Vjeran Hari
University of Zagreb
Department of Mathematics
Bijenicka c. 30
10000 Zagreb
Croatia
Phone: +385-1-4605748
Fax: +385-1-4680335
E. mail:
hari@math.hr
Papers
- Hari, V.: A Jacobi-like Eigenvalue Algorithm for General Real Matrices.
Glasnik Matematički 11 (31) (1976), pp. 367--378.
- Hari, V.: On Convergence of the Paardekooper Method for Skew-symmetric
Matrices. (Croatian language) M. S. Thesis, University of Zagreb
1980.
- Hari, V.: On the Quadratic Convergence of the Paardekooper Method I.
Glasnik Matematički 17 (37) (1982), pp. 183--195.
- Hari, V.: On the global convergence of the Eberlein Method for Real atrices.
Numer. Math. 39 (1982), pp. 361--369.
- Hari, V.: On Cyclic Jacobi Methods for the Positive Definite Generalized
Eigenvalue Problem. Ph. D. Thesis, University of Hagen 1984.
- Hari, V.: On the Convergence of Certain Cyclic Jacobi-like Norm-reducing
Processes for Real Matrices. Radovi Matematički 1 (1985), pp. 121--147.
- Hari, V.: On Jacobi-type Congruence Transformations for a Positive Definite
Matrix. Numerical Methods and Approximation Theory, Novi Sad, September 4--6, 1985.
- Hari, V.: On the Convergence of Cyclic Jacobi-like Processes.
Linear Algebra and Its Appl. 81 (1986), pp. 105--127.
- Hari, V.: On the Quadratic Convergence of Jacobi Algorithms.
Radovi Matematički 2 (1986) 127--146.
- Hari, V., Veselić, K.: On Jacobi Methods for Singular Value Decompositions.
SIAM J. Sci. Stat. Comput. Vol. 8, No.5 (1987) 741--754.
- Hari, V.: On Almost Diagonal Square Matrices With Multiple Singular Values.
Radovi Matematički 4 (1988) 209--225.
- 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.
- Veselić, K. and Hari, V.: A Note on the One-sided Jacobi Algorithm.
Numer.Math. 56 (1989) 627--633.
- Hari, V.: On Pairs of Almost Diagonal Matrices. Linear
Algebra and Its Appl. 148 (1991) 193--223.
- Hari, V.: On Sharp Quadratic Convergence Bounds for the Serial Jacobi Methods. Numer.
Math. 60 (1991) 375--406. dvi
- Slapničar, I. and 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.
dvi
- Hari, V. and Rhee, H.N.: On the Quadratic Convergence of the Paardekooper Method II.
Glasnik Matematicki, Vol. 27 (47) (1992) 369-391. dvi
- Rhee H.N., Hari V.: On the Global and Cubic Convergence of a Quasy-cyclic Jacobi
Method. Numer. Math. 66, (1993) 97--122. dvi
- 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.
- Drmac Z., Hari V.: On the Quadratic Convergence Bounds for the J-symmetric Jacobi Method.
Numer. Math. 64 (1993) 147--180. dvi
- 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.
dvi
- Park H., Hari V.: A Real Algorithm for the Hermitian Eigenvalue Decomposition. BIT 33
(1993) 158--171. dvi
- Rhee H.N., Hari V.: On the Cubic Convergence of the Paardekooper Method. BIT 35
(1995)116--132. dvi
- Drmac 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.
dvi
- Hari V., Drmac Z: On Scaled Almost Diagonal Hermitian Matrix Pairs.
SIAM J. Matrix Anal. Appl. Vol.\ 18.\ No.\ 4 (1997) 1000-1012. dvi
- Matejas J., Hari V.: Scaled Almost Diagonal Matrices with Multiple Singular Values.
ZAMM. Vol.\ 78 (1998) 2, 121--131. dvi
- Pupovci D., Hari V.: On the Convergence of Parallelized Eberlein Methods.
Radovi matematički. 8 (1992 (1999)) 249-267. dvi
- V. Hari: Structure of Almost Diagonal Matrices. Mathematical Communications 4 (1999),
135--158. dvi
- Matejas 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. dvi
- V. Hari, Matejaš J: Quadratic Convergence of Scaled Iterates by Kogbetliantz Method.
