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ORCIDKarl Meerbergen
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- affiliation: Catholic University of Leuven, Belgium
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2020 – today
- 2024
[j49]Giovanni Conni
, Frank Naets, Karl Meerbergen:
AAA rational approximation for time domain model order reduction. Appl. Math. Lett. 157: 109188 (2024)- [j48]Arne Bouillon, Giovanni Samaey, Karl Meerbergen:
On Generalized Preconditioners for Time-Parallel Parabolic Optimal Control. SIAM J. Sci. Comput. 46(4): 2298- (2024) - [j47]Arne Bouillon, Giovanni Samaey, Karl Meerbergen:
Diagonalization-Based Preconditioners and Generalized Convergence Bounds for ParaOpt. SIAM J. Sci. Comput. 46(5): S317-S345 (2024) - [i15]Kobe Bruyninckx, Daan Huybrechs, Karl Meerbergen:
Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations. CoRR abs/2405.15573 (2024) - [i14]Karl Meerbergen, Zhijun Wang:
The shift-and-invert Arnoldi method for singular matrix pencils. CoRR abs/2411.02895 (2024) - [i13]Corentin Bonte, Arne Bouillon, Giovanni Samaey, Karl Meerbergen:
Efficient parallel inversion of ParaOpt preconditioners. CoRR abs/2412.02425 (2024) - 2023
- [j46]Rob Claes, Karl Meerbergen:
Interpolating self consistent field for eigenvector nonlinearities. Appl. Math. Lett. 135: 108412 (2023) - [j45]Rob Claes, Karl Meerbergen, Simon Telen:
Contour Integration for Eigenvector Nonlinearities. SIAM J. Matrix Anal. Appl. 44(4): 1619-1644 (2023) - [i12]Arne Bouillon, Giovanni Samaey, Karl Meerbergen:
On generalized preconditioners for time-parallel parabolic optimal control. CoRR abs/2302.06406 (2023) - [i11]Arne Bouillon, Giovanni Samaey, Karl Meerbergen:
Diagonalization-based preconditioners and generalized convergence bounds for ParaOpt. CoRR abs/2304.09235 (2023) - [i10]Simon Dirckx, Karl Meerbergen, Daan Huybrechs:
QR-based Parallel Set-Valued Approximation with Rational Functions. CoRR abs/2312.10260 (2023) - 2022
- [j44]Koen Ruymbeek, Karl Meerbergen, Wim Michiels:
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. J. Comput. Appl. Math. 408: 113869 (2022) - [j43]Koen Ruymbeek, Karl Meerbergen, Wim Michiels:
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. Numer. Linear Algebra Appl. 29(5) (2022) - [j42]Rob Claes, Elias Jarlebring, Karl Meerbergen, Parikshit Upadhyaya:
Linearizable Eigenvector Nonlinearities. SIAM J. Matrix Anal. Appl. 43(2): 764-786 (2022) - [j41]Simon Dirckx, Daan Huybrechs, Karl Meerbergen:
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation. SIAM J. Sci. Comput. 44(5): 1282- (2022) - [i9]Rob Claes, Karl Meerbergen, Simon Telen:
Contour Integration for Eigenvector Nonlinearities. CoRR abs/2205.12367 (2022) - [i8]Elke Deckers, Stijn Jonckheere, Karl Meerbergen:
Time integration of finite element models with nonlinear frequency dependencies. CoRR abs/2206.09617 (2022) - 2021
- [j40]Joris Tavernier, Jaak Simm, Karl Meerbergen, Yves Moreau:
Two-level preconditioning for Ridge Regression. Numer. Linear Algebra Appl. 28(4) (2021) - [j39]Thijs Steel, Daan Camps, Karl Meerbergen, Raf Vandebril:
A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation. SIAM J. Matrix Anal. Appl. 42(2): 753-774 (2021) - [i7]Rob Claes, Elias Jarlebring, Karl Meerbergen, Parikshit Upadhyaya:
Linearizability of eigenvector nonlinearities. CoRR abs/2105.10361 (2021) - 2020
- [i6]Koen Ruymbeek, Karl Meerbergen, Wim Michiels:
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. CoRR abs/2006.07473 (2020) - [i5]Joris Tavernier, Jaak Simm, Adam Arany, Karl Meerbergen, Yves Moreau:
Multilevel Gibbs Sampling for Bayesian Regression. CoRR abs/2009.12132 (2020) - [i4]Koen Ruymbeek, Karl Meerbergen, Wim Michiels:
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. CoRR abs/2012.00815 (2020) - [i3]Simon Dirckx, Daan Huybrechs, Karl Meerbergen:
