Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

In this paper, we investigate a recently introduced approach for nonlinear model order
reduction based on generalized moment matching. Using basic tensor calculus, we propose …

We study the eigenvalue bounds of block two-by-two nonsingular and symmetric indefinite
matrices whose (1,1) block is symmetric positive definite and Schur complement with respect …

This paper is concerned with the precise localization of Hopf bifurcations in various fluid flow
problems. This is when a stationary solution loses stability and often becomes periodic in …

This paper presents a method for expressing the determinant of an N {\times} N complex
block matrix in terms of its constituent blocks. The result allows one to reduce the …

Knowledge of the rightmost eigenvalues of system matrices is essential in power system
small-signal stability analysis. Accurate and efficient computation of the rightmost …

In this article a boundary feedback stabilization approach for incompressible Navier--Stokes
flows is studied. One of the main difficulties encountered is the fact that after space …

The paper presents a comprehensive study of small-signal stability analysis of power
systems based on matrix pencils and the generalized eigenvalue problem. Both primal and …

These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

Stabilizing a flow around an unstable equilibrium is a typical problem in flow control. Model-
based designed of modern controllers like LQR/LQG or H∞ compensators is often limited by …