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A Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems

Authors :
Noah H. Rhee
C. He
Beatrice Meini
Source :
SIAM Journal on Matrix Analysis and Applications. 23:673-691
Publication Year :
2002
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 2002.

Abstract

The problem of the computation of the stochastic matrix G associated with discrete-time quasi-birth-death (QBD) Markov chains is analyzed. We present a shifted cyclic reduction algorithm and show that the speed of convergence of the latter modified algorithm is always faster than that of the original cyclic reduction.

Details

ISSN :
10957162 and 08954798
Volume :
23
Database :
OpenAIRE
Journal :
SIAM Journal on Matrix Analysis and Applications
Accession number :
edsair.doi.dedup.....20e80c5527ea4132af741e22786b0db7