Luka Grubišić

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All published works

Action	Title	Year	Authors
+ PDF Chat	Subspace embedding with random Khatri-Rao products and its application to eigensolvers	2024	Zvonimir Bujanović Luka Grubišić Daniel Kreßner Hei Yin Lam
+ PDF Chat	Optimal Control of Parabolic Equations – A Spectral Calculus Based Approach	2023	Luka Grubišić Martin Lazar Ivica Nakić Martin Tautenhahn
+	Detecting Near Resonances in Acoustic Scattering	2023	Luka Grubišić Ralf Hiptmair Diego Renner
+	Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms	2022	Christian Engström Stefano Giani Luka Grubišić
+ PDF Chat	Stochastic collocation method for computing eigenspaces of parameter-dependent operators	2022	Luka Grubišić Mikael Saarikangas Harri Hakula
+ PDF Chat	Higher Order Composite DG approximations of Gross–Pitaevskii ground state: Benchmark results and experiments	2021	Christian Engström Stefano Giani Luka Grubišić
+ PDF Chat	A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques	2021	Stefano Giani Luka Grubišić Harri Hakula Jeffrey S. Ovall
+ PDF Chat	Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems	2021	Stefano Giani Luka Grubišić Luca Heltai Ornela Mulita
+	Higher Order Composite DG approximations of Gross–Pitaevskii ground state: benchmark results and experiments	2021	Christian Engström Stefano Giani Luka Grubišić
+	Optimal control of parabolic equations -- a spectral calculus based approach	2021	Luka Grubišić Martin Lazar Ivica Nakić Martin Tautenhahn
+	A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques	2020	Stefano Giani Luka Grubišić Harri Hakula Jeffrey S. Ovall
+ PDF Chat	Diagonalization of indefinite saddle point forms	2020	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Stephan Schmitz Krešimir Veselić
+	A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques	2020	Stefano Giani Luka Grubišić Harri Hakula Jeffrey S. Ovall
+	Stochastic collocation method for computing eigenspaces of parameter-dependent operators.	2019	Luka Grubišić Harri Hakula Mikael Laaksonen
+ PDF Chat	The Tan $2 \Theta$ Theorem in fluid dynamics	2019	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Stephan Schmitz Krešimir Veselić
+	Spectral discretization errors in filtered subspace iteration	2019	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall
+ PDF Chat	Analysis of FEAST Spectral Approximations Using the DPG Discretization	2019	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall Benjamin Quanah Parker
+	Analysis of FEAST spectral approximations using the DPG discretization	2019	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall Benjamin Quanah Parker
+	Analysis of FEAST spectral approximations using the DPG discretization	2019	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall Benjamin Quanah Parker
+	Stochastic collocation method for computing eigenspaces of parameter-dependent operators	2019	Luka Grubišić Harri Hakula Mikael Laaksonen
+	Modeling and discretization methods for the numerical simulation of elastic stents	2018	Luka Grubišić Matko Ljulj Volker Mehrmann Josip Tambača
+	Diagonalization of indefinite saddle point forms	2017	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Stephan Schmitz Krešimir Veselić
+	Filtered Subspace Iteration for Selfadjoint Operators	2017	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall
+	Spectral discretization errors in filtered subspace iteration	2017	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall
+ PDF Chat	Quasi-semidefinite eigenvalue problem and applications	2017	Luka Grubišić Josip Tambača
+	Mixed formulation of the one-dimensional equilibrium model for elastic stents	2017	Luka Grubišić Josip Iveković Josip Tambača Bojan Žugec
+ PDF Chat	Mixed formulation of the one-dimensional equilibrium model for elastic stents	2017	Luka Grubišić Josip Iveković Josip Tambača Bojan Žugec
+	Mixed formulation of the one-dimensional equilibrium model for elastic stents	2017	Luka Grubišić Josip Iveković Josip Tambača Bojan Žugec
+	Spectral discretization errors in filtered subspace iteration	2017	Jay Gopalakrishnan Luka Grubišić Jeffrey S. Ovall
+	Diagonalization of indefinite saddle point forms	2017	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Stephan Schmitz Krešimir Veselić
