Journal papers and preprints

  1. On the block Eberlein diagonalization method (with A. Perković)
    Submitted for publication. [arXiv]
  2. Randomized algorithms for coupled decompositions (with A.Carević and I. Šain Glibić)
    Submitted for publication. [arXiv]
  3. Convergence of the complex block Jacobi methods under the generalized serial pivot strategies (with V. Hari)
    Linear Algebra Appl. 699 (2024) 421-458. [journal] [arXiv]
  4. CP decomposition and low-rank approximation of antisymmetric tensors (with L. Periša)
    Electron. Trans. Numer. Anal. 62 (2024) 72-94. [journal] [arXiv]
  5. Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies (with A. Perković)
    Electron. Trans. Numer. Anal. 60 (2024) 238-255. [journal] [arXiv]
  6. Trace maximization algorithm for the approximate tensor diagonalization (with A. Perković)
    Linear Multilinear Algebra 72(3) (2024) 429-450. [journal] [arXiv]
  7. Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization
    Calcolo 60, 3 (2023). [journal] [arXiv]
  8. Finding the closest normal structured matrix
    Linear Algebra Appl. 617 (2021) 49-77. [journal] [arXiv]
  9. Hybrid CUR-type decomposition of tensors in the Tucker format
    BIT Numer. Math. 62(1) (2022) 125-138. [journal] [arXiv]
  10. On the convergence of complex Jacobi methods (with V. Hari)
    Linear Multilinear Algebra 69(3) (2021) 489-514. [journal] [arXiv]
  11. On normal and structured matrices under unitary structure-preserving transformations (with H. Fassbender and P. Saltenberger)
    Linear Algebra Appl. 608 (2021) 322-342. [journal] [arXiv]
  12. Jacobi method for symmetric 4x4 matrices converges for every cyclic pivot strategy (with V. Hari)
    Numer. Algor. 78(3) (2018) 701-720. [journal] [arXiv]
  13. Convergence of the cyclic and quasi-cyclic block Jacobi methods (with V. Hari)
    Electron. Trans. Numer. Anal. 46 (2017) 107-147. [journal] [arXiv]
  14. Structure-preserving low multilinear rank approximation of antisymmetric tensors (with D. Kressner)
    SIAM. J. Matrix Anal. & Appl. 38(3) (2017) 967–983. [journal] [arXiv]
  15. On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies (with V. Hari)
    Linear Algebra Appl. 524 (2017) 199-234. [journal] [arXiv]
  16. On the global convergence of the Jacobi method (with V. Hari)
    Proc. Appl. Math. Mech. 16 (2016) 725-726. [journal]

