Search Results for author: Karl Meerbergen

Found 6 papers, 3 papers with code

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

no code implementations28 Dec 2020 Simon Dirckx, Daan Huybrechs, Karl Meerbergen

Algebraically, this leads to a Hadamard product of a frequency matrix with an $\Hmat$.

Numerical Analysis Mathematical Software Numerical Analysis

Multilevel Gibbs Sampling for Bayesian Regression

no code implementations25 Sep 2020 Joris Tavernier, Jaak Simm, Adam Arany, Karl Meerbergen, Yves Moreau

Additionally, the use of correlated samples is investigated for variance reduction to improve the convergence of the Markov Chain.

Bayesian Inference Clustering +1

A multishift, multipole rational QZ method with aggressive early deflation

1 code implementation28 Feb 2019 Daan Camps, Karl Meerbergen, Raf Vandebril

The rational QZ method generalizes the QZ method by implicitly supporting rational subspace iteration.

Numerical Analysis 65F15, 15A18

A rational QZ method

1 code implementation12 Feb 2018 Daan Camps, Karl Meerbergen, Raf Vandebril

In this article we study Hessenberg, Hessenberg pencils, link them to rational Krylov subspaces, propose a direct reduction method to such a pencil, and introduce the implicit rational QZ step.

Numerical Analysis 65F15, 15A18

Automatic rational approximation and linearization of nonlinear eigenvalue problems

1 code implementation25 Jan 2018 Pieter Lietaert, Javier Pérez, Bart Vandereycken, Karl Meerbergen

The method uses the AAA method by Nakatsukasa, S\`{e}te, and Trefethen to approximate the nonlinear eigenvalue problem by a rational eigenvalue problem and is embedded in the state space representation of a rational polynomial by Su and Bai.

Numerical Analysis 65F15, 65F50, 15A22, 47A56, 47J10

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