B. Meini

activity

20102026

most citedSemi-Infinite Quasi-Toeplitz Matrices with Applications to QBD Stochastic Processes

28 citations · 142 across the 24 of their papers we have counts for

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Showing 2016 · math.NAShow all

5 papers · 2 filters

math.NA2016★ 13 cited

On Functions of quasi Toeplitz matrices

Dario A. Bini, Stefano Massei, Beatrice Meini

Let $a (z) = \sum_{i \in Z} a_{i} z^{i}$ be a complex valued continuous function, defined for $∣ z ∣ = 1$ , such that $\sum_{i = - \infty}^{+ \infty} ∣ i a_{i} ∣ < \infty$ . Consider the semi-infinite…

math.NA2016★ 16 cited

On the exponential of semi-infinite quasi-Toeplitz matrices

Dario A. Bini, Beatrice Meini

Let $a (z) = \sum_{i \in Z} a_{i} z^{i}$ be a complex valued function defined for $∣ z ∣ = 1$ , such that $\sum_{i \in Z} ∣ i a_{i} ∣ < \infty$ , and let $E = (e_{i, j})_{i, j \in Z^{+}}$ b…

math.NA2016★ 28 cited

Semi-Infinite Quasi-Toeplitz Matrices with Applications to QBD Stochastic Processes

Dario A. Bini, Stefano Massei, Beatrice Meini

Denote by $W_{1}$ the set of complex valued functions of the form $a (z) = \sum_{i = - \infty}^{+ \infty} a_{i} z^{i}$ which are continuous on the unit circle, and such that $\sum_{i=-\…

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 $(I - P) u = g$ , where $P$ is the transition matrix of a Quasi-Birth-and-Death (QBD) process with infinitely many levels, $\bm…

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…