chains Keywords: discrete markov chains, stationary distribution, eigensystems solution Message-ID: <1992Aug04.151602.5141@cs.cmu.edu> Date: 4 Aug 92 15:16:02 GMT Article-I.D.: cs.1992Aug04.151602.5141 Organization: School of Computer Science, Carnegie Mellon Lines: 15 Nntp-Posting-Host: isl1.ri.cmu.edu To: outbound+netnews.sci.math.num-analysis@andrew.cmu.edu, outbound+netnews.sci.math.stat@andrew.cmu.edu