Marc Van Barel

ORCID

Publication Activity (10 Years)

Years Active: 1991-2024
Publications (10 Years): 42

Top Venues

CoRR

J. Comput. Appl. Math.

Numer. Algorithms

SIAM J. Matrix Anal. Appl.

Publications

Charlotte Vermeylen, Marc Van Barel
Generalized cyclic symmetric decompositions for the matrix multiplication tensor. CoRR (2024)
Woula Themistoclakis, Marc Van Barel
A generalization of Floater-Hormann interpolants. J. Comput. Appl. Math. 441 (2024)
Charlotte Vermeylen, Marc Van Barel
A Riemannian rank-adaptive method for higher-order tensor completion in the tensor-train format. CoRR (2024)
Amin Faghih, Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
An Arnoldi-based approach to polynomial and rational least squares problems. CoRR (2024)
Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
Rational QZ steps with perfect shifts. Numer. Algorithms 95 (3) (2024)
Woula Themistoclakis, Marc Van Barel
A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces. Appl. Math. Lett. 153 (2024)
Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank. CoRR (2023)
Woula Themistoclakis, Marc Van Barel
A generalization of Floater-Hormann interpolants. CoRR (2023)
Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product. CoRR (2023)
Charlotte Vermeylen, Guillaume Olikier, Pierre-Antoine Absil, Marc Van Barel
Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format. EUSIPCO (2023)
Thomas Mach, Lothar Reichel, Marc Van Barel
Adaptive cross approximation for Tikhonov regularization in general form. Numer. Algorithms 92 (1) (2023)
Charlotte Vermeylen, Marc Van Barel
Stability Improvements for Fast Matrix Multiplication. CoRR (2023)
Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank. GSI (1) (2023)
Thomas Mach, Lothar Reichel, Marc Van Barel
Adaptive cross approximation for Tikhonov regularization in general form. CoRR (2022)
Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
Generation of orthogonal rational functions by procedures for structured matrices. Numer. Algorithms 89 (2) (2022)
Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel
Equivalent polyadic decompositions of matrix multiplication tensors. J. Comput. Appl. Math. 406 (2022)
Bernard Mourrain, Simon Telen, Marc Van Barel
Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms. J. Symb. Comput. 102 (2021)
Simon Telen, Sascha Timme, Marc Van Barel
Backward error measures for roots of polynomials. Numer. Algorithms 87 (1) (2021)
Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
Generation of orthogonal rational functions by procedures for structured matrices. CoRR (2021)
Simon Telen, Marc Van Barel, Jan Verschelde
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CoRR (2020)
Simon Telen, Marc Van Barel, Jan Verschelde
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. SIAM J. Sci. Comput. 42 (6) (2020)
Françoise Tisseur, Marc Van Barel
Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder. CoRR (2020)
Simon Telen, Sascha Timme, Marc Van Barel
Backward Error Measures for Roots of Polynomials. CoRR (2020)
Simon Telen, Marc Van Barel, Jan Verschelde
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CASC (2020)
Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel
Equivalent Polyadic Decompositions of Matrix Multiplication Tensors. CoRR (2019)
Woula Themistoclakis, Marc Van Barel
Uniform approximation on the sphere by least squares polynomials. Numer. Algorithms 81 (3) (2019)
Simon Telen, Marc Van Barel, Jan Verschelde
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. CoRR (2019)
Simon Telen, Marc Van Barel
A stabilized normal form algorithm for generic systems of polynomial equations. J. Comput. Appl. Math. 342 (2018)
Bernard Mourrain, Simon Telen, Marc Van Barel
Solving Polynomial Systems Efficiently and Accurately. CoRR (2018)
Simon Telen, Bernard Mourrain, Marc Van Barel
Solving Polynomial Systems via Truncated Normal Forms. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Simon Telen, Bernard Mourrain, Marc Van Barel
Truncated normal forms for solving polynomial systems. ACM Commun. Comput. Algebra 52 (3) (2018)
Otto Debals, Marc Van Barel, Lieven De Lathauwer
Nonnegative Matrix Factorization Using Nonnegative Polynomial Approximations. IEEE Signal Process. Lett. 24 (7) (2017)
Woula Themistoclakis, Marc Van Barel
Generalized de la Vallée Poussin approximations on [-1, 1]. Numer. Algorithms 75 (1) (2017)
Simon Telen, Marc Van Barel
A Stabilized Normal Form Algorithm for Generic Systems of Polynomial Equations. CoRR (2017)
Rocco Langone, Marc Van Barel, Johan A. K. Suykens
Efficient evolutionary spectral clustering. Pattern Recognit. Lett. 84 (2016)
