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Spektralne dekompozicije - numericke metode i primjene
(037-0372783-2750)

 
 
 
Verzija za printanje   
 
  Poglavlja u knjizi
 

1. Drmač, Zlatko.
Computing eigenvalues and singular values to high relative accuracy // Handbook of linear algebra / Hogben, Leslie (ur.).
Boca Raton, FL : Chapman & Hall/CRC, 2013. Str. 59-1-59-18. URL link to work
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  Izvorni znanstveni i pregledni radovi u CC časopisima
 

1. Giani, Stefano; Grubišić, Luka; Międlar, Agnieszka; Ovall, Jeffrey.
Robust error estimates for approximations of non- self-adjoint eigenvalue problems. // Numerische Mathematik. 133 (2016) , 3; 471-495 (članak, znanstveni). URL link to work

2. Bosner, Nela.
Efficient Algorithm for Simultaneous Reduction to the m-Hessenberg–Triangular–Triangular Form. // BIT Numerical Mathematics. 55 (2015) , 3; 677-703 (članak, znanstveni). prilozen text radaURL link to workURL link to work

3. Bujanović, Zvonimir; Drmač, Zlatko.
A new framework for implicit restarting of the Krylov-Schur algorithm. // Numerical linear algebra with applications. 22 (2015) , 2; 220-232 (članak, znanstveni). URL link to workURL link to work

4. Grubišić, Luka; Kressner, Daniel.
On the eigenvalue decay of solutions to operator Lyapunov equations. // Systems & control letters. 73 (2014) ; 42-47 (članak, znanstveni). URL link to workURL link to work

5. Grubišić, Luka; Truhar, Ninoslav; Miodragović, Suzana.
The rotation of eigenspaces of perturbed matrix pairs II. // Linear and multilinear algebra. 62 (2014) , 8; 1010-1031 (članak, znanstveni). URL link to workURL link to work

6. Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey.
A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement. // Applied numerical mathematics. 66 (2013) ; 1-29 (članak, znanstveni). URL link to workURL link to work

7. Bosner, Nela; Bujanović, Zvonimir; Drmač, Zlatko.
Efficient generalized Hessenberg form and applications. // Acm transactions on mathematical software. 39 (2013) , 3; 19-1-19- (članak, znanstveni). prilozen text radaURL link to workURL link to work

8. Bujanović, Zvonimir.
On the permissible arrangements of Ritz values for normal matrices in the complex plane. // Linear algebra and its applications. 438 (2013) , 12; 4606-4624 (članak, znanstveni). URL link to workURL link to work

9. Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey S.
Error control for hp-adaptive approximations of semi-definite eigenvalue problems. // Computing. 95 (2013) , S1; 235-257 (članak, znanstveni). URL link to workURL link to work

10. Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Veselić, Krešimir.
Representation Theorems for Indefinite Quadratic Forms Revisited. // Mathematika. 59 (2013) , 1; 169-189 (članak, znanstveni). URL link to workURL link to work

11. Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Veselić, Krešimir.
The tan (2THETA) Theorem for Indefinite Quadratic Forms. // Journal of spectral theory. 3 (2013) , 1; 83-100 (članak, znanstveni). URL link to workURL link to work

12. Bujanović, Zvonimir; Drmač, Zlatko.
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD. // BIT (Nordisk Tidskrift for Informationsbehandling). 52 (2012) , 4; 827-849 (članak, znanstveni). URL link to workURL link to work

13. Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey S.
Benchmark results for testing adaptive finite element eigenvalue procedures. // APPLIED NUMERICAL MATHEMATICS. 62 (2012) , 2; 121-140 (članak, znanstveni). URL link to workURL link to work

14. Grubišić, Luka; Nakić, Ivica.
Error representation formula for eigenvalue approximations for positive definite operators. // Operators and Matrices. 6 (2012) , 4; 793-808 (članak, znanstveni). URL link to workURL link to work

15. Grubišić, Luka; Truhar, Ninoslav; Veselić Krešimir.
The Rotation of Eigenspaces of Perturbed Matrix Pairs. // Linear algebra and its applications. 436 (2012) , 11; 4161-4178 (članak, znanstveni). URL link to workURL link to work

16. Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan.
A note on shifted Hessenberg systems and frequency response computation. // Acm transactions on mathematical software. 38 (2011) , 2; 12-1-12-16 (članak, znanstveni). URL link to workURL link to work

17. Bosner, Nela; Drmač, Zlatko.
Subspace gap residuals for Rayleigh--Ritz approximations. // SIAM journal on matrix analysis and applications. 31 (2009) , 1; 54-67 (članak, znanstveni). URL link to work

