In this paper, we first investigate the finite-frequency model order reduction for linear
systems based on low-rank Gramian approximations. An efficient algorithm for computing …

In this paper, we consider the numerical solution of large-scale discrete-time projected
Lyapunov equations. We provide some reasonable extensions of the most frequently used …

In regard of the cross Gramian and the block Arnoldi process, this paper focuses on mixed
model reduction for two classes of dynamical systems. By studying the correlation between …

In this paper, we consider finding a low-rank approximation to the solution of a large-scale
generalized Lyapunov matrix equation in the form of $ AXM+ MXA= C $, where $ A $ and …

This paper discusses Lyapunov stability verification methods for continuous-time nonlinear
systems. Traditional mathematical methods require a lot of manual calculations, which …

We consider iteration for approximately solving large-scale algebraic Sylvester equations.
Inside every iteration step of this iterative process, a pair of linear systems of equations has …

We consider the low-rank alternating directions implicit (ADI) iteration for approximately
solving large-scale algebraic Sylvester equations. Inside every iteration step of this iterative …