Vjeran Hari

Papers

• Hari V.: A Jacobi-like Eigenvalue Algorithm for General Real Matrices. Glasnik Matematički 11 (31) (1976) 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) 183--195.
• Hari V.: On the global convergence of the Eberlein Method for Real atrices. Numer. Math. 39 (1982) 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) 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) 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., 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
• Slapnicar 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. dvi
• Hari V., 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.: Butterfly Matrices and the Modulus Kogbetliantz Method. Sent to Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) Vol. 2 No 1--2 (2007) 49--66. ps
• 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 Josip, Hari Vjeran: Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices. BIT Numerical Mathematics. Vol. 48 No. 4 (2008) 769-781.
• Hari Vjeran, Matejaš Josip: Accuracy of two SVD algorithms for 2×2 triangular matrices. Applied Mathematics and Computation. Vol. 210 No. 1 (2009) 232-257.
• 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, 2009. 429-439.
  http://pc2.iam.fmph.uniba.sk/amuc/_contributed/algo2009/hari.pdf
• Hari Vjeran, Singer Sanja, Singer Saša: Block-oriented J-Jacobi methods for Hermitian matrices. Linear Algebra Appl. 433 (2010) 1491--1512.
• Matejaš Josip, Hari, Vjeran: Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices. Applied Mathematics and Computation 217, 3726--3746 (2010)
• Hari Vjeran: Convergence to Diagonal Form of Block Jacobi-type Methods. Unpublished paper, University of Zagreb 2010. pdf
• Hari Vjeran: Convergence to Zero of Off-diagonal Part in Block Jacobi-type Methods. Under revision, submitted for publ. in Num. Mathematik. pdf
• Hari Vjeran, Singer Sanja, Singer Saša: Full Block $J$--Jacobi Method for Hermitian Matrices. Proposed for publication in LAA (2012). pdf
  
  
  Croatian language:
  
  
  
  Sveuciliste u Zagrebu
  Prirodoslovno-matematicki fakultet
  Matematicki odjel
  Bijenicka c. 30
  10000 Zagreb
  
  
  
  

  Skripte:

  • Vjeran Hari, Diana Simic: Latex: sistem za pripremu dokumenata. Kratki uvod. PMF-Matematicki odjel, 1993. dvi
    
    

    Predavanja iz linearne algebre (2 sata tjedno) za fizicare: ( pdf , ps )

    
    

    Način ocjenjivanja i skupljanja bodova: ( pdf )

    
    

    Obavijesti:

    
    Ispitni rok iz Linearne algebre 2 održat će se u srijedu 21.09. od 15 do 17 sati. Studenti će moći polagati one dijelove gradiva (zadaci, teorija) za koje nisu ispunili bodovni prag.
    
    

    Iterativne metode (šk.god. 2011./12.)

    
    Rezultati testova ( pdf )
    Studenti mogu vidjeti svoje testove u utorak 14.02.2012. od 10:30 do 12 sati. Molim studente da donesu ili domaće zadaće ili spreme neku prezentaciju gradiva ako žele dodatne bodove. Također, molim one koji su održali seminar da mi pošalju prezentaciju, pa da unesem bodove.