MARCA: Markov chain analyzer, a software package for Markov modeling MARCA is a software package designed to facilitate the generation of large Markov chains and to compute transitent probability distributions of the chain at different times as well as its stationary probability vector. The software package MARCA is written in Fortran and has the following three segments: par 1. A Master Segment, which controls the operation of the package. par 2. The Second Segment deals with generation of the states of the system and the infinitesimal generation of matrix. par 3. The Third Segment derives and analyzes the stationary probability vector and the transient probability distributions.

References in zbMATH (referenced in 32 articles , 1 standard article )

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  1. Bertaccini, D.; Popolizio, M.; Durastante, F.: Efficient approximation of functions of some large matrices by partial fraction expansions (2019)
  2. Juan F. Pérez; Daniel F. Silva; Julio C. Góez; Andrés Sarmiento; Andrés Sarmiento-Romero; Raha Akhavan-Tabatabaei; Germán Riaño: Algorithm 972: jMarkov: An Integrated Framework for Markov Chain Modeling (2017) not zbMATH
  3. Pérez, Juan F.; Silva, Daniel F.; Góez, Julio C.; Sarmiento, Andrés; Sarmiento-Romero, Andrés; Akhavan-Tabatabaei, Raha; Riaño, Germán: Algorithm 972: jMarkov: an integrated framework for Markov chain modeling (2017)
  4. Vo, Huy D.; Sidje, Roger B.: Approximating the large sparse matrix exponential using incomplete orthogonalization and Krylov subspaces of variable dimension. (2017)
  5. Duff, Iain S.; Kaya, Kamer: Preconditioners based on strong subgraphs (2013)
  6. Benzi, M.; Kuhlemann, V.: Restricted additive Schwarz methods for Markov chains. (2011)
  7. De Sterck, H.; Miller, K.; Treister, E.; Yavneh, I.: Fast multilevel methods for Markov chains. (2011)
  8. Hayami, Ken; Sugihara, Masaaki: A geometric view of Krylov subspace methods on singular systems. (2011)
  9. Pultarová, Ivana; Marek, Ivo: Physiology and pathology of iterative aggregation-disaggregation methods. (2011)
  10. Pultarová, Ivana; Marek, Ivo: Convergence of multi-level iterative aggregation-disaggregation methods (2011)
  11. Kaynar, Bahar; Ridder, Ad: The cross-entropy method with patching for rare-event simulation of large Markov chains (2010)
  12. Migallón, Héctor; Migallón, Violeta; Penadés, Jose: Alternating two-stage methods for consistent linear systems with applications to the parallel solution of Markov chains (2010)
  13. Treister, Eran; Yavneh, Irad: Square and stretch multigrid for stochastic matrix eigenproblems (2010)
  14. Du, Xiuhong; Szyld, Daniel B.: Inexact GMRES for singular linear systems (2008)
  15. Borovac, Stefan: A graph based approach to the convergence of some iterative methods for singular M-matrices and Markov chains. (2006)
  16. Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.: Additive Schwarz iterations for Markov chains (2005)
  17. Pekergin, Nihal; Dayar, Tuğrul; Alparslan, Denizhan N.: Componentwise bounds for nearly completely decomposable Markov chains using stochastic comparison and reordering (2005)
  18. Buchholz, Peter; Dayar, Tuǧrul: Block SOR for Kronecker structured representations (2004)
  19. Fourneau, J. M.; Lecoz, M.; Quessette, F.: Algorithms for an irreducible and lumpable strong stochastic bound (2004)
  20. Kwiatkowska, Marta; Norman, Gethin; Parker, David: Probabilistic symbolic model checking with prism: a hybrid approach (2004) ioport

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