Relative perturbation bounds for stable linear gyroscopic systems M x ̈ (t)+ G x ̇ (t)+ K x
(t)= 0 are considered, where M, K∈ R n× n are symmetric, M is positive definite, K negative …

In this paper we consider linear gyroscopic mechanical systems. More precisely, we
consider the perturbation theory for stable gyroscopic systems. We present new relative …

This paper contributes to the perturbation theory for parameter dependent quadratic
eigenvalue problems (PQEP). Specifically, we derive an approximate perturbation bound …

This paper presents an approach to the efficient calculation of all or just one important part of
the eigenvalues of the parameter dependent quadratic eigenvalue problem (λ 2 (v) M+ λ (v) …

In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues
for regular quadratic eigenvalue problems of the form (λ 2 M+ λ C+ K) x= 0, where M and K …

The main contribution of this paper is a novel approach to the perturbation theory of a
structured Hermitian quadratic eigenvalue problems (λ 2 M+ λ D+ K) x= 0. We propose a …

This thesis investigates the fundamental properties of a simplified dynamical power system
model. These models can be used to study the influence of the geometrical properties of the …

Sažetak In this thesis we study the parameter dependent Hermitian quadratic eigenvalue
problem (PEQP) given by\((\lambda^ 2 (\mathbf p) M (\mathbf p)+\lambda (\mathbf p) C …

In this paper we present new double angle theorems for the rotation of the eigenspaces of
Hermitian matrix pairs $(H, M) $, where $ H $ is a non-singular matrix which can be …

Perturbacijska teorija za kvadratni svojstveni problem Page 1 Suzana Miodragovic Trg Ljudevita
Gaja 6, HR-31 000 Osijek ssusic@mathos.hr www.mathos.hr/∼ssusic Perturbacijska teorija …