Karl Meerbergen

发表

Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines

Wim Vanroose, Pieter Ghysels, Thomas J. Ashby, 2013, SIAM J. Sci. Comput..

A Subspace Method for Large-Scale Eigenvalue Optimization

Wim Michiels, Karl Meerbergen, Fatih Kangal, 2015, SIAM J. Matrix Anal. Appl..

Accelerating Optimization of Parametric Linear Systems by Model Order Reduction

Karl Meerbergen, Yao Yue, K. Meerbergen, 2013, SIAM J. Optim..

Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems

Wim Michiels, Karl Meerbergen, Roel Van Beeumen, 2015, SIAM J. Matrix Anal. Appl..

The Lanczos method: evolution and application

Karl Meerbergen, K. Meerbergen, 2005, Math. Comput..

Parallel aspects of Krylov subspace methods on a Meiko transputer system using CSTools

Karl Meerbergen, Dirk Roose, K. Meerbergen, 1992 .

Locking and Restarting Quadratic Eigenvalue Solvers

Karl Meerbergen, K. Meerbergen, 2000, SIAM J. Sci. Comput..

Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems

Karl Meerbergen, Alastair Spence, A. Spence, 2010, SIAM J. Matrix Anal. Appl..

Theory and software for Krylov methods for the computation of the frequency response of large acoustic finite element models

Karl Meerbergen, Mickaël Robbé, 2002 .

A New Truncation Strategy for the Higher-Order Singular Value Decomposition

Raf Vandebril, Karl Meerbergen, Nick Vannieuwenhoven, 2012, SIAM J. Sci. Comput..

Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices pdf

Wim Michiels, Karl Meerbergen, Koen Ruymbeek, 2020, ArXiv.

MulticoreBSP for C: A High-Performance Library for Shared-Memory Parallel Programming

Rob H. Bisseling, Karl Meerbergen, Dirk Roose, 2013, International Journal of Parallel Programming.

Multi-threaded Nested Filtering Factorization Preconditioner

Pawan Kumar, Karl Meerbergen, Dirk Roose, 2012, PARA.

IMF: An Incomplete Multifrontal LU-Factorization for Element-Structured Sparse Linear Systems

Karl Meerbergen, Nick Vannieuwenhoven, K. Meerbergen, 2013, SIAM J. Sci. Comput..

Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations pdf

Karl Meerbergen, Wim Michiels, Koen Ruymbeek, 2020, Numer. Linear Algebra Appl..

Using model order reduction for design optimization of structures and vibrations

Karl Meerbergen, Yao Yue, K. Meerbergen, 2010 .

The dense multiple-vector tensor-vector product: An initial study

Raf Vandebril, Karl Meerbergen, Nick Vannieuwenhoven, 2013 .

Tensor Krylov methods for model reduction of the stochastic mean of a parametric dynamical system

Karl Meerbergen, Pieter Lietaert, 2015, 2015 European Control Conference (ECC).

Large Sparse Eigenvalue Solvers for the Determination of Hopf Bifurcations of Nonlinear Dynamical Systems

Karl Meerbergen, 2010 .

Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking

Raf Vandebril, Karl Meerbergen, Nick Vannieuwenhoven, 2015, SIAM J. Sci. Comput..

A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems

Wim Michiels, Karl Meerbergen, Roel Van Beeumen, 2012, SIAM J. Sci. Comput..

Simulation of randomly excited acoustic insulation systems using finite element approaches

Karl Meerbergen, Jean-Pierre Coyette, T. Knapen, 2004 .

Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow

Karl Meerbergen, Howard C. Elman, Alastair Spence, 2012, SIAM J. Sci. Comput..

A linear eigenvalue algorithm for the nonlinear eigenvalue problem

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2012, Numerische Mathematik.

Comparing Loewner and Krylov based model order reduction for time delay systems

Karl Meerbergen, Pieter Lietaert, K. Meerbergen, 2018, 2018 European Control Conference (ECC).

Parametric model order reduction of damped mechanical systems via the block Arnoldi process

Karl Meerbergen, Yao Yue, K. Meerbergen, 2013, Appl. Math. Lett..

On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors

Raf Vandebril, Karl Meerbergen, Nick Vannieuwenhoven, 2014, SIAM J. Matrix Anal. Appl..

A Jacobi–Davidson method for two‐real‐parameter nonlinear eigenvalue problems arising from delay‐differential equations

Karl Meerbergen, Heinrich Voss, Christian Schröder, 2013, Numer. Linear Algebra Appl..

Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method

Karl Meerbergen, Richard B. Lehoucq, R. Lehoucq, 1998, SIAM J. Matrix Anal. Appl..

A parallelizable element-by-element multilevel block-ILU preconditioner

Karl Meerbergen, Nick Vannieuwenhoven, 2010 .

Communication Avoiding and Hiding in preconditioned Krylov solvers

Emmanuel Agullo, Wim Vanroose, Luc Giraud, 2015, HiPC 2015.

Inexact Methods and Preconditioning

Karl Meerbergen, R B Morgan, 2000 .

