Marc Van Barel

117 papers B 1Misc 1Journal 109Unranked 6

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A parametric family of polynomial wavelets for signal and image processing. J. Comput. Appl. Math. Mariantonia Cotronei, Woula Themistoclakis, Marc Van Barel
2026	J	`jnl`	Orthonormal polynomial wavelets associated with de la Vallée Poussin-type interpolation on [-1,1]. CoRR Woula Themistoclakis, Marc Van Barel
2025	J	`jnl`	A Parametric Family of Polynomial Wavelets for Signal and Image Processing. CoRR Mariantonia Cotronei, Woula Themistoclakis, Marc Van Barel
2025	J	`jnl`	A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems. Numer. Linear Algebra Appl. Amin Faghih, Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
2025	J	`jnl`	A Riemannian Rank-Adaptive Method for Higher-Order Tensor Completion in the Tensor-Train Format. Numer. Linear Algebra Appl. Charlotte Vermeylen, Marc Van Barel
2025	J	`jnl`	A free parameter dependent family of polynomial wavelets on a compact interval. Numer. Algorithms Woula Themistoclakis, Marc Van Barel
2025	J	`jnl`	A free parameter depending family of polynomial wavelets on a compact interval. CoRR Woula Themistoclakis, Marc Van Barel
2025	J	`jnl`	A note on generalized Floater-Hormann interpolation at arbitrary distributions of nodes. Numer. Algorithms Woula Themistoclakis, Marc Van Barel
2025	J	`jnl`	Constructing Sobolev orthonormal rational functions via an updating procedure. CoRR Amin Faghih, Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
2025	J	`jnl`	Constructing Sobolev orthonormal rational functions via an updating procedure. Numer. Algorithms Amin Faghih, Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
2025	J	`jnl`	Krylov and core transformation algorithms for an inverse eigenvalue problem to compute recurrences of multiple orthogonal polynomials. CoRR Amin Faghih, Michele Rinelli, Marc Van Barel, Raf Vandebril, Robbe Vermeiren
2025	J	`jnl`	On computing the zeros of a class of Sobolev orthogonal polynomials. CoRR Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
2025	J	`jnl`	On computing the zeros of a class of Sobolev orthogonal polynomials. Numer. Algorithms Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
2025	J	`jnl`	Stability improvements for fast matrix multiplication. Numer. Algorithms Charlotte Vermeylen, Marc Van Barel
2024	J	`jnl`	A Riemannian rank-adaptive method for higher-order tensor completion in the tensor-train format. CoRR Charlotte Vermeylen, Marc Van Barel
2024	J	`jnl`	A generalization of Floater-Hormann interpolants. J. Comput. Appl. Math. Woula Themistoclakis, Marc Van Barel
2024	J	`jnl`	A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces. Appl. Math. Lett. Woula Themistoclakis, Marc Van Barel
2024	J	`jnl`	An Arnoldi-based approach to polynomial and rational least squares problems. CoRR Amin Faghih, Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
2024	J	`jnl`	Generalized cyclic symmetric decompositions for the matrix multiplication tensor. CoRR Charlotte Vermeylen, Marc Van Barel
2024	J	`jnl`	Rational QZ steps with perfect shifts. Numer. Algorithms Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
2023	J	`jnl`	A generalization of Floater-Hormann interpolants. CoRR Woula Themistoclakis, Marc Van Barel
2023	J	`jnl`	Adaptive cross approximation for Tikhonov regularization in general form. Numer. Algorithms Thomas Mach, Lothar Reichel, Marc Van Barel
2023	J	`jnl`	Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product. CoRR Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
2023	—	`conf`	An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank. GSI (1) Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel
2023	J	`jnl`	An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank. CoRR Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel
2023	—	`conf`	Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format. EUSIPCO Charlotte Vermeylen, Guillaume Olikier, Pierre-Antoine Absil, Marc Van Barel
2023	J	`jnl`	Stability Improvements for Fast Matrix Multiplication. CoRR Charlotte Vermeylen, Marc Van Barel