Proposed for publication in Computing dvi
- Pupovci D., Hari V.: On the Convergence of Parallelized Eberlein Methods. \ Radovi
matematički. 8 (1992 (1999)) 249-267
- Hari V.: Structure of Almost Diagonal Matrices. Mathematical
Communications 4 (1999), 135--158 (review paper).
- Matejaš J., Hari V.: Scaled Iterates by Kogbetliantz Method,
Proceedings of the 1st Conference on Applied Mathematics and
Computations. Dubrovnik, Croatia, September 13--18, 1999.
Publisher Dept. of Mathematics, University of Zagreb, 2001.
pp. 1--20.
- 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..
- Hari V., Matejaš J.: Quadratic Convergence of Scaled
Iterates by Kogbetliantz Method. Computing 16 (2003) 83-105.
- Hari, Vjeran: Accelerating the SVD Block-Jacobi Method, Computing 75 (2005) 27-53.
- 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. ps
- 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. ps
- Hari V., Singer Sanja, Singer Saša: 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.
- Matejaš J., Hari V.: Quadratic Convergence Estimate of Scaled Iterates by J-symmetric Jacobi Method, Linear Algebra and Its Applications 417 (2006) 434--465.
- Hari V.: Convergence Of A Block-Oriented Quasi-Cyclic Jacobi Method.
SIAM J. Matrix Analysis and Applications, Vol 29 No 2 (2007) 349--369. ps
- Hari V.: Quadratic Convergence of a Special Quasi-cyclic Jacobi Method. Annali dell'Universita' di Ferrara, vol. 53 no 2, pp. 255-270. ps
- 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. ps
- Vjeran Hari, Sanja Singer and Saša Singer:
Cache-Oriented Implementation of the Indefinite Block-Jacobi Method, to appear in 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.
- Hari V. and 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. pdf
- Vjeran Hari: 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.
- Sanja Singer, Saša Singer, Vjeran Hari, Krešimir Bokulić, Davor Davidović, Marijan Jurešić and Aleksandar Uščumlić: 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.
- Hari, Vjeran: 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.
- Matejaš, J. and 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)
- Hari, V. and 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)
- Hari, Vjeran: 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. http://pc2.iam.fmph.uniba.sk/amuc/_contributed/algo2009/hari.pdf
- Hari, V., Singer, Sanja, Singer, Saša: 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)
- Matejaš, J. and Hari, V.: Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices. Applied Mathematics and Computation 217, 3726--3746 (2010)
- Hari, V., Singer Sanja, Singer Saša: Full Block $J$--Jacobi Method for Hermitian Matrices. Linear Algebra and its Applications. 444 (2014) ; 1-27
- Hari, V.: Convergence to Diagonal Form of Block Jacobi-type Methods. Num. Math. 129 (3) (2015) 449-481
- Matejaš, J. and 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)
- Hari, V. and Begović Kovač, E.: On the global convergence of the Jacobi method. PAMM: Proceedings in applied mathematics and mechanics. 16 (2016) 725-726
- Hari, V.: On the complex HZ method for PGEP, AIP Conference Proceedings 1776, 090011 (2016), (doi.org/10.1063/1.4965375)
- Begović Kovač, E. and 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)
- Hari, V. and Begović Kovač, E.: Convergence of the cyclic and quasy-cyclic block Jacobi methods, Electronic transactions on numerical analysis 46 (2017), pp. 107-147
- Begović Kovač, E. and 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)
- 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)
- Matejaš, J. and Hari, V.: On the Accuracy of the Element-wise Jacobi Methods for PGEP, Proc. Appl. Math. Mech., (2018), (doi:10.1002/pamm.201800023)
- Hari, V.: Complex Falk-Langemeyer method, Proc. Appl. Math. Mech., 18: e201800020, (doi:10.1002/pamm.201800020)
- 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)
- 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)
- Hari, V.: On the complex Falk–Langemeyer method. Numerical Algorithms 83 (2020), pp. 251-483,
(doi.org/10.1007/s11075-019-00689-8)
- 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)
- 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)
- 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)
- Matejaš, J. and 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)
- Begović Kovač, E. and 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)
- Hari, V.: Global and Quadratic Convergence of the Block Jacobi Method for Hermitian Matrices under the deRijk Pivot Strategy. To appear in ETNA, pp. 1-50. (check https://etna.math.kent.edu/)
The last completed project