Implicitly restarted Arnoldi with purification for the shift-invert transformation. - Karl Meerbergen; Alastair Spence (Math. Comput., 1997)

The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues. - Karl Meerbergen; Dirk Roose (SIAM J. Matrix Anal. Appl., 1997)

Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method. - Richard B. Lehoucq; Karl Meerbergen (SIAM J. Matrix Anal. Appl., 1998)

Preconditioning Techniques. - Karl Meerbergen; R. Morgan; Andrew Knyazev (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem. - Karl Meerbergen (Numer. Linear Algebra Appl., 2001)

The Quadratic Eigenvalue Problem. - Françoise Tisseur; Karl Meerbergen (SIAM Rev., 2001)

Locking and Restarting Quadratic Eigenvalue Solvers. - Karl Meerbergen (SIAM J. Sci. Comput., 2001)

The Solution of Parametrized Symmetric Linear Systems. - Karl Meerbergen (SIAM J. Matrix Anal. Appl., 2003)

The Lanczos method: evolution and application. - Karl Meerbergen (Math. Comput., 2005)

The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem. - Karl Meerbergen (SIAM J. Matrix Anal. Appl., 2008)

Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. - Karl Meerbergen; Jean-Pierre Coyette (Numer. Linear Algebra Appl., 2009)

C++ Bindings to External Software Libraries with Examples from BLAS, LAPACK, UMFPACK, and MUMPS. - Karl Meerbergen; Kresimir Fresl; Toon Knapen (ACM Trans. Math. Softw., 2009)

The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. - Karl Meerbergen; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2010)

Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems. - Karl Meerbergen; Alastair Spence (SIAM J. Matrix Anal. Appl., 2010)

A Krylov Method for the Delay Eigenvalue Problem. - Elias Jarlebring; Karl Meerbergen; Wim Michiels (SIAM J. Sci. Comput., 2010)

A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE. - Wim Michiels; Elias Jarlebring; Karl Meerbergen (CDC/ECC, 2011)

Reactive Rebalancing for Scientific Simulations running on ExaScale High Performance Computers. - Roel Wuyts; Karl Meerbergen; Pascal Costanza (PARCO, 2011)

Krylov-Based Model Order Reduction of Time-delay Systems. - Wim Michiels; Elias Jarlebring; Karl Meerbergen (SIAM J. Matrix Anal. Appl., 2011)

Multi-threaded Nested Filtering Factorization Preconditioner. - Pawan Kumar; Karl Meerbergen; Dirk Roose (PARA, 2012)

A linear eigenvalue algorithm for the nonlinear eigenvalue problem. - Elias Jarlebring; Wim Michiels; Karl Meerbergen (Numerische Mathematik, 2012)

Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow. - Howard C. Elman; Karl Meerbergen; Alastair Spence; Minghao Wu (SIAM J. Sci. Comput., 2012)

A New Truncation Strategy for the Higher-Order Singular Value Decomposition. - Nick Vannieuwenhoven; Raf Vandebril; Karl Meerbergen (SIAM J. Sci. Comput., 2012)

High Performance Solvers for Implicit Particle in Cell Simulation. - Pawan Kumar; Stefano Markidis; Giovanni Lapenta; Karl Meerbergen; Dirk Roose (ICCS, 2013)

Parametric model order reduction of damped mechanical systems via the block Arnoldi process. - Yao Yue; Karl Meerbergen (Appl. Math. Lett., 2013)

A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations. - Karl Meerbergen; Christian Schröder; Heinrich Voss (Numer. Linear Algebra Appl., 2013)

Accelerating Optimization of Parametric Linear Systems by Model Order Reduction. - Yao Yue; Karl Meerbergen (SIAM J. Optim., 2013)

A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems. - Roel Van Beeumen; Karl Meerbergen; Wim Michiels (SIAM J. Sci. Comput., 2013)

Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines. - Pieter Ghysels; Thomas J. Ashby; Karl Meerbergen; Wim Vanroose (SIAM J. Sci. Comput., 2013)

IMF: An Incomplete Multifrontal LU-Factorization for Element-Structured Sparse Linear Systems. - Nick Vannieuwenhoven; Karl Meerbergen (SIAM J. Sci. Comput., 2013)

MulticoreBSP for C: A High-Performance Library for Shared-Memory Parallel Programming. - A. N. Yzelman; Rob H. Bisseling; Dirk Roose; Karl Meerbergen (Int. J. Parallel Program., 2014)

Parametric dominant pole algorithm for parametric model order reduction. - Maryam Saadvandi; Karl Meerbergen; Wim Desmet (J. Comput. Appl. Math., 2014)

Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method. - Elias Jarlebring; Karl Meerbergen; Wim Michiels (SIAM J. Matrix Anal. Appl., 2014)

On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors. - Nick Vannieuwenhoven; Johannes Nicaise; Raf Vandebril; Karl Meerbergen (SIAM J. Matrix Anal. Appl., 2014)

NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems. - Stefan Güttel; Roel Van Beeumen; Karl Meerbergen; Wim Michiels (SIAM J. Sci. Comput., 2014)

Tensor Krylov methods for model reduction of the stochastic mean of a parametric dynamical system. - Karl Meerbergen; Pieter Lietaert (ECC, 2015)