Conferences and schools

  • January 2025, BIT65 International conference on numerical mathematics and scientific computing, Uppsala, Sweden
    Algorithms for the randomized coupled decompositions (talk)
  • September 2024, Applied Mathematics and Scientific Computing (ApplMath), Dubrovnik, Croatia
    Randomized algorithms for coupled decompositions (talk)
  • July 2024, 8th Croatian Mathematical Congress, Osijek, Croatia
    Convergence of the complex block Jacobi methods (talk)
  • May 2024, SIAM Conference on Applied Linear Algebra, Paris, France
    Jacobi-Type Methods for Tensor Decompositions (talk)
  • September 2023, 10th Workshop on Matrix Equations and Tensor Techniques (METT), Aachen, Germany
    CP decomposition and low-rank approximation of antisymmetric tensors (talk)
  • August 2023, 10th International Congress on Industrial and Applied Mathematics (ICIAM), Tokyo, Japan
    Convergence of the Eberlein diagonalization method (talk)
  • June 2023, 25th Conference of the International Linear Algebra Society (ILAS), Madrid, Spain
    CP decomposition and low-rank approximation of antisymmetric tensors (talk)
  • May 2023, UNIC Mathematics Workshop, Zagreb, Croatia
    Tensor diagonalization algorithms (talk)
  • July 2022, Short Communications Satellite 2022 of the International Congress of Mathematicians (online)
    Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization (slides)
  • September 2021, GAMM Workshop Applied and Numerical Linear Algebra, Potsdam, Germany
    Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization (talk)
  • July 2021, Applied Mathematics Workshop, Brijuni, Croatia
    Jacobi-type method for the SVD-like tensor decomposition (talk)
  • June 2021, 8th European Congress of Mathematics, Portorož, Slovenia (online)
    On the convergence of the Jacobi-type method for computing orthogonal tensor decomposition (talk)
  • May 2021, SIAM Conference on Applied Linear Algebra, New Orleans LA, USA (online)
    Finding the Closest Normal Structured Matrix (talk)
  • September 2020, Applied Mathematics and Scientific Computing (ApplMath), Brijuni, Croatia
    Hybrid CUR-type decomposition of tensors in the Tucker format (talk)
  • February 2020, Georgia Scientific Computing Symposium, Emory University, Atlanta GA, USA
    On the convergence of complex Jacobi methods (poster)
  • October 2018, GAMM Workshop Applied and Numerical Linear Algebra, Lund, Sweden
    The closest normal structured matrix (talk)
  • September 2018, Applied Mathematics and Scientific Computing (ApplMath), Šibenik, Croatia
    The closest normal structured matrix (talk)
  • May 2018, SIAM Conference on Applied Linear Algebra, Hong Kong
    Convergence of the complex cyclic Jacobi methods and applications (talk)
  • September 2016, 16th GAMM Workshop Applied and Numerical Linear Algebra, Hamburg, Germany
    Structure-preserving low multilinear rank approximation of antisymmetric tensors (talk)
  • July 2016, 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium
    Block Jacobi annihilators and operators (talk)
  • June 2016, 6th Croatian Mathematical Congress, Zagreb, Croatia
    Structure-preserving low multilinear rank approximation of antisymmetric tensors (talk)
  • April 2016, Hausdorff School: Low-rank Tensor Techniques, Bonn, Germany
  • October 2015, SIAM Conference on Applied Linear Algebra, Atlanta GA, USA
    On the global convergence of the cyclic Jacobi methods for the symmetric matrix of order 4 (poster)
  • September 2015, Workshop on Matrix Equations and Tensor Techniques, Bologna, Italy
  • June 2015, CIME-EMS Summer School in applied mathematics, Cetraro, Italy
  • June 2014, 10th International Workshop on Accurate Solution of Eigenvalue Problems (Iwasep), Dubrovnik, Croatia
    On the convergence of the cyclic and quasi-cyclic block Jacobi methods (talk)
  • September 2013, DAAD International School on Linear Optimal Control of Dynamic Systems, Osijek, Croatia
  • June 2013, Applied Mathematics and Scientific Computing (ApplMath), Šibenik, Croatia
    On the convergence of the Jacobi methods under certain periodic pivot strategies (talk)
  • June 2012, 5th Croatian Mathematical Congress, Rijeka, Croatia
  • February 2012, 9th Meeting of Young Chemical Engineers, Zagreb, Croatia
    Development of a mathematical model of the formation of flock activated sludge in the process of biodegradation (poster)

Seminar talks

  • January 2024, Dekompozicije i aproksimacije tenzora, European Women in Mathematics Croatia
  • July 2021, Hibridna CUR dekompozicija tenzora, University of Zagreb
  • May 2021, Convergence of the block Jacobi methods, Scientific Colloquium of the Croatian Mathematical Society
  • November 2019, Structure-preserving low multilinear rank approximation of antisymmetric tensors, Georgia Tech
  • March 2019, Normal and structured matrices under unitary structure-preserving transformations, KTH Stockholm
  • April 2018, Najbliža normalna matrica sa zadanom strukturom, University of Zagreb
  • February 2018, The closest normal structured matrix, TU Braunschweig
  • October 2016, Low rank tensor approximations with the emphasis on antisymmetric tensors, TU Braunschweig
  • April 2016, Structure-preserving low multilinear rank approximation of antisymmetric tensors, Hausdorff School, Bonn
  • March 2016, Aproksimacija antisimetričnih tenzora tenzorima nižeg ranga, University of Zagreb
  • June 2015, Jacobi method on small matrices, CIME-EMS Summer School, Cetraro
  • November 2014, Convergence of block Jacobi methods, EPFL
  • July 2014, Konvergencija blok Jacobijevih metoda 2, University of Zagreb
  • July 2014, Konvergencija blok Jacobijevih metoda 1, University of Zagreb
  • January 2014, Konvergencija Jacobijevih metoda na matricama reda četiri, University of Zagreb
  • January 2014, Konvergencija cikličkih Jacobijevih metoda na simetričnim matricama, University of Zagreb
  • June 2013, Neke posebne cikličke strategije za Jacobijevu metodu, University of Zagreb
  • May 2012, Implicitni algoritam Choleskog s pomacima, University of Zagreb

Other publications

  • Prednosti i mane online provjera znanja (in Croatian) Poučak 84 (2020) 40-46.
  • Matematičko modeliranje u osnovoškolskoj nastavi (in Croatian) MiŠ 81 (17) (2015) 17-21.
  • Uloga eksperimenta u matematičkom otkriću (with V. Kovač, in Croatian) Poučak 55 (2013) 4-17.

PhD students

  • Ana Perković (February 2025) University of Zagreb Faculty of Science
    Algorithms and convergence of the Jacobi-type methods [thesis]