18. Drmač, Zlatko.
A global convergence proof for cyclic Jacobi methods with block rotations. // SIAM journal on matrix analysis and applications. 31 (2009) , 3; 1329-1350 (članak, znanstveni). prilozen text radaURL link to workURL link to work

19. Grubišić, Luka.
Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit. // Integral Equations and Operator Theory. 65 (2009) , 1; 51-81 (članak, znanstveni). URL link to workURL link to work

20. Grubišić, Luka; Ovall, Jeffrey.
On Estimators for Eigenvalue/Eigenvector Approximations. // Mathematics of Computation. 78 (2009) , 266; 739-770 (članak, znanstveni). URL link to work

21. Drmač, Zlatko; Bujanović, Zvonimir.
On the failure of rank revealing QR factorization software : a case study. // ACM Transactions on Mathematical Software. 35 (2008) , 2; 12:1-12:28 (članak, znanstveni). prilozen text radaURL link to workURL link to work

22. Drmač, Zlatko; Veselić, Krešimir.
New fast and accurate Jacobi SVD algorithm. I. // SIAM journal on matrix analysis and applications. 29 (2008) , 4; 1322-1342 (članak, znanstveni). URL link to work

23. Drmač, Zlatko; Veselić, Krešimir.
New fast and accurate Jacobi SVD algorithm. II. // SIAM journal on matrix analysis and applications. 29 (2008) , 4; 1343-1362 (članak, znanstveni). URL link to work

24. Bosner, Nela; Barlow, Jesse L.
Block and Parallel Versions of One-Sided Bidiagonalization. // Siam Journal on Matrix Analysis and Applications. 29 (2007) , 3; 927-953 (članak, znanstveni). URL link to work

25. Grubišić, Luka; Veselić, Krešimir.
On weakly formulated Sylvester equations and applications. // Integral Equations and Operator Theory. 58 (2007) , 2; 175-204 (članak, znanstveni). URL link to work
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  Znanstveni radovi u drugim časopisima
 

1. Drmač, Zlatko; Šikić, Tomislav.
On Kac parameters and spectral decomposition of a matrix of specialized roots of Lie algebra $\mathfrak{; ; sl}; ; _n$. // RAD HAZU. MATEMATIČKE ZNANOSTI. 18 (2014) , 519; 55-72 (članak, znanstveni). prilozen text rada

2. Bosner, Nela.
Increasing efficiency of inverse iteration. // Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche. 54 (2008) , 2; 203-216 (članak, znanstveni). URL link to workURL link to work

3. Grubišić, Luka.
On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices. // Proceedings in Applied Mathematics and Mechanics. 7 (2007) , 1; 2050001-2050002 (članak, znanstveni). URL link to workURL link to work
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  Plenarna izlaganja
 

1. Drmac, Zlatko.
A new framework for polynomial filtering in implicitly restarted Arnoldi type algorithms // .
(plenarno predavanje,neobjavljeni rad,znanstveni).

2. Drmač, Zlatko.
Accurate and Stable Numerical Linear Algebra in Control // .
(plenarno predavanje,neobjavljeni rad,znanstveni).

3. Drmač, Zlatko.
New fast and accurate Jacobi SVD algorithm // .
(plenarno predavanje,neobjavljeni rad,znanstveni). URL link to work
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  Objavljena pozvana predavanja na skupovima
 

1. Giani, Stefano; Grubišić, Luka; Miedlar, Agnieszka; Ovall, Jeffrey.
Cluster robust estimates for eigenvalues and eigenfunctions of convection-diffusion-reaction operators // Oberwolfach Report 56 / Knyazev, Andrew ; Mehrmann, Volker ; Xu, Jinchao (ur.).
Zuerich : European Mathematical Society, 2013. 3259-3262 (pozvano predavanje,međunarodna recenzija,objavljeni rad,znanstveni).

2. Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey.
A robust hierarchical eigenvalue/eigenvector enhancement // Linear and Nonlinear Eigenproblems for PDEs, Mathematisches Forschungsinstitut Oberwolfach, Report No 37/2009, / Knyzev, Andrew ; Mehrmann, Volker ; Osborn, John ; Xu, Jinchao (ur.).
Zuerich : European Mathematical Society, 2009. 2053-2055 (pozvano predavanje,međunarodna recenzija,objavljeni rad,znanstveni). URL link to work
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  Znanstveni radovi u zbornicima skupova s međunar.rec.
 

