List of Publications

 

PhD thesis: Relative Perturbation Theory for Matrix Spectral Decompositions

Master thesis: Perturbation of Invariant Subspaces

List of scientific papers:

  1. Nakić, Ivica; Tomljanović, Zoran; Truhar Ninoslav. Optimal Direct Velocity Feedback,  accepted for publication in Applied mathematics and computation. (2013).

  2. Luka Grubišić, Ninoslav Truhar, Suzana Miodragović. The Rotation of Eigenspaces of Perturbed Matrix Pairs II, accepted for publication in Linear and Multilinear Algebra (2013) (*.pdf)

  3. Emre Mengi, Daniel Kressner, Ivica Nakić, Ninoslav Truhar, Generalized Eigenvalue Problems with Specified Eigenvalues.
    Accepted for publication in The IMA Journal of Numerical Analysis. (2013)

  4. Ivana Kuzmanović, Ninoslav Truhar. Sherman-Morrison-Woodbury formula for Sylvester and $T$-Sylvester equation with applications. International journal of computer mathematics. 90 (2013) , 2; pp. 306-324  (*.pdf)

  5. Ivana Kuzmanović, Ninoslav Truhar. Optimization of the solution of the parameter-dependent Sylvester equation and applications. Journal Of Computational And Applied Mathematics. 237 (2013) , 1;  pp. 136-144 (*.pdf)

  6. Benner, Peter; Tomljanović, Zoran; Truhar Ninoslav. Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction. Numerical linear algebra with applications. 20, (2013) No. 1 pp. 1-17 DOI: 10.1002/nla.833 . (*.pdf)

  7. Li, Ren-Cang; Nakatsukasa Yuji; Truhar Ninoslav; Wang, Wei-guo. Perturbation of Multiple Eigenvalues. Linear Algebra and its Applications. 437,  (2012) No.1. ,  pp. 202–213 (*.pdf)

  8. Kuzmanović Ivana; Tomljanović Zoran; Truhar Ninoslav. Optimization of material with modal damping. Applied mathematics and computation. 218 (2012) pp. 7326-7338  (*.pdf)

    9.

  9. Grubišić Luka; Truhar Ninoslav; Veselić Krešimir. The Rotation of Eigenspaces of Perturbed Matrix Pairs.  Linear algebra and its applications. 463, (2012) No.1. pp. 4161-4178 (*.pdf)

  10. Li, Ren-Cang; Nakatsukasa Yuji; Truhar Ninoslav; Xu Shufang. Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem.  SIAM Journal on Matrix Analysis and Applications 32, (2011), No.2, 642-663 (*.pdf) 

  11. Benner Peter; Tomljanović Zoran; Truhar Ninoslav. Dimension reduction for damping optimization in linear vibrating system. Journal of Applied Mathematics and Mechanics ( ZAMM )  91,  (2011), No. 3 179 – 191   (*.pdf)

  12. Tomljanović Zoran; Truhar Ninoslav; Veselić Krešimir. Optimizing a damped system - a case study. International Journal of Computer Mathematics. 88 (2011) , 7; 1533-1545.(*.pdf)

  13. Benner Peter;  Li Ren-Cang; Truhar Ninoslav. On ADI Method for Sylvester Equations. Journal of Computational and Applied Mathematics. 233 (2009), No. 4; 1035-1045 . (*.pdf)

    14.

  14.  Truhar Ninoslav;  Tomljanović Zoran, Li Ren-Cang; Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts.  Systems and Control Letters 59 (2010) ; 248-257. (*.pdf)

    15.

  15. Truhar Ninoslav; Veselić Krešimir, An efficient method for estimating the optimal dampers' viscosity for linear vibrating systems using Lyapunov equation.  SIAM Journal on Matrix Analysis and Applications. 31 (2009) , 1; 18-39 (*.pdf)

  16. Veselić Krešimir; Truhar Ninoslav. On bounds for discrete semigroups. Operators and Matrices. 3 (2009) , 3; 357-365. (*.pdf)

  17. Truhar Ninoslav; Tomljanović, Zoran. Estimation of optimal damping for mechanical vibrating systems.  International Journal of Applied Mathematics and Mechanics, 5 (2009) , 5; 14-26. (*.pdf)

  18. Ninolsav Truhar, The perturbation bound for the solution of the Lyapunov equation, Mathematical Communication Vol. 12. No.1., pp. 83–94, (2007). (*.pdf)

  19. Ninoslav Truhar and Krešimir Veselić, Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix, Systems and Control Letters 56 (2007) , 7-8; 493-503. (*.pdf)

  20. Ninoslav Truhar, Relative residual bounds for eigenvalues of Hermitian matrices, SIAM Journal on Matrix Analysis and Applications Vol.28, No. 4, pp. 949-960 (2006). (*.pdf )

  21. Ninoslav Truhar and K. Veselić, On some properties of the Lyapunov equation for damped systems, Mathematical Communications 9 (2004) No. 2, 189-197. (*.pdf )

  22. Ninoslav Truhar, An efficient algorithm for damper optimization for linear vibrating systems using Lyapunov equation, Journal of Computational and Applied Mathematics, 172 (2004), 169--182. (*.pdf )

  23. Ninoslav Truhar and Ivan Slapničar, Relative residual bounds for indefinte Hermitian matrices, accepted for publication in Linear Algebra Appl., (2004). (*.pdf )

  24. Ivan Slapničar and Ninoslav Truhar, Relative Perturbation Theory for Hyperbolic Singular Value Problem, Linear Algebra Appl., No. 358,pp. 367-386 (2002). (*.ps )

  25. Ninoslav Truhar and Ren-Cang Li, A sin 2 \theta theorem for graded indefinite Hermitian matrices, Linear Algebra and its Appl. No. 359(1-3), pp.263-276 (2002) (*.ps )

    26.

