activity
20102026
most citedRelative Perturbation Theory for Quadratic Hermitian Eigenvalue Problem

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.NA2026

Optimal placement and tuning of pointwise dampers for vibrating strings via a Lyapunov framework

Josip Tambača, Ninoslav Truhar

We study the optimal placement and tuning of a small number of pointwise viscous dampers for a vibrating string. Starting from a finite element discretization of the damped wave eq…

math.NA2025

Structure-preserving deflation of critical eigenvalues in quadratic eigenvalue problems associated with damped mass-spring systems

Rafikul Alam, Volker Mehrmann, Ninoslav Truhar

For a quadratic matrix polynomial associated with a damped mass-spring system there are three types of critical eigenvalues, the eigenvalues and and the eigenvalues on…

math.OC2025

Damping optimization of discrete mechanical systems -- rod/string model

Ninoslav Truhar, Krešimir Veselić

This paper investigates two optimization criteria for damping optimization in a multi-body oscillator system with arbitrary degrees of freedom (), resembling string/rod free vib…

math.NA2024

On Stewart's Perturbation Theorem for SVD

Ren-Cang Li, Ninoslav Truhar, Lei-Hong Zhang

This paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix su…

math.OC2019

Mixed control of vibrational systems

Ivica Nakić, Zoran Tomljanović, Ninoslav Truhar

We consider new performance measures for vibrational systems based on the norm of linear time invariant systems. New measures will be used as an optimization criterion for th…

math.NA2016★ 2 cited

Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problem

Peter Benner, Xin Liang, Suzana Miodragović +1

In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic eigenvalue problems of the form , where $…

math.NA2010

The Rotation of Eigenspaces of Perturbed Matrix Pairs

Luka Grubišić, Ninoslav Truhar, Krešimir Veselić

We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent…

math.NA2010

Generalized Eigenvalue Problems with Specified Eigenvalues

Daniel Kressner, Emre Mengi, Ivica Nakic +1

We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value opt…