A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. - Karl Meerbergen; Bor Plestenjak (Numer. Linear Algebra Appl., 2015)

Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems. - Roel Van Beeumen; Karl Meerbergen; Wim Michiels (SIAM J. Matrix Anal. Appl., 2015)

Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking. - Nick Vannieuwenhoven; Karl Meerbergen; Raf Vandebril (SIAM J. Sci. Comput., 2015)

Comparing Loewner and Krylov based model order reduction for time delay systems. - Pieter Lietaert; Karl Meerbergen (ECC, 2018)

Multilevel preconditioning for Ridge Regression. - Joris Tavernier; Jaak Simm; Karl Meerbergen; Yves Moreau (CoRR, 2018)

A Subspace Method for Large-Scale Eigenvalue Optimization. - Fatih Kangal; Karl Meerbergen; Emre Mengi; Wim Michiels (SIAM J. Matrix Anal. Appl., 2018)

Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems. - Pieter Lietaert; Karl Meerbergen; Françoise Tisseur (SIAM J. Sci. Comput., 2018)

Subspace methods for three-parameter eigenvalue problems. - Michiel E. Hochstenbach; Karl Meerbergen; Emre Mengi; Bor Plestenjak (Numer. Linear Algebra Appl., 2019)

Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection. - Koen Ruymbeek; Karl Meerbergen; Wim Michiels (Numer. Linear Algebra Appl., 2019)

Fast semi-supervised discriminant analysis for binary classification of large data sets. - Joris Tavernier; Jaak Simm; Karl Meerbergen; Jörg Kurt Wegner; Hugo Ceulemans; Yves Moreau (Pattern Recognit., 2019)

A Rational QZ Method. - Daan Camps; Karl Meerbergen; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2019)

Multilevel Gibbs Sampling for Bayesian Regression. - Joris Tavernier; Jaak Simm; Adam Arany; Karl Meerbergen; Yves Moreau (CoRR, 2020)

Linearizability of eigenvector nonlinearities. - Rob Claes; Elias Jarlebring; Karl Meerbergen; Parikshit Upadhyaya (CoRR, 2021)

Two-level preconditioning for Ridge Regression. - Joris Tavernier; Jaak Simm; Karl Meerbergen; Yves Moreau (Numer. Linear Algebra Appl., 2021)

A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation. - Thijs Steel; Daan Camps; Karl Meerbergen; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2021)

Time integration of finite element models with nonlinear frequency dependencies. - Elke Deckers; Stijn Jonckheere; Karl Meerbergen (CoRR, 2022)

Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. - Koen Ruymbeek; Karl Meerbergen; Wim Michiels (J. Comput. Appl. Math., 2022)

Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. - Koen Ruymbeek; Karl Meerbergen; Wim Michiels (Numer. Linear Algebra Appl., 2022)

Linearizable Eigenvector Nonlinearities. - Rob Claes; Elias Jarlebring; Karl Meerbergen; Parikshit Upadhyaya (SIAM J. Matrix Anal. Appl., 2022)

Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation. - Simon Dirckx; Daan Huybrechs; Karl Meerbergen (SIAM J. Sci. Comput., 2022)

Interpolating self consistent field for eigenvector nonlinearities. - Rob Claes; Karl Meerbergen (Appl. Math. Lett., 2023)

QR-based Parallel Set-Valued Approximation with Rational Functions. - Simon Dirckx; Karl Meerbergen; Daan Huybrechs (CoRR, 2023)

Contour Integration for Eigenvector Nonlinearities. - Rob Claes; Karl Meerbergen; Simon Telen (SIAM J. Matrix Anal. Appl., 2023)

AAA rational approximation for time domain model order reduction. - Giovanni Conni; Frank Naets; Karl Meerbergen (Appl. Math. Lett., 2024)

Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations. - Kobe Bruyninckx; Daan Huybrechs; Karl Meerbergen (CoRR, 2024)

The shift-and-invert Arnoldi method for singular matrix pencils. - Karl Meerbergen; Zhijun Wang (CoRR, 2024)

Efficient parallel inversion of ParaOpt preconditioners. - Corentin Bonte; Arne Bouillon; Giovanni Samaey; Karl Meerbergen (CoRR, 2024)

On Generalized Preconditioners for Time-Parallel Parabolic Optimal Control. - Arne Bouillon; Giovanni Samaey; Karl Meerbergen (SIAM J. Sci. Comput., 2024)

Diagonalization-Based Preconditioners and Generalized Convergence Bounds for ParaOpt. - Arne Bouillon; Giovanni Samaey; Karl Meerbergen (SIAM J. Sci. Comput., 2024)

Uniform ( mathcal {H} )-Matrix Compression with Applications to Boundary Integral Equations. - Kobe Bruyninckx; Daan Huybrechs; Karl Meerbergen (SIAM J. Sci. Comput., 2025)

Algorithms for Parallel Shared-Memory Sparse Matrix-Vector Multiplication on Unstructured Matrices. - Kobe Bergmans; Karl Meerbergen; Raf Vandebril (CoRR, 2025)

A shifted Laplace rational filter for large-scale eigenvalue problems. - Biyi Wang; Karl Meerbergen; Raf Vandebril; Hengbin An; Zeyao Mo (CoRR, 2025)