  26. Ivan Slapničar and Ninoslav Truhar, Relative perturbation theory for hyperbolic eigenvalue problem, Linear Algebra Appl., No. 309, pp. (2002) (*.ps )

  27. Ninoslav Truhar and Ivan Slapničar, Relative perturbation bound for invariant subspaces of Hermitian matrix, Glasnik matematicki, Vol. 35, No. 2, pp. 221-232 (2000). (*.ps )

  28. Ninoslav Truhar and I. Slapničar, Relative perturbation bounds for invariant subspaces of graded indefinite Hermitian matrices, Linear Algebra Appl., No. 301, pp. 171-185 (1999). (*.ps )

 

Professional papers:

  1. Ninoslav Truhar, Dva dokaza Heronove formule, Osječki matematički list, Vol.8 No.2 Ožujak 2009.

  2. D. Markulak, N. Truhar: “Modelling the road bridge-actual traffic dynamic interaction”, International Journal for Engineering Modelling, University
    of Split, Volume 18, No1-2, pp.15-21, (2005).

  3. D. Markulak, N. Truhar: “Road bridge-vechicle dynamic interaction”. Tehnički Vjesnik. 3, 4: 15–21, (2004).

  4. Ž. Vrabec and N. Truhar: ”Free oscillations of a string” (in croatian), Proceedings of the Second Conference: Mathematica in Science, Technology, and Education held in Zagreb
    25.-26. september, 2003.

  5. N. Truhar and K. Veselić, Optimizing the Solution of the Ljapunov Equation, Seminarberichte Band 73, 117.–132. (2002)

  6. Ninoslav Truhar Točno izračunavanje općeg svojstvenog problema  Tehnički Vjesnik časopis tehničkih fakulteta Sveucilista Josipa Jurja Strossmayera u Osijeku 1998. (*.dvi, 23 K)

  7. Gorazd Bučar i Ninoslav Truhar: Utjecaj vremena građenja na cijenu radova Gradjevinar Vol. 48., No. 9, Rujan 1996.

  8. Predavanje pod naslovom Perturbation of Invariant Subspace objavljeno u časopisu Mathematical Communications Vol. 1. (1996) No. 1.(*.dvi, 38 K)

  9. Predavanje pod naslovom Relative perturbation of Invariant Subspace objavljeno u časopisu Mathematical Communications Vol. 1. (1996) No. 2 (zajednički rad sa Ivanom Slapničarem)(*.dvi, 26 K)

Papers published at proceedings of international conferences:

  1. Peter Benner, Zoran Tomljanović, Ninoslav Truhar, Damping Optimization for Linear Vibrating Systems Using Dimension Reduction; In J. Náprstek, J. Horáček, M. Okrouhlík, B. Marvalová, F. Verhulst, and J.T. Sawicki (Eds.), Vibration Problems ICOVP 2011. The 10th International Conference on Vibration Problems,, Springer Proceedings in Physics, Vol. 139, Springer-Verlag, pp. 297-305, 2011. [ISBN: 978-94-007-2068-8]  (*.pdf)

  2. Markulak, Damir; Varevac, Damir; Truhar Ninoslav. The dynamic response of a highway bridge under actual traffic load, Progress in Steel, Composite and Aluminium Structures / Gizejowski, Marian i dr. (ur.). Rzesow : Balkema, 2006. 264-265

  3. Varevac, Damir; Markulak, Damir; Truhar Ninoslav. Seismic response of the long countinuous rc bridge, Concrete Structures for Traffic Network / Sruma, Vlastimir (ur.).
    Hradec Kralove : Czech Concrete Society, 2006. 231-237

  4. D. Varevac, D. Morić, N. Truhar, Mathematical model for calculating eigenvalues of continuous bridge girder in transversal direction, Proceedings of the international symposium organized by Croatian Society of Structural Engineers (CSSE) and Austrian Society for Concrete and Construction Tehnology (ASCCT), in J. Radić Ed., October 21-23, 2004 Dubrovnik, Croatia

  5. N. Truhar, D. Markulak, D. Varevac, Optimizing stiffnesses and positions of dampers for cables on the steel high voltage towers, Proceedings of the international symposium - 40th anniversary of pollack Mihaly engineering faculty - 2002, Engineering Faculty, University of Pecs, May 31-June 1, 2002 Pecs, Hungary

  6. N. Truhar, B. Dukić, Low rank approximation using singular value decomposition, in: T. Hunjak, Lj. Martić, L. Neralić, Eds., Proceedings of the 6th International Conference on Operational Research, Croatian Operational Research Society, Zagreb, 1996, 75–80.

Books:

  • Ninoslav Truhar.  Numerička linearna algebra, Odjel za matematiku,  Osijek, 2010. (*.pdf)

  • Domagoj Matijević  i Ninoslav Truhar.  Uvod u računarstvo, Odjel za matematiku,  Osijek, 2012. (*.pdf)