Otto Debals, Marc Van Barel, Lieven De Lathauwer
Löwner-Based Blind Signal Separation of Rational Functions With Applications. IEEE Trans. Signal Process. 64 (8) (2016)
Piers W. Lawrence, Marc Van Barel, Paul Van Dooren
Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization. SIAM J. Matrix Anal. Appl. 37 (1) (2016)
Laurent Sorber, Ignat Domanov, Marc Van Barel, Lieven De Lathauwer
Exact line and plane search for tensor optimization. Comput. Optim. Appl. 63 (1) (2016)
Thanh Hieu Le, Marc Van Barel
A convex optimization model for finding non-negative polynomials. J. Comput. Appl. Math. 301 (2016)
Rocco Langone, Marc Van Barel, Johan A. K. Suykens
Entropy-Based Incomplete Cholesky Decomposition for a Scalable Spectral Clustering Algorithm: Computational Studies and Sensitivity Analysis. Entropy 18 (5) (2016)
Marc Van Barel, Peter Kravanja
Nonlinear eigenvalue problems and contour integrals. J. Comput. Appl. Math. 292 (2016)
Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril
Adaptive cross approximation for ill-posed problems. J. Comput. Appl. Math. 303 (2016)
Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
Structured Data Fusion. IEEE J. Sel. Top. Signal Process. 9 (4) (2015)
Otto Debals, Marc Van Barel, Lieven De Lathauwer
Blind signal separation of rational functions using Löwner-based tensorization. ICASSP (2015)
Thanh Hieu Le, Marc Van Barel
An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions. Numer. Algorithms 69 (2) (2015)
Thanh Hieu Le, Marc Van Barel
A convex optimization method to solve a filter design problem. J. Comput. Appl. Math. 255 (2014)
Matthias Humet, Marc Van Barel
Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. J. Comput. Appl. Math. 267 (2014)
Dario A. Bini, Lieven De Lathauwer, Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
Introduction to the special issue. J. Comput. Appl. Math. 272 (2014)
Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
Numerical Solution of Bivariate and Polyanalytic Polynomial Systems. SIAM J. Numer. Anal. 52 (4) (2014)
Thomas Mach, Marc Van Barel, Raf Vandebril
Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. J. Comput. Appl. Math. 272 (2014)
Katrijn Frederix, Marc Van Barel
Sparse spectral clustering method based on the incomplete Cholesky decomposition. J. Comput. Appl. Math. 237 (1) (2013)
Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
Terms, and a New Generalization. SIAM J. Optim. 23 (2) (2013)
Katrijn Frederix, Steven Delvaux, Marc Van Barel
An algorithm for computing the eigenvalues of block companion matrices. Numer. Algorithms 62 (2) (2013)
Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
Unconstrained Optimization of Real Functions in Complex Variables. SIAM J. Optim. 22 (3) (2012)
Matthias Humet, Marc Van Barel
When is the Uvarov transformation positive definite? Numer. Algorithms 59 (1) (2012)
Greg S. Ammar, Lothar Reichel, Marc Van Barel
Dedication to William B. Gragg on the Occasion of his 70th Birthday. J. Comput. Appl. Math. 233 (5) (2010)
Marc Van Barel, Yvette Vanberghen, Paul Van Dooren
Using semiseparable matrices to compute the SVD of a general matrix product/quotient. J. Comput. Appl. Math. 234 (11) (2010)
Marc Van Barel, Andrey Chesnokov
A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. Numer. Algorithms 55 (2-3) (2010)
Katrijn Frederix, Marc Van Barel
Solving a large dense linear system by adaptive cross approximation. J. Comput. Appl. Math. 234 (11) (2010)
Marc Van Barel, Raf Vandebril, Paul Van Dooren, Katrijn Frederix
-algorithm for companion matrices. Numerische Mathematik 116 (2) (2010)
Adhemar Bultheel, Patrick Van Gucht, Marc Van Barel
Orthogonal Rational Functions with real coefficients and semiseparable matrices. J. Comput. Appl. Math. 233 (5) (2010)
Andrey Chesnokov, Karl Deckers, Marc Van Barel
A numerical solution of the constrained weighted energy problem. J. Comput. Appl. Math. 235 (4) (2010)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
A multiple shift QR-step for structured rank matrices. J. Comput. Appl. Math. 233 (5) (2010)
Andrey Chesnokov, Marc Van Barel
A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. J. Comput. Appl. Math. 234 (5) (2010)
Raf Vandebril, Gene H. Golub, Marc Van Barel
A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 31 (1) (2009)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
-iteration without inversion. Numerische Mathematik 110 (4) (2008)
Nicola Mastronardi, Marc Van Barel, Raf Vandebril
A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Numer. Linear Algebra Appl. 15 (4) (2008)
Steven Delvaux, Marc Van Barel
A QR-Based Solver for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Teresa Laudadio, Nicola Mastronardi, Marc Van Barel