2022	J	`jnl`	Adaptive cross approximation for Tikhonov regularization in general form. CoRR Thomas Mach, Lothar Reichel, Marc Van Barel
2022	J	`jnl`	Equivalent polyadic decompositions of matrix multiplication tensors. J. Comput. Appl. Math. Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel
2022	J	`jnl`	Generation of orthogonal rational functions by procedures for structured matrices. Numer. Algorithms Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
2021	J	`jnl`	Backward error measures for roots of polynomials. Numer. Algorithms Simon Telen, Sascha Timme, Marc Van Barel
2021	J	`jnl`	Generation of orthogonal rational functions by procedures for structured matrices. CoRR Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
2021	J	`jnl`	Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms. J. Symb. Comput. Bernard Mourrain, Simon Telen, Marc Van Barel
2020	J	`jnl`	A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. SIAM J. Sci. Comput. Simon Telen, Marc Van Barel, Jan Verschelde
2020	J	`jnl`	Backward Error Measures for Roots of Polynomials. CoRR Simon Telen, Sascha Timme, Marc Van Barel
2020	J	`jnl`	Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder. CoRR Françoise Tisseur, Marc Van Barel
2020	B	`conf`	Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CASC Simon Telen, Marc Van Barel, Jan Verschelde
2020	J	`jnl`	Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CoRR Simon Telen, Marc Van Barel, Jan Verschelde
2019	J	`jnl`	A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. CoRR Simon Telen, Marc Van Barel, Jan Verschelde
2019	J	`jnl`	Equivalent Polyadic Decompositions of Matrix Multiplication Tensors. CoRR Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel
2019	J	`jnl`	Uniform approximation on the sphere by least squares polynomials. Numer. Algorithms Woula Themistoclakis, Marc Van Barel
2018	J	`jnl`	A stabilized normal form algorithm for generic systems of polynomial equations. J. Comput. Appl. Math. Simon Telen, Marc Van Barel
2018	J	`jnl`	Solving Polynomial Systems Efficiently and Accurately. CoRR Bernard Mourrain, Simon Telen, Marc Van Barel
2018	J	`jnl`	Solving Polynomial Systems via Truncated Normal Forms. SIAM J. Matrix Anal. Appl. Simon Telen, Bernard Mourrain, Marc Van Barel
2018	J	`jnl`	Truncated normal forms for solving polynomial systems. ACM Commun. Comput. Algebra Simon Telen, Bernard Mourrain, Marc Van Barel
2017	J	`jnl`	A Stabilized Normal Form Algorithm for Generic Systems of Polynomial Equations. CoRR Simon Telen, Marc Van Barel
2017	J	`jnl`	Generalized de la Vallée Poussin approximations on [-1, 1]. Numer. Algorithms Woula Themistoclakis, Marc Van Barel
2017	J	`jnl`	Nonnegative Matrix Factorization Using Nonnegative Polynomial Approximations. IEEE Signal Process. Lett. Otto Debals, Marc Van Barel, Lieven De Lathauwer
2016	J	`jnl`	A convex optimization model for finding non-negative polynomials. J. Comput. Appl. Math. Thanh Hieu Le, Marc Van Barel
2016	J	`jnl`	Adaptive cross approximation for ill-posed problems. J. Comput. Appl. Math. Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril
2016	J	`jnl`	Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization. SIAM J. Matrix Anal. Appl. Piers W. Lawrence, Marc Van Barel, Paul Van Dooren
2016	J	`jnl`	Efficient evolutionary spectral clustering. Pattern Recognit. Lett. Rocco Langone, Marc Van Barel, Johan A. K. Suykens
2016	J	`jnl`	Entropy-Based Incomplete Cholesky Decomposition for a Scalable Spectral Clustering Algorithm: Computational Studies and Sensitivity Analysis. Entropy Rocco Langone, Marc Van Barel, Johan A. K. Suykens
2016	J	`jnl`	Exact line and plane search for tensor optimization. Comput. Optim. Appl. Laurent Sorber, Ignat Domanov, Marc Van Barel, Lieven De Lathauwer
2016	J	`jnl`	Löwner-Based Blind Signal Separation of Rational Functions With Applications. IEEE Trans. Signal Process. Otto Debals, Marc Van Barel, Lieven De Lathauwer
2016	J	`jnl`	Nonlinear eigenvalue problems and contour integrals. J. Comput. Appl. Math. Marc Van Barel, Peter Kravanja
2015	J	`jnl`	An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions. Numer. Algorithms Thanh Hieu Le, Marc Van Barel