Optimization of large-scale systems with model reduction

Karl Meerbergen, Yao Yue, 2009 .

C++ Bindings to External Software Libraries with Examples from BLAS, LAPACK, UMFPACK, and MUMPS

Karl Meerbergen, Kresimir Fresl, Toon Knapen, 2009, TOMS.

A Krylov Method for the Delay Eigenvalue Problem

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2010, SIAM J. Sci. Comput..

Fast semi-supervised discriminant analysis for binary classification of large data-sets

Yves Moreau, Jörg K. Wegner, Karl Meerbergen, 2017, Pattern Recognit..

Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem

Karl Meerbergen, K. Meerbergen, 2001, Numer. Linear Algebra Appl..

Two-level preconditioning for Ridge Regression.

Yves Moreau, Karl Meerbergen, Jaak Simm, 2018 .

Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2014, SIAM J. Matrix Anal. Appl..

The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem

Karl Meerbergen, K. Meerbergen, 2008, SIAM J. Matrix Anal. Appl..

Reactive Rebalancing for Scientific Simulations running on ExaScale High Performance Computers

Karl Meerbergen, Roel Wuyts, Pascal Costanza, 2011, PARCO.

High Performance Solvers for Implicit Particle in Cell Simulation

Pawan Kumar, Karl Meerbergen, Dirk Roose, 2013, ICCS.

Krylov-Based Model Order Reduction of Time-delay Systems

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2011, SIAM J. Matrix Anal. Appl..

Krylov methods for the solution of parameterized linear systems in the simulation of structures and vibrations: theory, applications and challenges

Karl Meerbergen, 2009 .

Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems

Zhaojun Bai, Yangfeng Su, Karl Meerbergen, 2005 .

An Arnoldi like method for the delay eigenvalue problem

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2010 .

NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems

Wim Michiels, Karl Meerbergen, Stefan Güttel, 2014, SIAM J. Sci. Comput..

Towards a computational efficient, implicitly restarted rational Krylov method

Raf Vandebril, Karl Meerbergen, Daan Camps, 2016 .

Leren werken met MATLAB

Nico Scheerlinck, Karl Meerbergen, Yvette Vanberghen, 2010 .

Accelerating PDE-Constrained Optimization by Model Order Reduction with Error Control

Karl Meerbergen, Yue Yao, K. Meerbergen, 2012 .

Application of a domain decomposition method with Lagrange multipliers to acoustic problems arising

Karl Meerbergen, Frederic Magoules, Jean-Pierre Coyette, 2000 .

Contour integration via rational Krylov for solving nonlinear eigenvalue problems

Wim Michiels, Karl Meerbergen, Roel Van Beeumen, 2015 .

A Rational QZ Method

Raf Vandebril, Karl Meerbergen, Daan Camps, 2018, SIAM J. Matrix Anal. Appl..

On the implicit restart of the rational Krylov method: chasing algorithms for polynomial, extended and rational Krylov

Raf Vandebril, Karl Meerbergen, Daan Camps, 2017 .

Recycling Ritz vectors in the parameterized Lanczos method

Karl Meerbergen, 2008 .

Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems

Karl Meerbergen, Françoise Tisseur, Pieter Lietaert, 2018, SIAM J. Sci. Comput..

A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2011, IEEE Conference on Decision and Control and European Control Conference.

Subspace methods for three‐parameter eigenvalue problems

Michiel E. Hochstenbach, Karl Meerbergen, Emre Mengi, 2019, Numer. Linear Algebra Appl..

Implicitly restarted Arnoldi with purification for the shift-invert transformation

Karl Meerbergen, Alastair Spence, A. Spence, 1997, Math. Comput..

Connection and comparison between frequency shift time integration and a spectral transformation preconditioner

Karl Meerbergen, Jean-Pierre Coyette, K. Meerbergen, 2009, Numer. Linear Algebra Appl..

Implementation of a 2D electrostatic particle in cell algorithm in Unified Parallel C with dynamic load-balancing

Karl Meerbergen, Roel Wuyts, Bart Verleye, 2011 .

A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation

Raf Vandebril, Karl Meerbergen, Daan Camps, 2019, SIAM J. Matrix Anal. Appl..

A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants

Karl Meerbergen, Bor Plestenjak, K. Meerbergen, 2014, Numer. Linear Algebra Appl..

Frequency extraction for BEM-matrices arising from the 3D scalar Helmholtz equation pdf

Daan Huybrechs, Karl Meerbergen, Simon Dirckx, 2020, ArXiv.

Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection

Wim Michiels, Karl Meerbergen, Koen Ruymbeek, 2019, Numer. Linear Algebra Appl..

H03G1A: Numerical Linear Algebra

Karl Meerbergen, Marc Van Barel, 2008 .

Parametric dominant pole algorithm for parametric model order reduction

Wim Desmet, Karl Meerbergen, Maryam Saadvandi, 2014, J. Comput. Appl. Math..

