Karl Meerbergen

Orcid: 0000-0002-1508-0248

Affiliations:
  • Catholic University of Leuven, Belgium


According to our database1, Karl Meerbergen authored at least 62 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Diagonalization-Based Preconditioners and Generalized Convergence Bounds for ParaOpt.
SIAM J. Sci. Comput., 2024

On Generalized Preconditioners for Time-Parallel Parabolic Optimal Control.
SIAM J. Sci. Comput., 2024

Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations.
CoRR, 2024

AAA rational approximation for time domain model order reduction.
Appl. Math. Lett., 2024

2023
Contour Integration for Eigenvector Nonlinearities.
SIAM J. Matrix Anal. Appl., December, 2023

QR-based Parallel Set-Valued Approximation with Rational Functions.
CoRR, 2023

Interpolating self consistent field for eigenvector nonlinearities.
Appl. Math. Lett., 2023

2022
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation.
SIAM J. Sci. Comput., October, 2022

Linearizable Eigenvector Nonlinearities.
SIAM J. Matrix Anal. Appl., 2022

Subspace method for multiparameter-eigenvalue problems based on tensor-train representations.
Numer. Linear Algebra Appl., 2022

Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices.
J. Comput. Appl. Math., 2022

Time integration of finite element models with nonlinear frequency dependencies.
CoRR, 2022

2021
A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation.
SIAM J. Matrix Anal. Appl., 2021

Two-level preconditioning for Ridge Regression.
Numer. Linear Algebra Appl., 2021

Linearizability of eigenvector nonlinearities.
CoRR, 2021

2020
Multilevel Gibbs Sampling for Bayesian Regression.
CoRR, 2020

2019
A Rational QZ Method.
SIAM J. Matrix Anal. Appl., 2019

Fast semi-supervised discriminant analysis for binary classification of large data sets.
Pattern Recognit., 2019

Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection.
Numer. Linear Algebra Appl., 2019

Subspace methods for three-parameter eigenvalue problems.
Numer. Linear Algebra Appl., 2019

2018
Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems.
SIAM J. Sci. Comput., 2018

A Subspace Method for Large-Scale Eigenvalue Optimization.
SIAM J. Matrix Anal. Appl., 2018

Multilevel preconditioning for Ridge Regression.
CoRR, 2018

Comparing Loewner and Krylov based model order reduction for time delay systems.
Proceedings of the 16th European Control Conference, 2018

2015
Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking.
SIAM J. Sci. Comput., 2015

Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 2015

A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants.
Numer. Linear Algebra Appl., 2015

Tensor Krylov methods for model reduction of the stochastic mean of a parametric dynamical system.
Proceedings of the 14th European Control Conference, 2015

2014
NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems.
SIAM J. Sci. Comput., 2014

On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors.
SIAM J. Matrix Anal. Appl., 2014

Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method.
SIAM J. Matrix Anal. Appl., 2014

Parametric dominant pole algorithm for parametric model order reduction.
J. Comput. Appl. Math., 2014

MulticoreBSP for C: A High-Performance Library for Shared-Memory Parallel Programming.
Int. J. Parallel Program., 2014

2013
IMF: An Incomplete Multifrontal LU-Factorization for Element-Structured Sparse Linear Systems.
SIAM J. Sci. Comput., 2013

Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines.
SIAM J. Sci. Comput., 2013

A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems.
SIAM J. Sci. Comput., 2013

Accelerating Optimization of Parametric Linear Systems by Model Order Reduction.
SIAM J. Optim., 2013

A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations.
Numer. Linear Algebra Appl., 2013

Parametric model order reduction of damped mechanical systems via the block Arnoldi process.
Appl. Math. Lett., 2013

High Performance Solvers for Implicit Particle in Cell Simulation.
Proceedings of the International Conference on Computational Science, 2013

2012
A New Truncation Strategy for the Higher-Order Singular Value Decomposition.
SIAM J. Sci. Comput., 2012

Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow.
SIAM J. Sci. Comput., 2012

A linear eigenvalue algorithm for the nonlinear eigenvalue problem.
Numerische Mathematik, 2012

Multi-threaded Nested Filtering Factorization Preconditioner.
Proceedings of the Applied Parallel and Scientific Computing, 2012

2011
Krylov-Based Model Order Reduction of Time-delay Systems.
SIAM J. Matrix Anal. Appl., 2011

Reactive Rebalancing for Scientific Simulations running on ExaScale High Performance Computers.
Proceedings of the Applications, Tools and Techniques on the Road to Exascale Computing, Proceedings of the conference ParCo 2011, 31 August, 2011

A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010
A Krylov Method for the Delay Eigenvalue Problem.
SIAM J. Sci. Comput., 2010

Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems.
SIAM J. Matrix Anal. Appl., 2010

The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides.
SIAM J. Matrix Anal. Appl., 2010

2009
C++ Bindings to External Software Libraries with Examples from BLAS, LAPACK, UMFPACK, and MUMPS.
ACM Trans. Math. Softw., 2009

Connection and comparison between frequency shift time integration and a spectral transformation preconditioner.
Numer. Linear Algebra Appl., 2009

2008
The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem.
SIAM J. Matrix Anal. Appl., 2008

2005
The Lanczos method: evolution and application.
Math. Comput., 2005

2003
The Solution of Parametrized Symmetric Linear Systems.
SIAM J. Matrix Anal. Appl., 2003

2001
Locking and Restarting Quadratic Eigenvalue Solvers.
SIAM J. Sci. Comput., 2001

The Quadratic Eigenvalue Problem.
SIAM Rev., 2001

Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem.
Numer. Linear Algebra Appl., 2001

2000
Preconditioning Techniques.
Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

1998
Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method.
SIAM J. Matrix Anal. Appl., 1998

1997
The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues.
SIAM J. Matrix Anal. Appl., January, 1997

Implicitly restarted Arnoldi with purification for the shift-invert transformation.
Math. Comput., 1997


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