# Matea Puvača

PhD student
Department of Mathematics
Josip Juraj Strossmayer University of Osijek
Trg Ljudevita Gaja 6
Osijek, HR-31000, Croatia¸
 phone: +385-31-224-816 fax: +385-31-224-801 email: mpuvaca @ mathos.hr office: 3 (first floor)

## Research Interests

Numerical linear algebra
Control Theory
Numerical mathematics
Damping optimization in mechanical systems

## Degrees

MSc in Mathematics, Mathematics and Computer Science,Department of Mathematics, University of Osijek, Croatia, 2015.
BSc in Mathematics, Department of Mathematics, University of Osijek, Croatia, 2013.

## Publications

Journal Publications

1. N. Truhar, Z. Tomljanović, M. Puvača, An Efficient Approximation For Optimal Damping In Mechanical Systems, International journal of numerical analysis and modeling 14/2 (2017), 201-217
This paper is concerned with an efficient algorithm for damping optimization in mechanical systems with a prescribed structure. Our approach is based on the minimization of the total energy of the system which is equivalent to the minimization of the trace of the corresponding Lyapunov equation. Thus, the prescribed structure in our case means that a mechanical system is close to a modally damped system. Although our approach is very efficient (as expected) for mechanical systems close to modally damped system, our experiments show that for some cases when systems are not modally damped, the proposed approach provides efficient approximation of optimal damping.

Others

1. Z. Tomljanović, M. Ugrica, QR decomposition using Givens rotations and applications, Osječki matematički list 14/2 (2015), 117-141
In this paper, we describe Givens rotations and their applications. We present basic properties of Givens rotation matrices and their application to calculation of QR decomposition of the given matrix which can be used for solving linear systems or the least squares problem. Givens rotations play an important role if the matrix considered has a special structure; thus, we additionally describe usage of Givens rotations for structured matrices such as tridiagonal or Hessenberg matrices. Givens rotations and their application are illustrated by examples.

Technical Reports

1. N. Truhar, Z. Tomljanović, M. Puvača, An efficient approximation for the optimal damping in mechanical systems (2016)
This paper is concerned with the efficient algorithm for damping optimization in mechanical systems with prescribed structure. Our approach is based on the minimization of the total energy of the system which is equivalent with the minimization of the trace of the corresponding Lyapunov equation. Thus, the prescribed structure in our case means that a mechanical system is close to the modally damped system. Even though our approach is very efficient (as it was expected) for the mechanical systems close to modally damped system, our experiments show that for some cases when systems are not modally damped the proposed approach provides efficient approximation of the optimal damping.

## Projects

• Robustness optimization of damped mechanical systems, -- scientific project; supported by the DAAD for period 2017--2018; cooperation with TU Berlin, Germany
• Optimization of parameter dependent mechanical systems (IP-2014-09-9540; OptPDMechSys). This project has been fully supported by Croatian Science Foundation for the period 01.07.2015.--30.06.2019.

## Professional Activities

Committee Memberships and organization

• Upcoming: International Workshop on Optimal Control of Dynamical Systems and applications, 20-22 June 2018 at Department of Mathematics, J. J. Strossmayer University of Osijek, web page

Schools and Conferences

Study Visits Abroad and Professional Improvement

• visiting researcher at TU Berlin, Germany 18/9/2017 - 29/9/2017.

## Teaching

Zimski semestar 2015./2016.

Ljetni semestar 2015./2016.

Zimski semestar 2016./2017.

Ljetni semestar 2016./2017.

Zimski semestar 2017./2018.

Konzultacije (Office Hours): Dogovor putem Ova e-mail adresa je zaštićena od spambota. Potrebno je omogućiti JavaScript da je vidite. ili poslije vježbi.