Frequency extraction for BEM-matrices arising from the 3D scalar Helmholtz equation. CoRR abs/2012.14287 (2020)
2010 – 2019
- 2019
- [j38]Michiel E. Hochstenbach, Karl Meerbergen, Emre Mengi, Bor Plestenjak:
Subspace methods for three-parameter eigenvalue problems. Numer. Linear Algebra Appl. 26(4) (2019) - [j37]Koen Ruymbeek, Karl Meerbergen, Wim Michiels:
Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection. Numer. Linear Algebra Appl. 26(5) (2019) - [j36]Joris Tavernier, Jaak Simm, Karl Meerbergen, Jörg Kurt Wegner, Hugo Ceulemans, Yves Moreau:
Fast semi-supervised discriminant analysis for binary classification of large data sets. Pattern Recognit. 91: 86-99 (2019) - [j35]Daan Camps, Karl Meerbergen, Raf Vandebril:
A Rational QZ Method. SIAM J. Matrix Anal. Appl. 40(3): 943-972 (2019) - 2018
- [j34]Fatih Kangal, Karl Meerbergen, Emre Mengi, Wim Michiels:
A Subspace Method for Large-Scale Eigenvalue Optimization. SIAM J. Matrix Anal. Appl. 39(1): 48-82 (2018) - [j33]Pieter Lietaert, Karl Meerbergen, Françoise Tisseur:
Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 40(5): A2801-A2829 (2018) - [c6]Pieter Lietaert, Karl Meerbergen:
Comparing Loewner and Krylov based model order reduction for time delay systems. ECC 2018: 545-550 - [i2]Joris Tavernier, Jaak Simm, Karl Meerbergen, Yves Moreau:
Multilevel preconditioning for Ridge Regression. CoRR abs/1806.05826 (2018) - 2017
- [i1]Joris Tavernier, Jaak Simm, Karl Meerbergen, Jörg K. Wegner, Hugo Ceulemans, Yves Moreau:
Fast semi-supervised discriminant analysis for binary classification of large data-sets. CoRR abs/1709.04794 (2017) - 2015
- [j32]Karl Meerbergen, Bor Plestenjak:
A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Numer. Linear Algebra Appl. 22(6): 1131-1146 (2015) - [j31]Roel Van Beeumen, Karl Meerbergen, Wim Michiels:
Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 36(2): 820-838 (2015) - [j30]Nick Vannieuwenhoven, Karl Meerbergen, Raf Vandebril:
Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking. SIAM J. Sci. Comput. 37(3) (2015) - [c5]Karl Meerbergen, Pieter Lietaert:
Tensor Krylov methods for model reduction of the stochastic mean of a parametric dynamical system. ECC 2015: 350-355 - 2014
- [j29]A. N. Yzelman, Rob H. Bisseling, Dirk Roose, Karl Meerbergen:
MulticoreBSP for C: A High-Performance Library for Shared-Memory Parallel Programming. Int. J. Parallel Program. 42(4): 619-642 (2014) - [j28]Maryam Saadvandi, Karl Meerbergen, Wim Desmet:
Parametric dominant pole algorithm for parametric model order reduction. J. Comput. Appl. Math. 259: 259-280 (2014) - [j27]Elias Jarlebring, Karl Meerbergen, Wim Michiels:
Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method. SIAM J. Matrix Anal. Appl. 35(2): 411-436 (2014) - [j26]Nick Vannieuwenhoven, Johannes Nicaise, Raf Vandebril, Karl Meerbergen:
On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors. SIAM J. Matrix Anal. Appl. 35(3): 886-903 (2014) - [j25]Stefan Güttel, Roel Van Beeumen, Karl Meerbergen, Wim Michiels:
NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j24]Yao Yue, Karl Meerbergen:
Parametric model order reduction of damped mechanical systems via the block Arnoldi process. Appl. Math. Lett. 26(6): 643-648 (2013) - [j23]Karl Meerbergen, Christian Schröder, Heinrich Voss:
A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations. Numer. Linear Algebra Appl. 20(5): 852-868 (2013) - [j22]Yao Yue, Karl Meerbergen:
Accelerating Optimization of Parametric Linear Systems by Model Order Reduction. SIAM J. Optim. 23(2): 1344-1370 (2013) - [j21]Roel Van Beeumen, Karl Meerbergen, Wim Michiels:
A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 35(1) (2013) - [j20]Pieter Ghysels, Thomas J. Ashby, Karl Meerbergen, Wim Vanroose:
Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines. SIAM J. Sci. Comput. 35(1) (2013) - [j19]Nick Vannieuwenhoven, Karl Meerbergen:
IMF: An Incomplete Multifrontal LU-Factorization for Element-Structured Sparse Linear Systems. SIAM J. Sci. Comput. 35(1) (2013) - [c4]Pawan Kumar, Stefano Markidis, Giovanni Lapenta, Karl Meerbergen, Dirk Roose:
High Performance Solvers for Implicit Particle in Cell Simulation. ICCS 2013: 2251-2258 - 2012
- [j18]Elias Jarlebring, Wim Michiels, Karl Meerbergen:
A linear eigenvalue algorithm for the nonlinear eigenvalue problem. Numerische Mathematik 122(1): 169-195 (2012) - [j17]Nick Vannieuwenhoven, Raf Vandebril, Karl Meerbergen:
A New Truncation Strategy for the Higher-Order Singular Value Decomposition. SIAM J. Sci. Comput. 34(2) (2012) - [j16]Howard C. Elman, Karl Meerbergen, Alastair Spence, Minghao Wu:
Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow. SIAM J. Sci. Comput. 34(3) (2012) - [c3]Pawan Kumar, Karl Meerbergen, Dirk Roose:
Multi-threaded Nested Filtering Factorization Preconditioner. PARA 2012: 220-234 - 2011
- [j15]Wim Michiels, Elias Jarlebring, Karl Meerbergen:
Krylov-Based Model Order Reduction of Time-delay Systems. SIAM J. Matrix Anal. Appl. 32(4): 1399-1421 (2011) - [c2]Wim Michiels, Elias Jarlebring, Karl Meerbergen:
A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE. CDC/ECC 2011: 3482-3489 - [c1]Roel Wuyts, Karl Meerbergen, Pascal Costanza:
Reactive Rebalancing for Scientific Simulations running on ExaScale High Performance Computers. PARCO 2011: 317-324 - 2010
- [j14]Karl Meerbergen, Zhaojun Bai:
The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. SIAM J. Matrix Anal. Appl. 31(4): 1642-1662 (2010) - [j13]Karl Meerbergen, Alastair Spence:
Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems. SIAM J. Matrix Anal. Appl. 31(4): 1982-1999 (2010) - [j12]Elias Jarlebring, Karl Meerbergen, Wim Michiels:
A Krylov Method for the Delay Eigenvalue Problem. SIAM J. Sci. Comput. 32(6): 3278-3300 (2010)
2000 – 2009
- 2009
- [j11]Karl Meerbergen, Jean-Pierre Coyette:
Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. Numer. Linear Algebra Appl. 16(1): 1-17 (2009) - [j10]Karl Meerbergen, Kresimir Fresl, Toon Knapen:
C++ Bindings to External Software Libraries with Examples from BLAS, LAPACK, UMFPACK, and MUMPS. ACM Trans. Math. Softw. 36(4): 22:1-22:23 (2009) - 2008
- [j9]Karl Meerbergen:
The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 30(4): 1463-1482 (2008) - 2005
- [j8]Karl Meerbergen:
The Lanczos method: evolution and application. Math. Comput. 74(250) (2005) - 2003
- [j7]Karl Meerbergen:
The Solution of Parametrized Symmetric Linear Systems. SIAM J. Matrix Anal. Appl. 24(4): 1038-1059 (2003) - 2001
- [j6]Karl Meerbergen:
Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem. Numer. Linear Algebra Appl. 8(1): 33-52 (2001) - [j5]Françoise Tisseur, Karl Meerbergen:
The Quadratic Eigenvalue Problem. SIAM Rev. 43(2): 235-286 (2001) - [j4]Karl Meerbergen:
Locking and Restarting Quadratic Eigenvalue Solvers. SIAM J. Sci. Comput. 22(5): 1814-1839 (2001) - 2000
- [p1]Karl Meerbergen, R. Morgan, Andrew Knyazev:
Preconditioning Techniques. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 337-368
1990 – 1999
- 1998
- [j3]Richard B. Lehoucq, Karl Meerbergen:
Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method. SIAM J. Matrix Anal. Appl. 20(1): 131-148 (1998) - 1997
- [j2]Karl Meerbergen, Alastair Spence:
Implicitly restarted Arnoldi with purification for the shift-invert transformation. Math. Comput. 66(218): 667-689 (1997) - [j1]Karl Meerbergen, Dirk Roose:
The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues. SIAM J. Matrix Anal. Appl. 18(1): 1-20 (1997)
Coauthor Index
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