+	Double angle theorems for definite matrix pairs	2016	Luka Grubišić Suzana Miodragović Ninoslav Truhar
+ PDF Chat	Robust error estimates for approximations of non-self-adjoint eigenvalue problems	2015	Stefano Giani Luka Grubišić Agnieszka Międlar Jeffrey S. Ovall
+	Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions	2015	Luka Grubišić Antonia Grbić
+	Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems	2015	Stefano Giani Luka Grubišić Agnieszka Międlar Jeffrey S. Ovall
+	On the eigenvalue decay of solutions to operator Lyapunov equations	2014	Luka Grubišić Daniel Kreßner
+	The rotation of eigenspaces of perturbed matrix pairs II	2013	Luka Grubišić Ninoslav Truhar Suzana Miodragović
+ PDF Chat	The Tan 2$\Theta$ Theorem for indefinite quadratic forms	2013	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Krešimir Veselić
+ PDF Chat	Error control for $$hp$$ -adaptive approximations of semi-definite eigenvalue problems	2012	Stefano Giani Luka Grubišić Jeffrey S. Ovall
+ PDF Chat	REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED	2012	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Krešimir Veselić
+ PDF Chat	The rotation of eigenspaces of perturbed matrix pairs	2012	Luka Grubišić Ninoslav Truhar Krešimir Veselić
+	Reliable A-Posteriori Error Estimators for hp-Adaptive Finite Element Approximations of Eigenvalue/lEigenvector Problems	2011	Stefano Giani Luka Grubišić Jeffrey S. Ovall
+	Reliable a-posteriori error estimators for $hp$-adaptive finite element approximations of eigenvalue/eigenvector problems	2011	Stefano Giani Luka Grubišić Jeffrey S. Ovall
+	The Rotation of Eigenspaces of Perturbed Matrix Pairs	2010	Luka Grubišić Ninoslav Truhar Krešimir Veselić
+	The Rotation of Eigenspaces of Perturbed Matrix Pairs	2010	Luka Grubišić Ninoslav Truhar Krešimir Veselić
+ PDF Chat	Relative Convergence Estimates for the Spectral Asymptotic in the Large Coupling Limit	2009	Luka Grubišić
+	Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit	2009	Luka Grubišić
+ PDF Chat	On estimators for eigenvalue/eigenvector approximations	2008	Luka Grubišić Jeffrey S. Ovall
+ PDF Chat	On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices	2007	Luka Grubišić
+ PDF Chat	On Weakly Formulated Sylvester Equations and Applications	2007	Luka Grubišić Krešimir Veselić
+ PDF Chat	On Eigenvalue and Eigenvector Estimates for Nonnegative Definite Operators	2006	Luka Grubišić
+	On Temple--Kato like inequalities and applications	2005	Luka Grubišić
+	On weakly formulated Sylvester equations and applications	2005	Luka Grubišić Krešimir Veselić
+	On eigenvalue and eigenvector estimates for nonnegative definite operators	2005	Luka Grubišić
+	Temple-Kato inequalities and applications in Mathematical Physics	2004	Luka Grubišić
+	On Ritz approximations for positive definite operators I (theory)	2003	Luka Grubišić Krešimir Veselić
+	Approximating Invariant Subspaces of Elliptic Operators	2002	Luka Grubišić Krešimir Veselić

Common Coauthors

Coauthor	Papers Together
Jeffrey S. Ovall	16
Krešimir Veselić	13
Stefano Giani	12
Jay Gopalakrishnan	7
Vadim Kostrykin	6
Harri Hakula	6
Konstantin A. Makarov	6
Ninoslav Truhar	5
Josip Tambača	5
Stephan Schmitz	4
Josip Iveković	3
Bojan Žugec	3
Christian Engström	3
Benjamin Quanah Parker	3
Mikael Laaksonen	2
Martin Tautenhahn	2
Agnieszka Miȩdlar	2
Suzana Miodragović	2
Ivica Nakić	2
Martin Lazar	2
Daniel Kreßner	2
Volker Mehrmann	1
Zvonimir Bujanović	1
Luca Heltai	1
Hei Yin Lam	1
Ralf Hiptmair	1
Ornela Mulita	1
Antonia Grbić	1
Matko Ljulj	1
Mikael Saarikangas	1
Diego Renner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	27
+	The Rotation of Eigenvectors by a Perturbation. III	1970	Chandler Davis W. Kahan	15
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	9
+ PDF Chat	Computed eigenmodes of planar regions	2006	Lloyd N. Trefethen Timo Betcke	8
+ PDF Chat	On estimators for eigenvalue/eigenvector approximations	2008	Luka Grubišić Jeffrey S. Ovall	8
+	A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory	2000	Ren‐Cang Li	7
+	An integral method for solving nonlinear eigenvalue problems	2011	Wolf‐Jürgen Beyn	7
+ PDF Chat	On Weakly Formulated Sylvester Equations and Applications	2007	Luka Grubišić Krešimir Veselić	6
+ PDF Chat	Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations	1998	Ren‐Cang Li	6
+	Self-Adjoint Operators	1975	William G. Faris	5