Sparse Matrix-Vector Multiplication: Parallelization and Vectorization

Karl Meerbergen, Dirk Roose, A. N. Yzelman, 2015 .

The Solution of Parametrized Symmetric Linear Systems

Karl Meerbergen, K. Meerbergen, 2002, SIAM J. Matrix Anal. Appl..

Fast frequency response function computation by model reduction methods

Karl Meerbergen, 2008 .

Multilevel preconditioning for Ridge Regression pdf

Yves Moreau, Karl Meerbergen, Jaak Simm, 2018, ArXiv.

The Quadratic Eigenvalue Problem

Karl Meerbergen, Françoise Tisseur, K. Meerbergen, 2001, SIAM Rev..

Multilevel Gibbs Sampling for Bayesian Regression pdf

Yves Moreau, Karl Meerbergen, Jaak Simm, 2020, ArXiv.

The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides

Zhaojun Bai, Karl Meerbergen, K. Meerbergen, 2010, SIAM J. Matrix Anal. Appl..

Linearizability of eigenvector nonlinearities pdf

Karl Meerbergen, Elias Jarlebring, Parikshit Upadhyaya, 2021, ArXiv.

Two‐level preconditioning for Ridge Regression

Yves Moreau, Karl Meerbergen, Jaak Simm, 2018, Numer. Linear Algebra Appl..

A randomized algorithm for testing nonsingularity of structured matrices with an application to asserting nondefectivity of Segre varieties

Raf Vandebril, Karl Meerbergen, Nick Vannieuwenhoven, 2015 .

Determining bound states in a semiconductor device with contacts using a nonlinear eigenvalue solver

Wim Michiels, Karl Meerbergen, Massimo V. Fischetti, 2014 .

Mixed forward–backward stability of the two-level orthogonal Arnoldi method for quadratic problems

Karl Meerbergen, K. Meerbergen, J. P'erez, 2017, Linear Algebra and its Applications.

Time integration for spherical acoustic finite–infinite element models

Karl Meerbergen, Mickaël Robbé, Jean-Pierre Coyette, 2005 .

The Infinite Arnoldi Method and an Application to Time-Delay Systems with Distributed Delays

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2012 .

An Arnoldi method with structured starting vectors for the delay eigenvalue problem

Wim Michiels, Karl Meerbergen, Elias Jarlebring, 2010 .

Fast algorithms for computing the distance to instability of nonlinear eigenvalue problems, with application to time-delay systems

Wim Michiels, Karl Meerbergen, Nicola Guglielmi, 2014 .

Shift-and-invert iteration for purely imaginary eigenvalues with application to the detection of Hopf Bifurcations in large scale problems

Karl Meerbergen, K. Meerbergen, 2008 .

A Jacobi‐Davidson method for two real parameter nonlinear eigenvalue problems arising from delay differential equations

Karl Meerbergen, Christian Schröder, Heinrich Voss, 2011 .

Automatic rational approximation and linearization of nonlinear eigenvalue problems

Karl Meerbergen, Pieter Lietaert, Bart Vandereycken, 2018, IMA Journal of Numerical Analysis.

Fast frequency response computation for Rayleigh damping

Karl Meerbergen, K. Meerbergen, 2008 .

The rational Lanczos method for the Hermitian eigenvalue problem

Karl Meerbergen, K. Meerbergen, 1999 .

Accelerating Design Optimization with Model Order Reduction

Karl Meerbergen, Yao Yue, 2010 .

The Lanczos Method with Semi-Definite Inner Product

Karl Meerbergen, K. Meerbergen, 2001 .

Hiding global communication latency and increasing the arithmetic intensity in extreme-scale Krylov solvers

Wim Vanroose, Pieter Ghysels, Karl Meerbergen, 2013 .

Matrix transformations for computing rightmost eigenvalues of large sparse nonsymmetric matrices

Karl Meerbergen, Dirk Roose, K. Meerbergen, 1994 .

A subspace method for unimodal symmetric eigenvalue optimization problems involving large scale matrices

Karl Meerbergen, K. Meerbergen, Jeroen De Vlieger, 2012 .

Connections between contour integration and rational Krylov methods for eigenvalue problems

Wim Michiels, Karl Meerbergen, Roel Van Beeumen, 2016 .

An efficient computational procedure for random vibro-acoustic simulations

Karl Meerbergen, Jean-Pierre Coyette, K. Meerbergen, 2006 .

Theory and numerical methods for eigenvalue problems

Karl Meerbergen, 2008 .

Linearization of Lagrange and Hermite interpolating matrix polynomials

Wim Michiels, Karl Meerbergen, Roel Van Beeumen, 2015 .

Model reduction for dynamical systems with quadratic output

Geert Lombaert, Karl Meerbergen, K. Van Nimmen, 2012 .

The design of a block rational Lanczos code with partial reorthogonalization and implicit restarting

Jennifer A. Scott, Karl Meerbergen, J. Scott, 2000 .

Interpolatory model order reduction by tensor Krylov methods

Karl Meerbergen, Pieter Lietaert, K. Meerbergen, 2015 .