Vjeran Hari


University of Zagreb
Department of Mathematics
Bijenicka c. 30
10000 Zagreb
Croatia

E. mail: hari@math.hr

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Životopis kratki

Životopis detaljni

Znanstveni radovi

  1. Hari V.: A Jacobi-like Eigenvalue Algorithm for General Real Matrices. Glasnik Matematički 11 (31) (1976), pp. 367--378. Glasnik
  2. Hari V.: On Convergence of the Paardekooper Method for Skew-symmetric Matrices. (Croatian language) M. S. Thesis, University of Zagreb 1980.
  3. Hari V.: On the Quadratic Convergence of the Paardekooper Method I. Glasnik Matematički 17 (37) (1982), pp. 183--195. paper
  4. Hari V.: On the global convergence of the Eberlein Method for Real Matrices. Numer. Math. 39 (1982), pp. 361--369. doi
  5. Hari V.: On Cyclic Jacobi Methods for the Positive Definite Generalized Eigenvalue Problem. Ph. D. Thesis, University of Hagen 1984. PDF
  6. Hari V.: On the Convergence of Certain Cyclic Jacobi-like Norm-reducing Processes for Real Matrices. Radovi Matematički 1 (1985), pp. 121--147.
  7. Hari V.: On Jacobi-type Congruence Transformations for a Positive Definite Matrix. Numerical Methods and Approximation Theory, Novi Sad, September 4--6, 1985. PDF
  8. Hari V.: On the Convergence of Cyclic Jacobi-like Processes. Linear Algebra and Its Appl. 81 (1986), pp. 105--127. URL
  9. Hari V.: On the Quadratic Convergence of Jacobi Algorithms. Radovi Matematički 2 (1986) 127--146.
  10. Hari V., Veselić K.: On Jacobi Methods for Singular Value Decompositions. SIAM J. Sci. Stat. Comput. Vol. 8, No.5 (1987) 741--754. URL
  11. Hari V.: On Almost Diagonal Square Matrices With Multiple Singular Values. Radovi Matematički 4 (1988) 209--225.
  12. Hari V.: On the Quadratic Convergence of the Serial SVD Jacobi Methods for Triangular Matrices. SIAM J. Sci. Stat. Comput. Vol. 10, No.6 (1989) 1076--1096. URL
  13. Veselić K., Hari, V.: A Note on the One-sided Jacobi Algorithm. Numer.Math. 56 (1989) 627--633. URL
  14. Hari V.: On Pairs of Almost Diagonal Matrices. Linear Algebra and Its Appl. 148 (1991) 193--223. URL
  15. Hari, V.: On Sharp Quadratic Convergence Bounds for the Serial Jacobi Methods. Numer. Math. 60 (1991) 375--406. URL , dvi
  16. Slapničar I., Hari V.: On the Quadratic Convergence of the Falk-Langemeyer Method for Definite Matrix Pairs. SIAM J. Matrix Anal. Appl., Vol. 12, No. 1 (1991) 84--114. URL , dvi
  17. Hari V., Rhee H.N.: On the Quadratic Convergence of the Paardekooper Method II. Glasnik Matematički, Vol. 27 (47) (1992) 369-391. URL
  18. Rhee H.N., Hari V.: On the Global and Cubic Convergence of a Quasy-cyclic Jacobi Method. Numer. Math. 66, (1993) 97--122. URL , dvi
  19. Hari V., Rhee H.N.: On a Pair of Almost Diagonal and Symmetric Positive Definite Matrices. Proceedings of the sixth SIAM Conference on Parallel Processing for Scientific Computing,Volume II, (Norfolk, VA, 1993) 582-585.
  20. Drmač Z., Hari V.: On the Quadratic Convergence Bounds for the J-symmetric Jacobi Method. Numer. Math. 64 (1993) 147--180. URL , dvi
  21. Hari V., Rhee H.N.: A Matrix Pair of an Almost Diagonal Skew-symmetric Matrix and a Symmetric Positive Definite Matrix. Linear Algebra and Its Appl. 195 (1993) 82--117. URL , dvi
  22. Park H., Hari V.: A Real Algorithm for the Hermitian Eigenvalue Decomposition. BIT 33 (1993) 158--171. URL , dvi
  23. Rhee H.N., Hari V.: On the Cubic Convergence of the Paardekooper Method. BIT 35 (1995)116--132. URL , dvi
  24. Drmač Z., Hari V.: Relative Residual Bounds for the Eigenvalues of a Hermitian Semidefinite Matrix. SIAM J. Matrix Anal. Appl. Vol.\ 18.\ No.\ 1 (1997) 21--29. URL , dvi
  25. Hari V., Drmač Z.: On Scaled Almost Diagonal Hermitian Matrix Pairs. SIAM J. Matrix Anal. Appl. Vol.\ 18.\ No.\ 4 (1997) 1000-1012. URL , dvi
  26. Matejaš J., Hari V.: Scaled Almost Diagonal Matrices with Multiple Singular Values. ZAMM. Vol.\ 78 (1998) 2, 121--131. URL , dvi
  27. Pupovci D., Hari V.: On the Convergence of Parallelized Eberlein Methods. Radovi matematički. 8 (1992 (1999)) 249-267. URL , dvi
  28. Hari V.: Structure of Almost Diagonal Matrices. Mathematical Communications 4 (1999), 135--158. URL (review paper).
