The group inverse of finite homogeneous QBD processes

DOI10.1081/STM-120002779zbMath1005.60093OpenAlexW1965542967MaRDI QIDQ4532401

Ana Da Silva Soares, Guy Latouche

Publication date: 19 February 2003

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-120002779

zbMATH Keywords

Drazin inversegroup inversequasi-birth-death process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Group inverse for block matrices and some related sign analysis ⋮ New representations of the group inverse of \(2 \times 2\) block matrices ⋮ Additive preservers of Drazin invertible operators with bounded index ⋮ The time-dependent expected reward and deviation matrix of a finite QBD process ⋮ A generalization of strongly preserver problems of Drazin invertibility ⋮ Group inverse for two classes of \(2\times 2\) block matrices over rings ⋮ Further results on the group inverse of some anti-triangular block matrices ⋮ Nonlinear preservers of group invertible operators

Cites Work

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• Applications of generalized inverses to Markov chains
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• Using the QR Factorization and Group Inversion to Compute, Differentiate, and Estimate the Sensitivity of Stationary Probabilities for Markov Chains
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Sensitivity of the Stationary Distribution of a Markov Chain
• Perturbation theory and finite Markov chains
• Geometric bounds on iterative approximations for nearly completely decomposable Markov chains

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