11 citations · 32 across the 19 of their papers we have counts for
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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.PR2016
Feedback control: two-sided Markov-modulated Brownian motion with instantaneous change of phase at boundaries
Guy Latouche, Giang T. Nguyen
We consider a Markov-modulated Brownian motion with two boundaries at and , and allow for the controlling Markov chain to instantaneously und…
math.NA2016★ 4 cited
Shift techniques for Quasi-Birth and Death processes: canonical factorizations and matrix equations
Dario A. Bini, Guy Latouche, Beatrice Meini
We revisit the shift technique applied to Quasi-Birth and Death (QBD) processes (He, Meini, Rhee, SIAM J. Matrix Anal. Appl., 2001) by bringing the attention to the existence and p…