2015	Misc	`conf`	Blind signal separation of rational functions using Löwner-based tensorization. ICASSP Otto Debals, Marc Van Barel, Lieven De Lathauwer
2015	J	`jnl`	Structured Data Fusion. IEEE J. Sel. Top. Signal Process. Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
2014	J	`jnl`	A convex optimization method to solve a filter design problem. J. Comput. Appl. Math. Thanh Hieu Le, Marc Van Barel
2014	J	`jnl`	Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. J. Comput. Appl. Math. Matthias Humet, Marc Van Barel
2014	J	`jnl`	Introduction to the special issue. J. Comput. Appl. Math. Dario A. Bini, Lieven De Lathauwer, Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren
2014	J	`jnl`	Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. J. Comput. Appl. Math. Thomas Mach, Marc Van Barel, Raf Vandebril
2014	J	`jnl`	Numerical Solution of Bivariate and Polyanalytic Polynomial Systems. SIAM J. Numer. Anal. Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
2013	J	`jnl`	An algorithm for computing the eigenvalues of block companion matrices. Numer. Algorithms Katrijn Frederix, Steven Delvaux, Marc Van Barel
2013	J	`jnl`	Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-(L SIAM J. Optim. Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
2013	J	`jnl`	Sparse spectral clustering method based on the incomplete Cholesky decomposition. J. Comput. Appl. Math. Katrijn Frederix, Marc Van Barel
2012	J	`jnl`	Unconstrained Optimization of Real Functions in Complex Variables. SIAM J. Optim. Laurent Sorber, Marc Van Barel, Lieven De Lathauwer
2012	J	`jnl`	When is the Uvarov transformation positive definite? Numer. Algorithms Matthias Humet, Marc Van Barel
2010	J	`jnl`	A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. J. Comput. Appl. Math. Andrey Chesnokov, Marc Van Barel
2010	J	`jnl`	A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. Numer. Algorithms Marc Van Barel, Andrey Chesnokov
2010	J	`jnl`	A multiple shift QR-step for structured rank matrices. J. Comput. Appl. Math. Raf Vandebril, Marc Van Barel, Nicola Mastronardi
2010	J	`jnl`	A numerical solution of the constrained weighted energy problem. J. Comput. Appl. Math. Andrey Chesnokov, Karl Deckers, Marc Van Barel
2010	J	`jnl`	Dedication to William B. Gragg on the Occasion of his 70th Birthday. J. Comput. Appl. Math. Greg S. Ammar, Lothar Reichel, Marc Van Barel
2010	J	`jnl`	Implicit double shift Numerische Mathematik Marc Van Barel, Raf Vandebril, Paul Van Dooren, Katrijn Frederix
2010	J	`jnl`	Orthogonal Rational Functions with real coefficients and semiseparable matrices. J. Comput. Appl. Math. Adhemar Bultheel, Patrick Van Gucht, Marc Van Barel
2010	J	`jnl`	Solving a large dense linear system by adaptive cross approximation. J. Comput. Appl. Math. Katrijn Frederix, Marc Van Barel
2010	J	`jnl`	Using semiseparable matrices to compute the SVD of a general matrix product/quotient. J. Comput. Appl. Math. Marc Van Barel, Yvette Vanberghen, Paul Van Dooren
2009	J	`jnl`	A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem. SIAM J. Matrix Anal. Appl. Raf Vandebril, Gene H. Golub, Marc Van Barel
2008	J	`jnl`	A QR-Based Solver for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. Steven Delvaux, Marc Van Barel
2008	J	`jnl`	A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Numer. Linear Algebra Appl. Nicola Mastronardi, Marc Van Barel, Raf Vandebril
2008	J	`jnl`	Computing a Lower Bound of the Smallest Eigenvalue of a Symmetric Positive-Definite Toeplitz Matrix. IEEE Trans. Inf. Theory Teresa Laudadio, Nicola Mastronardi, Marc Van Barel
2008	J	`jnl`	Rational Numerische Mathematik Raf Vandebril, Marc Van Barel, Nicola Mastronardi
2007	J	`jnl`	A Givens-Weight Representation for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. Steven Delvaux, Marc Van Barel
2007	J	`jnl`	A Hessenberg Reduction Algorithm for Rank Structured Matrices. SIAM J. Matrix Anal. Appl. Steven Delvaux, Marc Van Barel
2006	J	`jnl`	A small note on the scaling of symmetric positive definite semiseparable matrices. Numer. Algorithms Raf Vandebril, Gene H. Golub, Marc Van Barel
2006	J	`jnl`	On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Numerische Mathematik Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi
2006	J	`jnl`	Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Numerische Mathematik Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi
2006	J	`jnl`	Structures Preserved by Schur Complementation. SIAM J. Matrix Anal. Appl. Steven Delvaux, Marc Van Barel
2006	J	`jnl`	Structures preserved by matrix inversion. SIAM J. Matrix Anal. Appl. Steven Delvaux, Marc Van Barel
2005	J	`jnl`	A note on the recursive calculation of dominant singular subspaces. Numer. Algorithms Nicola Mastronardi, Marc Van Barel, Raf Vandebril
2005	J	`jnl`	A note on the representation and definition of semiseparable matrices. Numer. Linear Algebra Appl. Raf Vandebril, Marc Van Barel, Nicola Mastronardi
2005	J	`jnl`	A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Numer. Linear Algebra Appl. Gianni Codevico, Georg Heinig, Marc Van Barel
2005	J	`jnl`	An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form. SIAM J. Matrix Anal. Appl. Marc Van Barel, Raf Vandebril, Nicola Mastronardi
2005	J	`jnl`	An implicit Numer. Linear Algebra Appl. Raf Vandebril, Marc Van Barel, Nicola Mastronardi
2005	J	`jnl`	Convergence of the Isometric Arnoldi Process. SIAM J. Matrix Anal. Appl. S. Helsen, Arno B. J. Kuijlaars, Marc Van Barel
2005	J	`jnl`	Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Numer. Algorithms Nicola Mastronardi, Ellen Van Camp, Marc Van Barel
2005	J	`jnl`	Numerically robust transfer function modeling from noisy frequency domain data. IEEE Trans. Autom. Control. Adhemar Bultheel, Marc Van Barel, Yves Rolain, Rik Pintelon
2005	J	`jnl`	Orthogonal Rational Functions and Structured Matrices. SIAM J. Matrix Anal. Appl. Marc Van Barel, Dario Fasino, Luca Gemignani, Nicola Mastronardi
2005	J	`jnl`	Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank Numer. Linear Algebra Appl. Marc Van Barel, Ellen Van Camp, Nicola Mastronardi
2005	J	`jnl`	Orthonormal rational function vectors. Numerische Mathematik Steven Delvaux, Marc Van Barel
2004	J	`jnl`	A Numerische Mathematik Raf Vandebril, Marc Van Barel, Nicola Mastronardi
2004	J	`jnl`	Iterative inversion of structured matrices. Theor. Comput. Sci. Victor Y. Pan, Marc Van Barel, Xinmao Wang, Gianni Codevico
2004	J	`jnl`	Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices. Numer. Algorithms Gianni Codevico, Victor Y. Pan, Marc Van Barel
2004	—	`conf`	On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices. ICCSA (2) Fasma Diele, Nicola Mastronardi, Marc Van Barel, Ellen Van Camp
2003	J	`jnl`	Error Analysis of a Derivative-Free Algorithm for Computing Zeros of Holomorphic Functions. Computing Peter Kravanja, Tetsuya Sakurai, Marc Van Barel
2003	J	`jnl`	Solving Toeplitz Least Squares Problems by Means of Newton's Iteration. Numer. Algorithms Dario A. Bini, Gianni Codevico, Marc Van Barel
2001	J	`jnl`	A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems. SIAM J. Matrix Anal. Appl. Marc Van Barel, Georg Heinig, Peter Kravanja
2001	—	`conf`	Robust rational approximation for identification. CDC Adhemar Bultheel, Marc Van Barel, Yves Rolain, Johan Schoukens
2000	—	`conf`	An Algorithm Based on Orthogonal Polynominal Vectors for Toeplitz Least Squares Problems. NAA Marc Van Barel, Georg Heinig, Peter Kravanja
2000	J	`jnl`	Coupled Vandermonde matrices and the superfast computation of Toeplitz determinants. Numer. Algorithms Peter Kravanja, Marc Van Barel
1999	J	`jnl`	A Derivative-Free Algorithm for Computing Zeros of Analytic Functions. Computing Peter Kravanja, Marc Van Barel
1999	—	`conf`	On the Generically Superfast Computation of Hankel Determinants. LSSC Marc Van Barel, Peter Kravanja
1995	J	`jnl`	Formal orthogonal polynomials and Hankel/Toeplitz duality. Numer. Algorithms Adhemar Bultheel, Marc Van Barel
1995	J	`jnl`	Vector Orthogonal Polynomials and Least Squares Approximation. SIAM J. Matrix Anal. Appl. Adhemar Bultheel, Marc Van Barel
1992	J	`jnl`	A general module theoretic framework for vector M-Padé and matrix rational interpolation. Numer. Algorithms Marc Van Barel, Adhemar Bultheel
1991	J	`jnl`	The computation of non-perfect Padé-Hermite approximants. Numer. Algorithms Marc Van Barel, Adhemar Bultheel