+	New Fast and Accurate Jacobi SVD Algorithm. I	2008	Zlatko Drmač Krešimir Veselić	5
+	Unbounded Self-adjoint Operators on Hilbert Space	2012	Konrad Schmüdgen	5
+ PDF Chat	REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED	2012	Luka Grubišić Vadim Kostrykin Konstantin A. Makarov Krešimir Veselić	5
+	A projection method for generalized eigenvalue problems using numerical integration	2003	Tetsuya Sakurai Hiroshi Sugiura	5
+ PDF Chat	Rayleigh–Ritz Majorization Error Bounds with Applications to FEM	2010	Andrew Knyazev Merico E. Argentati	5
+	TRACE IDEALS AND THEIR APPLICATIONS (London Mathematical Society Lecture Note Series, 35)	1980	J. A. Erdös	5
+ PDF Chat	Zolotarev Quadrature Rules and Load Balancing for the FEAST Eigensolver	2015	Stefan Güttel Eric Polizzi Ping Tang G Viaud	5
+	Perturbations and Approximations for Generalized Inverses and Linear Operator Equations	1976	M. Zuhair Nashed	5
+	Relative Residual Bounds For The Eigenvalues of a Hermitian Semidefinite Matrix	1997	Zlatko Drmač Vjeran Hari	5
+	Principal Angles between Subspaces in an <i>A</i>-Based Scalar Product: Algorithms and Perturbation Estimates	2002	Andrew Knyazev Merico E. Argentati	5
+	Sharp estimates for large coupling convergence with applications to Dirichlet operators	2007	Ali Ben Amor Johannes F. Brasche	4
+	Spectral asymptotic in the large coupling limit	2002	Vincent Bruneau Gilles Carbou	4
+ PDF Chat	On the Existence of Solutions to the Operator Riccati Equation and the tan ? Theorem	2005	Vadim Kostrykin Konstantin A. Makarov А. К. Мотовилов	4
+ PDF Chat	Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices	1990	Jesse L. Barlow James Demmel	4
+	Angles between infinite dimensional subspaces with applications to the Rayleigh–Ritz and alternating projectors methods	2010	Andrew Knyazev Abram Jujunashvili Merico E. Argentati	4
+	On the poisson equation with intersecting interfaces	1974	R. Bruce Kellogg	4
+	Dynkin's formula and large coupling convergence	2004	Johannes F. Brasche Michael Demuth	4
+	On relative residual bounds for the eigenvalues of a Hermitian matrix	1996	Zlatko Drmač	4
+ PDF Chat	Relative Convergence Estimates for the Spectral Asymptotic in the Large Coupling Limit	2009	Luka Grubišić	4
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	4
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg	3
+ PDF Chat	FEAST As A Subspace Iteration Eigensolver Accelerated By Approximate Spectral Projection	2014	Ping Tang Eric Polizzi	3
+	Trace Ideals and Their Applications	2010	Barry Simon	3
+ PDF Chat	Spectral analysis of collectively compact, strongly convergent operator sequences	1968	P. M. Anselone Theodore W. Palmer	3
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	3
+ PDF Chat	On Eigenvalue and Eigenvector Estimates for Nonnegative Definite Operators	2006	Luka Grubišić	3
+	Relationships among contour integral-based methods for solving generalized eigenvalue problems	2016	Akira Imakura Lei Du Tetsuya Sakurai	3
+ PDF Chat	An analysis of the practical DPG method	2013	Jay Gopalakrishnan Weifeng Qiu	3
+	Breaking spaces and forms for the DPG method and applications including Maxwell equations	2016	Carsten Carstensen Leszek Demkowicz Jay Gopalakrishnan	3
+	Decoupling by a projection	1979	Hellmut Baumgärtel Michael Demuth	3
+ PDF Chat	Recursive integral method for transmission eigenvalues	2016	Ruihao Huang Allan Struthers Jiguang Sun Ruming Zhang	3
+	Rate of convergence for large coupling limits by Brownian motion	1993	Michael Demuth Frank Jeske Werner Kirsch	3
+ PDF Chat	A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions	2010	L. Demkowicz Jay Gopalakrishnan	3
+	Perturbation theory for the eigenvalues of factorised symmetric matrices	2000	Krešimir Veselić	3
+ PDF Chat	Spectral perturbation bounds for selfadjoint operators I	2008	Krešimir Veselić	3
+	A note on the design of hp-adaptive finite element methods for elliptic partial differential equations	2004	Paul Houston Endre Süli	3
+	The Neumann problem on Lipschitz domains	1981	David Jerison Carlos E. Kenig	3
+	Spectral Approximation of Linear Operators	2011	Françoise Chatelin	3
+ PDF Chat	Stetige Abhängigkeit der Eigenwerte und Eigenfunktionen elliptischer Differentialoperatoren vom Gebiet.	1984	Joachim Weidmann	3
+	Spectral Theory of Block Operator Matrices and Applications	2008	Christiane Tretter	3