1. Drmač, Zlatko; Grubišić, Luka; Jeričević, Željko.
Pseudospectral Picture of the Seismic Algorithm for Surface Multiple Attenuation // MIPRO, 2011 Proceedings of the 34th International Convention / Biljanović, Petar ; Skala, Karolj (ur.).
Opatija : MIPRO Croatian Society, 2011. 354-359 (predavanje,međunarodna recenzija,objavljeni rad,znanstveni). URL link to work
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  Sažeci u zbornicima skupova
 

1. Giani, Stefano; Grubišić, Luka; Miedlar, Agnieszka; Ovall, Jeffrey.
Kato's square root theorem as a basis for relative estimation theory of eigenvalue approximations // MAFELAP 2013 / Heuer, Norbert et.al. (ur.).
Uxbridge : Brunel University, 2013. 133-133 (pozvano predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

2. Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey.
Error control for hp-adaptive approximations of semi-definite eigenvalue problems // 9th International Workshop on Accurate Solution of Eigenvalue Problems / Demmel, James et. al. (ur.).
Napa Valley, USA : UC Berkeley, 2012. 33-33 (predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

3. Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey.
Robust A-Posteriori Error Estimates for Semi-definite Eigenvalue Problems With Known Null Spaces // ESCO 2012, Pilsen / Solin, P. et. al. (ur.).
Pilsen : FEMhub Inc., 2012. 58-58 (pozvano predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

4. Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan.
Numerical Implementation of the Iterative Rational Krylov Algorithm for Optimal H2 Model Reduction // Householder Symposium XVIII on Numerical Linear Algebra / Overton, Michael et. al. (ur.). - Berkeley : Lawrence Berkeley National Laboratory , 2011. 60..
(poster,međunarodna recenzija,sažetak,znanstveni). URL link to work

5. Grubišić, Luka; Miedlar, Agnieszka; Ovall, Jeffrey.
Basic Iterative Algorithms of Numerical Linear Algebra as Building Blocks for Hybrid Adaptive Finite Element Methods // Householder Symposium XVIII on Numerical Linear Algebra / Overton, Michael et. al. (ur.).
Berkeley : Lawrence Berkeley National Laboratory, 2011. 91-92 (poster,međunarodna recenzija,sažetak). URL link to work

6. Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Veselić, Krešimir.
On quasi-definite quadratic forms in a Hilbert space and applications // 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM).
(predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

7. Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Veselić, Krešimir.
Numerical linear algebra for spectral theory of block operator matrices // Householder Symposium XVII Book of Abstracts.
(pozvano predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

8. Grubišić, Luka; Veselić, Krešimir; Tambača, Josip.
On relative perturbation theory for block operator matrices // 6th International Congress on Industrial and Applied Mathematics.
(predavanje,međunarodna recenzija,sažetak,znanstveni). URL link to work

9. Grubišić, Luka; Kostrykin, Vadim; Makarov, K; Veselić, Krešimir.
On quasi-definite quadratic forms in a Hilbert space // Fifth Conference on Applied Mathematics and Scientific Computing.
(predavanje,domaća recenzija,sažetak,znanstveni).
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  Neobjavljena sudjelovanja na skupovima
 

1. Bosner, Nela; Bujanović, Zvonimir; Drmač, Zlatko.
A GPU algorithm for computing the frequency response // .
(predavanje,neobjavljeni rad,znanstveni).

2. Benner, Peter; Bujanović, Zvonimir.
On the invariant subspace approach to solving the Riccati equation // .
(predavanje,neobjavljeni rad,znanstveni).

3. Bosner, Nela.
Fast Algorithm for Computing the Condensed Form of Four Matrices for the VZ Algorithm // .
(poster,neobjavljeni rad,znanstveni).

4. Benner, Peter; Bujanović, Zvonimir.
The invariant subspace approach to solving the Riccati equation // .
(predavanje,neobjavljeni rad,znanstveni).

5. Drmac, Zlatko.
A reproducing-kernel framework for H2 model order reduction // .
(predavanje,međunarodna recenzija,neobjavljeni rad,znanstveni).

6. Drmac, Zlatko.
Numerical implementation of the iterative rational Krylov algorithm for optimal H2 model order reduction // .
(predavanje,međunarodna recenzija,neobjavljeni rad,znanstveni).

7. Bosner, Nela; Bujanović, Zvonimir; Drmač, Zlatko.
GPU algorithms for solving shifted systems with multiple right–hand sides // .
(predavanje,neobjavljeni rad,znanstveni).