  29. Matejaš J., Hari V.: Scaled Iterates by Kogbetliantz Method. Proceedings of the Conference on Applied Mathematics and Computation, Dubrovnik 13-18. Sept. 1999, pp. 1-20. URL , Paper (invited paper)
  30. Drmač Z., Hari V., Slapničar I.: Advances in Jacobi Methods. Proceedings of the Second Conference on Applied Mathematics and Scientific Computation, held June 4-9, 2001 in Dubrovnik, Croatia. Kluwer Academic, 2001, ISBN 0-306-47426-3, pp 63-90. URL , PDF
  31. Hari V., Matejaš J.: Quadratic Convergence of Scaled Iterates by Kogbetliantz Method. Computing 16 (2003) 83-105. URL , dvi
  32. Hari V.: On Some New Applications of the CS Decomposition, ICNAAM, International Conference on Numerical Analysis and Applied Mathematics 2004, ed. Simos T. E., Tsitouras C. Weinheim, Germany : Wiley-VCH Verlah GmbH & Co. KGaA, 2004. 161-163. pdf
  33. Hari V.: Accelerating the SVD Block-Jacobi Method, Computing 75 (2005) 27-53. URL
  34. Hari V.: Butterfly Matrices and the Modulus Kogbetliantz Method, ICNAAM, International Conference on Numerical Analysis and Applied Mathematics 2005, ed. Simos, T.E. Weinheim : Wiley-VCH Verlag GmbH & Co. KGaA, 2005. 226-229. URL , dvi
  35. Hari V., Singer S., Singer S.: Efficient Eigenvalue Computation by Block Modification of the Indefinite One-Sided Jacobi Algorithm, ICNAAM, International Conference on Numerical and Applied Mathematics 2005, ed. Simos, T. E. Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2005. 230-233. URL
  36. Matejaš J., Hari V.: Quadratic Convergence Estimate of Scaled Iterates by J-symmetric Jacobi Method, Linear Algebra and Its Applications 417 (2006) 434--465. URL
  37. Hari V.: Quadratic Convergence of a Special Quasi-cyclic Jacobi Method. Annali dell'Universita' di Ferrara, vol. 53 no 2, pp. 255-270. pdf
  38. Hari V., Matejaš J.: An Accurate SVD Algorithm for 2x2 Triangular Matrices, ICNAAM, International Conference on Numerical Analysis and Applied Mathematics 2006, ed. Simos, T.E. Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2006. pp. 143--146. pdf
  39. Hari V. Singer S., Singer S.: Cache-Oriented Implementation of the Indefinite Block-Jacobi Method, ICNAAM, International Conference on Numerical Analysis and Applied Mathematics 2006, ed. Simos, T.E. Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2006. pp. 139--142. pdf
  40. Hari V.: Convergence Of A Block-Oriented Quasi-Cyclic Jacobi Method. SIAM J. Matrix Analysis and Applications, Vol 29 No 2 (2007) 349--369. URL , dvi
  41. Hari V., Zadelj-Martić V.: Parallelizing the Kogbetliantz Method: A First Attempt. Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) Vol. 2 No 1--2 (2007) 49--66. URL , pdf
  42. Hari V.: Perturbation and location of the singular values of symmetrically scaled matrices, Numerical Analysis and Applied Mathematics, International Conference, AIP conference proceedings CP936, 2007, p.p. 255--258. URL , pdf
  43. Singer S., Singer S., Hari V., Bokulić K., Davidović D., Jurešić M., Uščumlić A.: Advances in Speedup Od the Indefinite One-Sided Block Jacobi Method, Numerical Analysis and Applied Mathematics, International Conference, AIP conference proceedings CP936, 2007, p.p. 519--522.
    44. URL
  44. Hari V.: Convergence to diagonal form of block Jacobi-type processes. Numerical Analysis and Applied Mathematics, Editors: Simos E.T., Psihoylos G., Tsitouras Ch. : American Institute of Physics, Melville, New York 2008, 253-256. URL
  45. Matejaš J., Hari V.: Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices, BIT Numerical Mathematics 48 (4) (2008), pp. 769-781, (doi.org/10.1007/s10543-008-0200-1) URL
  46. Hari V., Matejaš J.: Accuracy of two SVD algorithms for 2×2 triangular matrices. Applied Mathematics and Computation. Vol. 210 No. 1 (2009), pp. 232-257, (doi.org/10.1016/j.amc.2008.12.086) URL
  47. Hari V.: On Block Jacobi Annihilators. Proceedings of ALGORITMY 2009. Editors: A. Handlovičová, P. Frolkovič, K. Mikula, D. Ševčovič, Comenius University, Bratislava (ur.). Vysoké Tatry – Podbanské, Slovačka : Slovak University of Technology in Bratislava, Publishing House of STU, 2009. 429-439. URL
