List of publications


Most of my preprints are (will be) available from ArXiv.org. Preprints which can be downloaded from this page represent preliminary versions of the manuscript and not the final version published. You are advised to prefer the published articles as they contain most recent information.

R. E. Bank, L. Grubišić and J. S. Ovall
A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
(submitted for a review)
A preprint is available from MPI MSI Leipzig.

L. Grubišić, Vadim Kostrykin, Konstantin A. Makarov and Kresimir Veselic
The TAN $2\Theta$ Theorem for Indefinite Quadratic Forms
(submitted for a review)

L. Grubišić, Vadim Kostrykin, Konstantin A. Makarov and Kresimir Veselic
Representation Theorems for Indefinite Quadratic Forms Revisited
(submitted for a review)

L. Grubišić
On Temple--Kato like inequalities and applications
(submitted for a review)

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 MVO 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.)


Thesis

Ritz value estimates and applications in Mathematical Physics published by dissertation.de - Verlag im Internet GmbH; ISBN: 3-89825-998-6.


Unpublished manuscripts

L. Grubišić
Assessing accuracy of finite element eigenvalue/eigenvector approximations
(unpublished manuscript, 2005)



Last modified: March 10, 2010