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math.NA2016★ 8 cited
General solution of the Poisson equation for Quasi-Birth-and-Death processes
Dario A. Bini, Sarah Dendievel, Guy Latouche +1
We consider the Poisson equation , where is the transition matrix of a Quasi-Birth-and-Death (QBD) process with infinitely many levels, $\bm…
math.NA2015
Computing the Exponential of Large Block-Triangular Block-Toeplitz Matrices Encountered in Fluid Queues
D. A. Bini, S. Dendievel, G. Latouche +1
The Erlangian approximation of Markovian fluid queues leads to the problem of computing the matrix exponential of a subgenerator having a block-triangular, block-Toeplitz structure…