Stefano Massei

Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes

The class of semi-infinite Analytically Quasi-Toeplitz (AQT) matrices is introduced. This class is formed by matrices which can be written in the form

Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox

A=T(a)+E

Efficient cyclic reduction for Quasi-Birth-Death problems with rank structured blocks

, where

On functions of quasi Toeplitz matrices

T(a)=(t_{i,j})_{i,j\in\Z^+}

Solving Rank-Structured Sylvester and Lyapunov Equations

is the semi-infinite Toeplitz matrix associated with the symbol

Low-rank updates and a divide-and-conquer method for linear matrix equations

a(z)=\sum_{i=-\infty}^{+\infty}a_iz^i

О функциях от квазитeплицевых матриц@@@On functions of quasi Toeplitz matrices

, that is

Decay bounds for the numerical quasiseparable preservation in matrix functions

t_{i,j}=a_{j-i}

Fast solvers for 2D fractional diffusion equations using rank structured matrices

, for

Off-diagonal singular values decay in cyclic reduction

i,j\in\mathbb Z^+