8. Bujanović, Zvonimir.
On the Ritz Values of Normal Matrices // .
(predavanje,neobjavljeni rad,znanstveni).

9. Drmac, Zlatko.
Accurate SVD of Cauchy-type matrices and applications // .
(predavanje,međunarodna recenzija,neobjavljeni rad,znanstveni).

10. Drmač, Zlatko.
Accurate and Stable Numerical Linear Algebra in Control // .
(pozvano predavanje,neobjavljeni rad,znanstveni). URL link to work

11. Bosner, Nela; Bujanović, Zvonimir; Drmač, zlatko.
Efficient algorithms for solving shifted systems with multiple right–hand sides // .
(predavanje,neobjavljeni rad,znanstveni).

12. Bujanović, Zvonimir.
On the Ritz Values of Normal Matrices // .
(predavanje,neobjavljeni rad,znanstveni). prilozen text radaURL link to work

13. Bujanović, Zvonimir.
A hybrid m-Hessenberg reduction algorithm // .
(predavanje,neobjavljeni rad,znanstveni). prilozen text radaURL link to work

14. Drmač, Zlatko; Beattie, Christopher; Gugercin, Serkan.
An Implementation of the Iterative Rational Krylov Method for Optimal H2 Model Reduction // .
(pozvano predavanje,neobjavljeni rad,znanstveni). URL link to work

15. Bujanović, Zvonimir; Drmač, Zlatko.
On the Convergence of Block Kogbetliantz Methods for Calculating the SVD // .
(predavanje,neobjavljeni rad,znanstveni). URL link to work

16. Bujanović, Zvonimir; Drmač, Zlatko.
On the Failure of Rank Revealing QR Factorization Software // .
(predavanje,neobjavljeni rad,znanstveni).
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  Disertacije
 

1. Filipović, Marko.
Sparse representations of signals for information recovery from incomplete data / doktorska disertacija.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odsjek, 5. 4. 2013, 126 str. Voditelj: Kopriva, Ivica ; Drmač, Zlatko.prilozen text radaURL link to work

2. Bujanović, Zvonimir.
Krylov type methods for large scale eigenvalue computations / doktorska disertacija.
Zagreb : Prirodoslovno matematički fakultet - Matematički odsjek, 01.04. 2011., 158 str. Voditelj: Drmač, Zlatko.prilozen text rada

3. Tomljanović, Zoran.
Optimal damping for vibrating systems using dimension reduction / doktorska disertacija.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odsjek, 31.05. 2011, 134 str. Voditelj: Truhar, Ninoslav ; Benner, Peter ; Drmač, Zlatko.
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  Diplomski radovi
 

1. Mlinac, Igor.
Izbjegavanje sudara na moru kao diferencijalna igra / diplomski rad.
Zagreb : PMF-Matematički odjel, 09.12. 2009, 36 str. Voditelj: Grubišić, Luka.

2. Petrina, Ivana.
Analitičke i numeričke metode za određivanje cijene američkih opcija / diplomski rad.
Zagreb : PMF-matematički odjel, 27.07. 2009, 72 str. Voditelj: Grubišić, Luka.

3. Polić, Ivana.
Prepoznavanje lica sa slika Eigenface metodom / diplomski rad.
Zagreb : PMF-matematički odjel, 20.03. 2009, 40 str. Voditelj: Grubišić, Luka.

4. Rukavina, Marijana.
Primjena algoritama k-sredina u dubinskoj analizi kolekcije tekstualnih podataka / diplomski rad.
Zagreb : PMF-matematički odjel, 22.12. 2008, 56 str. Voditelj: Grubišić, Luka.
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  Druge vrste radova
 

1. Bujanović, Zvonimir; Drmač, Zlatko.
How a numerical rank revealing instability affects Computer Aided Control System Design, 2009. (tehničko izvješće, znanstvemi rad u pripremi i programski paket). URL link to work

2. Drmač, Zlatko; Veselić, Krešimir.
SIAM SIAG/Linear Algebra Prize, 2009. (međunarodna strukovna nagrada). URL link to work

3. Drmač, Zlatko.
dgejsv.f, dgesvj.f dgsvj0.f, dgsvj1.f sgejsv.f, sgesvj.f sgsvj9.f, sgsvj1.f, 2008. (računalni programski paket). URL link to work

4. Drmač, Zlatko; Bujanović Zvonimir.
New XGEQPF, XLAPF2, XLAQPS and XGEQP3 in LAPACK, 2006, 2007. (računalni programski paket). URL link to work

5. Grubišić, Luka.
On Temple--Kato like inequalities and applications, 2007. (izvješće). URL link to work
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