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Journal publications

Preprints:


  1. Z. Bujanović and L. Grubišić and D. Kressner and H.Y. Lam: Subspace embedding with random Khatri-Rao products and its application to eigensolvers. [preprint]

Published:


  1. Z. Bujanović and M. Kazalicki and L. Novak: Murmurations of Mestre-Nagao sums. International Journal of Data Science in the Mathematical Sciences (IJDSMS), Volume 2, Issue 1, pp 51-61, 2024 [preprint]
  2. Z. Bujanović and D. Kressner and C. Schröder: Iterative refinement of Schur decompositions. Numerical Algorithms, Volume 92, Issue 1, pp 247-267, 2023 [preprint, full paper]
  3. Z. Bujanović and D. Kressner: Norm and trace estimation with random rank-one vectors. SIAM Journal on Matrix Analysis and Applications, Volume 42, Number 1, pp 202-223, 2021 [preprint]
  4. P. Benner and Z. Bujanović and P. Kürschner and J. Saak: A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR Problems. SIAM Journal on Scientific Computing, Volume 42, Number 2, pp A957–A996, 2020 [preprint]
  5. Z. Bujanović and L. Karlsson and D. Kressner: A Householder-based algorithm for Hessenberg-triangular reduction. SIAM Journal on Matrix Analysis and Applications, Volume 39, Number 3, pp 1270-1294, 2018 [preprint]
  6. N. Bosner and Z. Bujanović and Z. Drmač: Parallel solver for shifted systems in a hybrid CPU-GPU framework. SIAM Journal on Scientific Computing, Volume 40, Number 4, pp C605-C633, 2018 [preprint]
  7. P. Benner and Z. Bujanović and P. Kürschner and J. Saak: RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations. Numerische Mathematik, Volume 138, Issue 2, pp 301-330, February 2018
  8. P. Benner and Z. Bujanović: On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. Linear Algebra and Its Applications, Volume 488, pp 430-459, January 2016 [preprint]
  9. Z. Bujanović and D. Kressner: A block algorithm for computing antitriangular factorizations of symmetric matrices. Numerical Algorithms, Volume 71, pp 41-57, January 2016 [preprint]
  10. Z. Bujanović and Z. Drmač: A new framework for implicit restarting of the Krylov-Schur algorithm. Numerical Linear Algebra with Applications, 2014
  11. Z. Bujanović: On the permissible arrangements of Ritz values for normal matrices in the complex plane. Linear Algebra and Its Applications, Volume 438, Issue 12, pp 4606-4624, June 2013
  12. N. Bosner and Z. Bujanović and Z. Drmač: Efficient generalized Hessenberg form and applications. ACM TOMS, Volume 39, Issue 3, Article No. 19, April 2013
  13. Z. Bujanović and Z. Drmač: A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD. BIT Numerical Mathematics, Volume 52, Issue 4, pp 827-849, December 2012
  14. Z. Bujanović and Z. Drmač: On the failure of rank revealing QR factorization software – A case study. ACM TOMS, Volume 35, Issue 2, pp 12:1-12:28, July 2008

Other publications

  1. Z. Bujanović and Z. Drmač: New robust ScaLAPACK routine for computing the QR factorization with column pivoting. LAPACK Working Note 296, October 2019
  2. Z. Bujanović and Z. Drmač: How a numerical rank revealing instability affects computer aided control system design. SLICOT Working Note 2010-1, January 2010

Conferences and Schools

  1. 8th Croatian Mathematical Congress (Osijek, Croatia, 2024): Randomized algorithms with random Khatri-Rao product matrices (invited lecture; coauthors: L. Grubišić, D. Kressner, H.Y. Lam)
  2. ENUMATH2023 (Lisabon, Portugal, 2023): Iterative refinement of Schur decompositions (coauthors: D. Kressner, C. Schröder)
  3. SIAM LA21 (virtual, 2021), XXI Householder Symposium on Numerical Linear Algebra (Selva di Fasano, Italy, 2022), SIAM CSE23 (Amsterdam, Netherlands, 2023): Norm and trace estimation with random rank-one vectors (coauthor: D. Kressner)
  4. ICIAM2019 (Valencia, Spain, 2019): Parallel solver for shifted systems in a hybrid CPU-GPU framework (coauthors: N. Bosner, Z. Drmač)
  5. NASCA 2018 (Kalamata, Greece, 2018), ApplMath18 (Šibenik, Croatia, 2018): A Householder-based algorithm for Hessenberg-triangular reduction (coauthors: L. Karlsson, D. Kressner)
  6. SciCADE 2017 (Bath, UK, 2017): A low-rank ADI-type algorithm for large scale algebraic Riccati equations (coauthors: P. Benner, P. Kürschner, J. Saak)
  7. 6th Croatian Mathematical Congress (Zagreb, Croatia, 2016): A hybrid algorithm for solving shifted linear systems (coauthors: N. Bosner, Z. Drmač)
  8. Workshop on Matrix Equations and Tensor Techniques (Bologna, Italy, 2015), GAMM ANLA Workshop (Magdeburg, Germany, 2015): A Low-Rank Quadratic ADI Algorithm for Algebraic Riccati Equations (coauthors: P. Benner, P. Kürschner, J. Saak)
  9. GAMM Annual Meeting (Erlangen, Germany, 2014), IWASEP 10 (Dubrovnik, Croatia, 2014): On the invariant subspace approach to solving the Riccati equation (coauthor: P. Benner)
  10. IWASEP 9 (Napa Valley, USA, 2012), ApplMath11 (Trogir, Croatia, 2011): On the Ritz Values of Normal Matrices
  11. PMAA'10 (Basel, Switzerland, 2010): A hybrid m-Hessenberg Reduction Algorithm (coauthor: Z. Drmač)
  12. Gene Golub SIAM Summer School 2010 (Selva di Fasano, Italy, 2010) - International Summer School on Numerical Linear Algebra
  13. IWASEP 7 (Dubrovnik, Croatia, 2008): On the Convergence of Block Kogbetliantz Methods for Calculating the SVD (coauthor: Z. Drmač)
  14. SIAG/LA-SIMUMAT (Castro Urdiales, Spain, 2008) - International Summer School on Numerical Linear Algebra
  15. ApplMath07 (Brijuni, Croatia, 2007): On the Failure of Rank Revealing QR Factorization Software" (coauthor: Z. Drmač)
  16. IWASEP 5 (Hagen, Germany, 2004): Implementation of the New Jacobi SVD Algorithm for Complex Matrices (poster section)

Education