HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Transient solutions of Markov processes by Krylov subspaces

Bernard Philippe 1 Roger Sidje 1
1 ALADIN - Algorithms Adapted to Intensive Numerical Computing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : In this note we exploit the knowledge embodied in infinitesimal generators of Markov processes to compute efficiently and economically the transient solution of continuous time Markov processes. We consider the Krylov subspace approximation method which has been analysed by Y. Saad for solving linear differential equations. We place special emphasis on error bounds and stepsize control. We discuss the computation of the exponential of the Hessenberg matrix involved in the approximation and an economic evaluation of the Pade method is presented. We illustrate the usefulness of the approach by providing some application examples.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00074683
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 4:05:12 PM
Last modification on : Friday, February 4, 2022 - 3:25:13 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:12:51 AM

Identifiers

  • HAL Id : inria-00074683, version 1

Citation

Bernard Philippe, Roger Sidje. Transient solutions of Markov processes by Krylov subspaces. [Research Report] RR-1989, INRIA. 1993. ⟨inria-00074683⟩

Share

Metrics

Record views

89

Files downloads

236