Odjel za matematiku

Ivana Kuzmanović Ivičić

profilna

Assistant Professor

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:  ikuzmano @ mathos.hr
office:  3 (first floor)

 


Research Interests

  • Applied mathematics
  • Numerical linear algebra
  • Matrix equations
  • Parameter dependent problems

Degrees

PhD in Mathematics, Department of Mathematics, University of Zagreb, 2012.

BSc in Mathematics and Computer Science, Department of Mathematics, University of Osijek, Croatia, 2005.

 


Publications

 


Projects

01.01.2020.--31.12.2023.  investigator on scientific project   Vibration Reduction in Mechanical Systems  (IP-2019-04-6774, VIMS). This project is fully supported by Croatian Science Foundation.

01.07.2015. - 30.06.2019  investigator on scientific project "Optimization of parameter dependent mechanical systems (IP-2014-09-9540; OptPDMechSys). This project has been fully supported by Croatian Science Foundation

2007- 2013 investigator on  scientific project (235-2352818-1034)  "Nonlinear parameter estimation problems in mathematical models“ (Ministry of Science, Education and Sports)

 


 

Workshop and Conference Talks

  • Ivana Kuzmanović Ivičić, Optimization of parameter dependent structured Sylvester and T-Sylvester equations, 8th European Congress of Mathematics, 20 - 26 June 2021, Portorož, Slovenia
  • Ivana Kuzmanović Ivičić, Structured Sylvester and T-Sylvester equations, 28th Biennial Numerical Analysis Conference, Glasgow, 25-28 June 2019
  • I.Kuzmanović, Parameter Dependent Generalized Sylvester and T-Sylvester Equations,  6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2017), August 15-18, 2017, Budapest, Hungary.
  • I.Kuzmanović, Parameter dependent generalized Sylvester and T-Sylvester equations, METT VII — 7th Workshop on Matrix Equations and Tensor Techniques, 13-14 February 2017, Pisa, Italy
  • Ivana Kuzmanović, Optimization of the solution of Sylvester and $T$-Sylvester equations with applications, 16th GAMM ANLA Workshop, September 15-16, 2016, Hamburg, Germany

  • Ivana Kuzmanović, Damping optimization over the arbitrary time of the excited mechanical systems, 6th Croatian MathematicalCongress, June 14-17, 2016, Zagreb, Croatia

  • Ivana Kuzmanović, Structured Sylvester and T-Sylvester equations, 10th International Workshop on
    Accurate Solution of Eigenvalue Problems (IWASEP 10), Dubrovnik, June 2-5, 2014

  • I. Kuzmanović, Applications of Lyapunov and $T$-Lyapunov equations in mechanics, Fourth Mathematical Conference of the Republic of Srpska, Trebinje, 2014

  •  I. Kuzmanović, N.Truhar. Sherman-Morrison-Woodbury formula for Sylvester and T-Sylvester equation, 5th Croatian Mathematical Congress, June 18 - 21, 2012, Rijeka, Croatia

  •  Scitovski, Rudolf; Sabo, Kristian; Kuzmanović, Ivana; Vazler, Ivan; Cupec, Robert; Grbić, Ratko. The best least absolute deviation hyperplane - properties and efficient methods , 4th Croatian Mathematical Congress, Osijek, June 17-20, 2008

  •  I. Kuzmanović, The least absolute deviation linear regression: properties and two efficient methods, Aplimat, Bratislava, 2008

  •  I. Kuzmanović, R. Scitovski, Jedna metoda procjene parametara u smislu minimizacije sume $L_p$ ortogonalnih udaljenosti, PrimMath[2003], Zagreb

Seminars and talks

  • I. Kuzmanović, Structured Sylvester and $T$-Sylvester equations, Mathematical Colloquium, Osijek, 16.1.2014
  • I. Kuzmanović, Optimization of the solution of the parameter-dependent Sylvester equation, Optimization and Applications Seminar, Osijek, 29.6.2011.
  • I. Kuzmanović, Parameter-dependent Sylvester equation and applications, Optimization and Applications Seminar, Osijek, 8.6.2011.
  • I. Kuzmanović, Subgradient methods for minimization of nondifferentiable convex functions, Optimization and Applications Seminar, Osijek, 17.03.2010.
  • I. Kuzmanović, \textit{Functions floor and ceiling}, Winter math school, Osijek 2008.
  • I. Kuzmanović, Normal block matrices, Seminar for numerical mathematics, Zagreb, 13.3.2008.
  • I. Kuzmanović, Locations of lines in normed spaces, Optimization and Applications Seminar, Osijek, 07.3.2008.
  • I. Kuzmanović, Linear $l_\infty$ approximation, Optimization and Applications Seminar, Osijek, 09.1.2008.
  • I. Kuzmanović, Cantor normal form, Seminar for Logic and Foundations of Mathematics , Zagreb, 22.5.2007.

