Stefano Massei

activity

20162026

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

28 citations · 68 across the 25 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★ 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★ 15 cited

On the decay of the off-diagonal singular values in cyclic reduction

Dario Andrea Bini, Stefano Massei, Leonardo Robol

It was recently observed that the singular values of the off-diagonal blocks of the matrix sequences generated by the Cyclic Reduction algorithm decay exponentially. This property…

math.NA2016

Decay bounds for the numerical quasiseparable preservation in matrix functions

Stefano Massei, Leonardo Robol

Given matrices $A$ and $B$ such that $B = f (A)$ , where $f (z)$ is a holomorphic function, we analyze the relation between the singular values of the off-diagonal submatrices of $A$ an…

math.NA2016

Efficient cyclic reduction for QBDs with rank structured blocks

Dario A. Bini, Stefano Massei, Leonardo Robol

We provide effective algorithms for solving block tridiagonal block Toeplitz systems with $m \times m$ quasiseparable blocks, as well as quadratic matrix equations with $m \times m$ …