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Researcher
Marc Van Barel
- Disciplines:Distributed computing, Scientific computing, Statistics and numerical methods
Affiliations
- Numerical Analysis and Applied Mathematics (NUMA) (Division)
Member
From1 Aug 2020 → Today - NUMA, Numerical Analysis and Applied Mathematics Section (Division)
Member
From1 Oct 1999 → 31 Jul 2020
Projects
1 - 10 of 10
- Short recurrence relations for rational Krylov and orthogonal rational functions inspired by modified momentsFrom1 Jan 2023 → TodayFunding: FWO research project (including WEAVE projects)
- Tensor Methods: Fast Matrix Multiplication and Rank AdaptationFrom15 Nov 2019 → 29 Mar 2024Funding: Own budget, for example: patrimony, inscription fees, gifts
- Structured low-rank matrix / tensor approximation: numerical optimization-based algorithms and applicationsFrom1 Jan 2018 → 31 Dec 2021Funding: FWO EOS
- Numerical Linear Algebra and Polynomial ComputationsFrom1 Oct 2017 → 30 Sep 2021Funding: BOF - Concerted Research Project from 1994
- Solving Systems of Polynomial EquationsFrom22 Sep 2016 → 21 Sep 2020Funding: Own budget, for example: patrimony, inscription fees, gifts
- Multivariate polynomial and rational interpolation and approximation.From1 Jan 2014 → 31 Dec 2017Funding: FWO research project
- Block Term Decompositions of Higher-Order Tensors: Uniqueness, Computation and Links with Structured Matrices.From1 Jan 2014 → 31 Dec 2017Funding: FWO research project (including WEAVE projects)
- Multi-parameter model order reduction and its applications.From1 Oct 2010 → 31 Dec 2016Funding: BOF - Concerted Research Project from 1994
- Block component analysis.From7 Sep 2010 → 31 Aug 2014Funding: IWT personal funding - strategic basic research grants
- Orthogonal Polynomials and Matrix Computations. Applications of Recurrence Relations.From7 Sep 2010 → 30 Apr 2019Funding: Own budget, for example: patrimony, inscription fees, gifts
Publications
1 - 10 of 113
- Tensor Methods: Fast Matrix Multiplication and Rank Adaptation(2024)
Authors: Charlotte Vermeylen, Marc Van Barel
- Rational QZ steps with perfect shifts(2024)
Authors: Marc Van Barel, Raf Vandebril
Pages: 1079 - 1102 - Adaptive cross approximation for Tikhonov regularization in general form(2023)
Authors: Marc Van Barel
Pages: 815 - 830 - Equivalent polyadic decompositions of matrix multiplication tensors(2022)
Authors: Marc Van Barel, Lieven De Lathauwer
- How and how not to check Gaussian quadrature formulae (vol 23, pg 209, 1983)(2022)
Authors: Marc Van Barel
Pages: 1091 - 1092 - Generation of orthogonal rational functions by procedures for structured matrices(2022)
Authors: Marc Van Barel, Raf Vandebril
Pages: 1 - 32 - Structured Matrix Techniques for Orthogonal Rational Functions and Rational Krylov Methods(2021)
Authors: Marc Van Barel, Raf Vandebril
- Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder(2021)
Authors: Marc Van Barel
Pages: 454 - 477 - Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms(2021)
Authors: Simon Telen, Marc Van Barel
Pages: 63 - 85 - Solving Systems of Polynomial Equations(2020)
Authors: Simon Telen, Marc Van Barel