 

Participation in summer schools and workshops:

  • Workshop on Model Reduction Methods and Optimization, 20-21 September 2016, Opatija, Croatia
  • The third International School on Model Reduction for Dynamical Control Systems, 5 - 10 October 2015, Dubrovnik, Croatia
  • DAAD International School on Linear Optimal Control of Dynamic Systems, 23 - 28 September 2013, Osijek, Croatia
  • Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems, October 10-15, 2011, Trogir, Croatia
  • DAAD Summer School on Sparse Eigenvalue Problems, August 22-27, 2011, Sarajevo, Bosnia and Herzegovina

Study Visits Abroad

  • 27.11.-3.12.2016. Max-Planck-Institut fur Dynamik komplexer technischer Systeme, Magdeburg

Organization of National and International Meetings:

  • 2008. 4th Croatian Mathematical Congress - Organizing Committee Member
  • 2020.  Computational Linguistics and Golden Formula of Croatian Language - Organizing Committee Chair

Refereeing/Reviewing

  •  International Journal of Systems Science
  •  International Journal of Computer Mathematics

Professional Societiey Membership

  • EMS (European Mathematical Society)
  • MAA (Mathematical Association of America)

 

 


Teaching

Akademska godina 2021./22. zimski semestar

Matematički alati, MathOS

Linearna optimizacija,  MathOS

Matematika 1, Odjel za kemiju

Akademska godina 2021./22. ljetni semestar

Računalno razmišljanje i programiranje 2

Linearna algebra 1, Odjel za fiziku

 

Obranjeni diplomski i završni radovi:

1. Marija Mecanović, Metoda sukcesivne nadrelaksacije  (SOR), diplomski rad u komentorstvu s izv.prof.dr.sc. Zoranom Tomljanovićem, 15.9.2017.

2. Jasna Okopni, Pozitivno definitne matrice, završni rad u komentorstvu s dr.sc. Marijom Miloložom Pandur, 20.9.2017.

3. Nikolina Stupjak, Prezentacije u Latex-u, završni rad, 29.9.2017.

4.  Marinela Pilj, Generalizirani svojstveni problem i definitni matrični parovi, završni rad u komentorstvu s dr.sc. Marijom Miloložom Pandur, 29.9.2017.

5. Marija Mecanović, Iterativne metode za rješavanje linearnih sustava, završni rad, 29.9.2017.

6. Lucija Tatarević, Posteri u Latex-u, završni rad, 28.9.2018.

7. Doris Aleksov, Dualni prostori, završni rad, 28.9.2018.

8. Ana Mrkojević, Schurova dekompozicija matrice, završni rad, 30.9.2019.

9. Ivana Vuletić, Algebarska, analitička i geometrijska svojstva vektorskih normi, završni rad, 30.9.2019.

10. Maja Kovačević, Sylvesterova i Ljapunovljeva matrična jednadžba, završni rad, 29.9.2020.

11. Lea Mađarić, Geršgorinovi krugovi, završni rad, 23.10.2020.

12. Tonka Antić, Kreiranje grafičkih elemenata u LaTeX-u koristeći paket TikZ, završni rad, 15.09.2021.

13. Dunja Majdenić, Spektar i pseudospektar matrice, završni rad, 06.10.2021.

 

Teme diplomskih i završnih radova u akademskoj godini 2021./22.:

Sljedeće teme su slobodne za diplomske i završne radove. Mole se zainteresirani studenti da se jave radi detaljnijih informacija.

SLOBODNE TEME ZAVRŠNIH RADOVA

  1. Vizualizacija u geometriji uz pomoć programskog paketa Mathematica
  2.  Animacije u programskom paketu Mathematica
  3. Krylovljevi potprostori i primjene
  4. Linearna algebra u genetici
  5. Kanonski oblik krivulje drugoga reda

 

SLOBODNE TEME DIPLOMSKIH RADOVI

  1. "Matrične jednadžbe" (pregled osnovnih oblika jednadžbi kod kojih je nepoznanica matrica, pregled standardnih metoda za njihovo rješavanje, implementacija osnovnih metoda u Matlabu)
  2. "Generalizirane svojstvene vrijednosti"   (osnovne definicije i svojstva generaliziranih svojstvenih vrijednosti, QZ metoda za računanje generaliziranih svojstvenih vrijednosti, implementacija u Matlabu)
  3. "Tenzori"  (definicija i osnovni pojmovi vezani za tenzore (generalizirane matrice), pregled svojstava)
  4. Odabrani problemi linearne optimizacije
  5. Linearna algebra u strojnom učenju

 

Konzultacije (Office Hours): ponedjeljkom u 9h


Personal

Married, 4 kids