| L. Grubišić S. Miodragović and N. Truhar
Double angle theorems for definite matrix pairs
(Electronic Transactions on Numerical Analysis, Volume 45, 33-57, 2016)
A preprint is available |
| S. Giani, L. Grubišić and J.S Ovall
Benchmark results for testing adaptive finite element eigenvalue procedures II
(Applied Numerical Mathematics, Volume 102, 1-16, 2016)
A preprint is available |
| S. Giani, L. Grubišić, A. Międlar and J.S Ovall
Robust error estimates for approximations of non-self-adjoint eigenvalue problems.
(Numerische Mathematik, Volume 133, Issue 3, pp 471-495, 2016) |
L. Grubišić and A. Grbić
Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions
(Applied Mathematics and Computation, Volume 267, 632-647, 2015.) |
| L. Grubišić and D. Kressner
On the eigenvalue decay of solutions to operator Lyapunov equations.
(Systems and Control Letters, Volume 73, 42-47, 2014.)
A preprint is
available.
|
L. Grubišić, S. Miodragović and N. Truhar
The rotation of eigenspaces of perturbed matrix pairs II
(Linear and Multilinear Algebra, Volume 62, Issue 8, 1010-1031, 2014.) |
| S. Giani, L. Grubišić and J.S Ovall
Error control for hp-adaptive approximations of semi-definite eigenvalue problems
(Computing. 95 (S1), 235-257, 2013.) |
| R. E. Bank, L. Grubišić and J. S. Ovall
A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
(Applied Numerical Mathematics, Volume 66, 1-29, 2013.)
A preprint is
available from MPI MSI Leipzig.
|
| L. Grubišić, Vadim Kostrykin, Konstantin A. Makarov and Kresimir Veselić
The TAN 2THETA Theorem for Indefinite Quadratic Forms
(Journal of Spectral Theory, Volume 3, Issue 1, 83-100, 2013.)
A preprint is available from ArXiv.org. |
| L. Grubišić, Vadim Kostrykin, Konstantin A. Makarov and Kresimir Veselić
Representation Theorems for Indefinite Quadratic Forms Revisited
(Mathematika, Volume 59, Issue 01, pp. 169-189, 2013.)
A preprint is available from ArXiv.org. |
| L. Grubišić, Ninoslav Truhar and Kresimir Veselić
The Rotation of Eigenspaces of Perturbed Matrix Pairs
(Linear Algebra and Its Applications, Volume 436, 4161-4178, 2012.)
A preprint is available from ArXiv.org. |
| L. Grubišić and I. Nakić
Error representation formula for eigenvalue approximations for positive definite operators
(Operators and Matrices, Volume 6, Number 4, 2012, 793--808)
NOTE: This manuscript supersedes a previous one titled
On Temple--Kato like inequalities and applications
|
| S. Giani, L. Grubišić and J.S. Ovall
Benchmark results for testing adaptive finite element eigenvalue procedures
(Applied Numerical Mathematics, Volume 62, Issue 2, 2012, 121-140.)
A preprint is available from U. of Nottingham's eprint server. |
| L. Grubišić, Vadim Kostrykin, Konstantin A. Makarov and Kresimir Veselić
2 x 2 matrices, quadratic forms, and representation theorems
(Oberwolfach Reports, Volume 6, Issue 4, 2009, pp. 2988 - 2989.
published by European Mathematical Society)
A preprint is
avaliable from the MFO webpage. |
L. Grubišić
Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit
(Integral Equations and Operator Theory, Volume 65, Number 1, 2009, Pages 51-81.)
A preprint is available from ArXiv.org.
|
R. E. Bank, L. Grubišić and J. S. Ovall
A robust hierarchical eigenvalue/eigenvector enhancement
(Oberwolfach Reports, Volume 6, Issue 3, 2009, pp. 2053-2055, published by European Mathematical Society)
A preprint is available from the web-page of the MFO Institute.
|
| L. Grubišić and J. S. Ovall
On estimators for eigenvalue/eigenvector approximations
(Mathematics of Computation, Volume 78, Number 266, 2009, Pages 739-770. )
A preprint is
available from MPI MSI Leipzig.
|
L. Grubišić
On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices
(Proceedings of Applied Mathematics and Mechanics, Volume 7, Issue 1, February 2008)
|
| L. Grubišić and K. Veselić
On weakly formulated Sylvester equations and applications
(Integral Equations and Operator Theory, Volume 58, Issue 2, June 2007, Pages 175-204)
A preprint is
available from ArXiv.org.
|
|
L. Grubišić
On eigenvalue and eigenvector
estimates for nonnegative definite operators
(SIAM Journal on Matrix Analysis and Applications, Volume 28, Issue 4, December 2006, Pages 1097-1125)
A preprint is
available from ArXiv.org.
|
| L. Grubišić
A posteriori estimates for eigenvalue/vector approximations
(Proceedings of Applied Mathematics and Mechanics, Volume 6, Issue 1, 4 Dec 2006, Pages 59 - 62) |
L. Grubišić and K. Veselić
On Ritz Approximations for Positive Definite Operators I (Theory)
(Linear Algebra and its Applications, Volume 417, Issues 2-3 , 1 September 2006, Pages 397-422)
One of earlier versions is
available as a preprint. |
L. Grubišić, N. Limić and V. Valković
On Simulations of Random Fields on Bounded Domains
(Proceedings of the Conference on
Applied mathematics and computation (Dubrovnik, 1999), 233--243,
Univ. Zagreb Dep. Math., Zagreb, 2001.) |