  48. Hari V., Singer S., Singer S.: Block-oriented J-Jacobi methods for Hermitian matrices. Linear Algebra and Its Applications 433 (2010), pp. 1491--1512, (doi.org/10.1016/j.laa.2010.06.032) URL
  49. Matejaš J., Hari V.: Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices. Applied Mathematics and Computation 217, 3726--3746 (2010) URL
  50. Hari V., Singer S., Singer S.: Full Block $J$--Jacobi Method for Hermitian Matrices. Linear Algebra and its Applications. 444 (2014) ; 1-27 URL
  51. Hari V.: Convergence to Diagonal Form of Block Jacobi-type Methods. Num. Math. 129 (3) (2015) 449-481 URL
  52. Matejaš J., Hari V.: On High Relative Accuracy of the Kogbetliantz Method. Linear Algebra and Its Appl. 464 (2015), pp. 100-129, (doi.org/10.1016/j.laa.2014.02.024) URL
  53. Hari V., Begović Kovač E.: On the global convergence of the Jacobi method. PAMM: Proceedings in applied mathematics and mechanics. 16 (2016) 725-726 URL
  54. Hari V.: On the complex HZ method for PGEP, AIP Conference Proceedings 1776, 090011 (2016), (doi.org/10.1063/1.4965375) URL
  55. Begović Kovač E., Hari V.: On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies. Linear algebra and its applications. 524 (2017), pp. 199-234,(doi.org/0.1016/j.laa.2017.03.003) URL
  56. Hari V., Begović Kovač E.: Convergence of the cyclic and quasy-cyclic block Jacobi methods, Electronic transactions on numerical analysis 46 (2017), pp. 107-147 href="https://etna.ricam.oeaw.ac.at/vol.46.2017/pp107-147.dir/pp107-147.pdf"> URL
  57. Begović Kovač E., Hari V.: Jacobi method for symmetric matrices of order $4$ converges for every cyclic pivot strategy, Numerical Algorithms 78 (3) (2018), pp. 701-720, (doi.org/10.1007/s11075-017-0396-8) URL
  58. Hari V.: Globally convergent Jacobi methods for positive definite matrix pairs. Numerical Algorithms 79 (1) (2018), pp. 221–249, (doi.org/10.1007/s11075-017-0435-5) URL
  59. Matejaš J., Hari V.: On the Accuracy of the Element-wise Jacobi Methods for PGEP, Proc. Appl. Math. Mech., (2018), (doi:10.1002/pamm.201800023) URL
  60. Hari V.: Complex Falk-Langemeyer method, Proc. Appl. Math. Mech., 18: e201800020, (doi:10.1002/pamm.201800020) URL
  61. Hari V.: Complex Cholesky-Jacobi algorithm for PGEP. In International conference of numerical Analysis and applied mathematics (ICNAAM 2018), vol.~2116, AIP conference proceedings, 2019, (doi.org/10.1063/1.5114478) URL
  62. Hari V.: On the global convergence of the complex HZ method. SIAM J. Matrix Anal. Appl. 40(4) (2019), pp. 1291-1310, (doi.org/10.1137/19M1265594) URL
  63. Hari V.: On the complex Falk–Langemeyer method. Numerical Algorithms 83 (2020), pp. 251-483, (doi.org/10.1007/s11075-019-00689-8) URL
  64. Hari V., Begović Kovač E.: On the convergence of complex Jacobi methods. Linear and Multilin. Algebra 69(3) (2021), pp. 489-514, (doi.org/10.1080/03081087.2019.1604622) URL
  65. Hari V.: On the global convergence of the block {J}acobi method for the positive definite generalized eigenvalue problem, Calcolo 58(24) (2021), (doi.org/10.1007/s10092-021-00415-8) URL
  66. Hari V.: On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem, Linear Algebra Appl. 632(1) (2022), pp. 153--192, (doi.org/ 10.1016/j.laa.2021.08.022) URL
  67. Matejaš J., Hari V.: The high relative accuracy of the HZ method, Applied Mathematics and Computation 433 (2022), pp. 1-21 (plus Suppl 1-12), (doi.org/10.1016/j.amc.2022.127358) URL
  68. Begović Kovač E., Hari V.: Convergence of the complex block Jacobi methods under the generalized serial pivot strategies, Linear Algebra Appl. 699 (2024), pp. 421-458, (doi.org/10.1016/j.laa.2024.07.012) URL
  69. Hari V.:Global and Quadratic Convergence of the Block Jacobi Method for Hermitian Matrices under the deRijk Pivot Strategy. Electronic Transactions on Numerical Analysis (ETNA) 63 (2025), pp. 83-128, (doi.org/10.1553/etna_vol63s83) URL
  70. Hari V., Novaković V.: On Convergence and Accuracy of the J-Jacobi Method under the deRijk Pivot Strategy. Electronic Transactions on Numerical Analysis (ETNA) 65 (2026), pp. 26-62. (doi.org/10.1553/etna_vol65s26) URL