Computing a Lower Bound of the Smallest Eigenvalue of a Symmetric Positive-Definite Toeplitz Matrix. IEEE Trans. Inf. Theory 54 (10) (2008)
Steven Delvaux, Marc Van Barel
A Hessenberg Reduction Algorithm for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. 29 (3) (2007)
Steven Delvaux, Marc Van Barel
A Givens-Weight Representation for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. 29 (4) (2007)
Raf Vandebril, Gene H. Golub, Marc Van Barel
A small note on the scaling of symmetric positive definite semiseparable matrices. Numer. Algorithms 41 (3) (2006)
Steven Delvaux, Marc Van Barel
Structures Preserved by Schur Complementation. SIAM J. Matrix Anal. Appl. 28 (1) (2006)
Steven Delvaux, Marc Van Barel
Structures preserved by matrix inversion. SIAM J. Matrix Anal. Appl. 28 (1) (2006)
Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi
Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Numerische Mathematik 102 (4) (2006)
Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi
On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Numerische Mathematik 104 (2) (2006)
Gianni Codevico, Georg Heinig, Marc Van Barel
A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Numer. Linear Algebra Appl. 12 (8) (2005)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
algorithm for symmetric semiseparable matrices. Numer. Linear Algebra Appl. 12 (7) (2005)
Steven Delvaux, Marc Van Barel
Orthonormal rational function vectors. Numerische Mathematik 100 (3) (2005)
Nicola Mastronardi, Ellen Van Camp, Marc Van Barel
Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Numer. Algorithms 39 (4) (2005)
Marc Van Barel, Raf Vandebril, Nicola Mastronardi
An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form. SIAM J. Matrix Anal. Appl. 27 (1) (2005)
Marc Van Barel, Ellen Van Camp, Nicola Mastronardi
. Numer. Linear Algebra Appl. 12 (10) (2005)
S. Helsen, Arno B. J. Kuijlaars, Marc Van Barel
Convergence of the Isometric Arnoldi Process. SIAM J. Matrix Anal. Appl. 26 (3) (2005)
Adhemar Bultheel, Marc Van Barel, Yves Rolain, Rik Pintelon
Numerically robust transfer function modeling from noisy frequency domain data. IEEE Trans. Autom. Control. 50 (11) (2005)
Nicola Mastronardi, Marc Van Barel, Raf Vandebril
A note on the recursive calculation of dominant singular subspaces. Numer. Algorithms 38 (4) (2005)
Marc Van Barel, Dario Fasino, Luca Gemignani, Nicola Mastronardi
Orthogonal Rational Functions and Structured Matrices. SIAM J. Matrix Anal. Appl. 26 (3) (2005)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
A note on the representation and definition of semiseparable matrices. Numer. Linear Algebra Appl. 12 (8) (2005)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
-method for computing the singular values via semiseparable matrices. Numerische Mathematik 99 (1) (2004)
Victor Y. Pan, Marc Van Barel, Xinmao Wang, Gianni Codevico
Iterative inversion of structured matrices. Theor. Comput. Sci. 315 (2-3) (2004)
Fasma Diele, Nicola Mastronardi, Marc Van Barel, Ellen Van Camp
On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices. ICCSA (2) (2004)
Gianni Codevico, Victor Y. Pan, Marc Van Barel
Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices. Numer. Algorithms 36 (4) (2004)
Dario A. Bini, Gianni Codevico, Marc Van Barel
Solving Toeplitz Least Squares Problems by Means of Newton's Iteration. Numer. Algorithms 33 (1-4) (2003)
Peter Kravanja, Tetsuya Sakurai, Marc Van Barel
Error Analysis of a Derivative-Free Algorithm for Computing Zeros of Holomorphic Functions. Computing 70 (4) (2003)
Adhemar Bultheel, Marc Van Barel, Yves Rolain, Johan Schoukens
Robust rational approximation for identification. CDC (2001)
Marc Van Barel, Georg Heinig, Peter Kravanja
A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems. SIAM J. Matrix Anal. Appl. 23 (2) (2001)
Peter Kravanja, Marc Van Barel
Coupled Vandermonde matrices and the superfast computation of Toeplitz determinants. Numer. Algorithms 24 (1-2) (2000)
Marc Van Barel, Georg Heinig, Peter Kravanja
An Algorithm Based on Orthogonal Polynominal Vectors for Toeplitz Least Squares Problems. NAA (2000)
Peter Kravanja, Marc Van Barel
A Derivative-Free Algorithm for Computing Zeros of Analytic Functions. Computing 63 (1) (1999)
Marc Van Barel, Peter Kravanja
On the Generically Superfast Computation of Hankel Determinants. LSSC (1999)
Adhemar Bultheel, Marc Van Barel
Vector Orthogonal Polynomials and Least Squares Approximation. SIAM J. Matrix Anal. Appl. 16 (3) (1995)

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Publication Activity (10 Years)

Top Topics

Top Venues

Marc Van Barel