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A numerical study of large sparse matrix exponentials arising in Markov chains

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  • Sidje, Roger B.
  • Stewart, William J.

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  • Sidje, Roger B. & Stewart, William J., 1999. "A numerical study of large sparse matrix exponentials arising in Markov chains," Computational Statistics & Data Analysis, Elsevier, vol. 29(3), pages 345-368, January.
    • Handle: RePEc:eee:csdana:v:29:y:1999:i:3:p:345-368
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    Cited by:

    1. Alexander Herbertsson, 2011. "Modelling default contagion using multivariate phase-type distributions," Review of Derivatives Research, Springer, vol. 14(1), pages 1-36, April.
    2. Chris Sherlock, 2021. "Direct statistical inference for finite Markov jump processes via the matrix exponential," Computational Statistics, Springer, vol. 36(4), pages 2863-2887, December.
    3. Igor Halperin & Andrey Itkin, 2013. "USLV: Unspanned Stochastic Local Volatility Model," Papers 1301.4442, arXiv.org, revised Mar 2013.
    4. Wu, Xiaoxia & Zhang, Lianzhu, 2019. "On structural properties of ABC-minimal chemical trees," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    5. Garrett Jenkinson & John Goutsias, 2012. "Numerical Integration of the Master Equation in Some Models of Stochastic Epidemiology," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-9, May.
    6. Suñé, Víctor & Carrasco, Juan Antonio, 2017. "Implicit ODE solvers with good local error control for the transient analysis of Markov models," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 96-111.
    7. Herbertsson, Alexander & Rootzén, Holger, 2007. "Pricing k-th-to-default Swaps under Default Contagion: The Matrix-Analytic Approach," Working Papers in Economics 269, University of Gothenburg, Department of Economics.
    8. Herbertsson, Alexander, 2007. "Modelling Default Contagion Using Multivariate Phase-Type Distributions," Working Papers in Economics 271, University of Gothenburg, Department of Economics.
    9. Vo, H.D. & Sidje, R.B., 2017. "Implementation of variable parameters in the Krylov-based finite state projection for solving the chemical master equation," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 334-344.
    10. Mercier, Sophie, 2008. "Bounds and approximations for continuous-time Markovian transition probabilities and large systems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 216-234, February.

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