Marc Van Barel

According to our database, Marc Van Barel authored at least 91 papers between 1991 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

A generalization of Floater-Hormann interpolants.

Woula Themistoclakis, Marc Van Barel

J. Comput. Appl. Math., May, 2024

Rational QZ steps with perfect shifts.

Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren

Numer. Algorithms, March, 2024

A Riemannian rank-adaptive method for higher-order tensor completion in the tensor-train format.

Charlotte Vermeylen, Marc Van Barel

CoRR, 2024

2023

Adaptive cross approximation for Tikhonov regularization in general form.

Thomas Mach, Lothar Reichel, Marc Van Barel

Numer. Algorithms, January, 2023

Stability Improvements for Fast Matrix Multiplication.

Charlotte Vermeylen, Marc Van Barel

CoRR, 2023

Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product.

Marc Van Barel, Niel Van Buggenhout, Raf Vandebril

CoRR, 2023

An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank.

Charlotte Vermeylen, Guillaume Olikier, Marc Van Barel

Proceedings of the Geometric Science of Information - 6th International Conference, 2023

Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format.

Charlotte Vermeylen, Guillaume Olikier, Pierre-Antoine Absil, Marc Van Barel

Proceedings of the 31st European Signal Processing Conference, 2023

2022

Generation of orthogonal rational functions by procedures for structured matrices.

Niel Van Buggenhout, Marc Van Barel, Raf Vandebril

Numer. Algorithms, 2022

Equivalent polyadic decompositions of matrix multiplication tensors.

Guillaume O. Berger, Pierre-Antoine Absil, Lieven De Lathauwer, Raphaël M. Jungers, Marc Van Barel

J. Comput. Appl. Math., 2022

2021

Backward error measures for roots of polynomials.

Simon Telen, Sascha Timme, Marc Van Barel

Numer. Algorithms, 2021

Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms.

Bernard Mourrain, Simon Telen, Marc Van Barel

J. Symb. Comput., 2021

2020

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation.

Simon Telen, Marc Van Barel, Jan Verschelde

SIAM J. Sci. Comput., 2020

Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder.

Françoise Tisseur, Marc Van Barel

CoRR, 2020

Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers.

Simon Telen, Marc Van Barel, Jan Verschelde

Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019

Uniform approximation on the sphere by least squares polynomials.

Woula Themistoclakis, Marc Van Barel

Numer. Algorithms, 2019

2018

Solving Polynomial Systems via Truncated Normal Forms.

Simon Telen, Bernard Mourrain, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2018

A stabilized normal form algorithm for generic systems of polynomial equations.

Simon Telen, Marc Van Barel

J. Comput. Appl. Math., 2018

Solving Polynomial Systems Efficiently and Accurately.

Bernard Mourrain, Simon Telen, Marc Van Barel

CoRR, 2018

Truncated normal forms for solving polynomial systems.

Simon Telen, Bernard Mourrain, Marc Van Barel

ACM Commun. Comput. Algebra, 2018

2017

Nonnegative Matrix Factorization Using Nonnegative Polynomial Approximations.

Otto Debals, Marc Van Barel, Lieven De Lathauwer

IEEE Signal Process. Lett., 2017

Generalized de la Vallée Poussin approximations on [-1, 1].

Woula Themistoclakis, Marc Van Barel

Numer. Algorithms, 2017

2016

Löwner-Based Blind Signal Separation of Rational Functions With Applications.

Otto Debals, Marc Van Barel, Lieven De Lathauwer

IEEE Trans. Signal Process., 2016

Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization.

Piers W. Lawrence, Marc Van Barel, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2016

Efficient evolutionary spectral clustering.

Rocco Langone, Marc Van Barel, Johan A. K. Suykens

Pattern Recognit. Lett., 2016

Adaptive cross approximation for ill-posed problems.

Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril

J. Comput. Appl. Math., 2016

A convex optimization model for finding non-negative polynomials.

Thanh Hieu Le, Marc Van Barel

J. Comput. Appl. Math., 2016

Nonlinear eigenvalue problems and contour integrals.

Marc Van Barel, Peter Kravanja

J. Comput. Appl. Math., 2016

Entropy-Based Incomplete Cholesky Decomposition for a Scalable Spectral Clustering Algorithm: Computational Studies and Sensitivity Analysis.

Rocco Langone, Marc Van Barel, Johan A. K. Suykens

Entropy, 2016

Exact line and plane search for tensor optimization.

Laurent Sorber, Ignat Domanov, Marc Van Barel, Lieven De Lathauwer

Comput. Optim. Appl., 2016

2015

An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions.

Thanh Hieu Le, Marc Van Barel

Numer. Algorithms, 2015

Structured Data Fusion.

Laurent Sorber, Marc Van Barel, Lieven De Lathauwer

IEEE J. Sel. Top. Signal Process., 2015

Blind signal separation of rational functions using Löwner-based tensorization.

Otto Debals, Marc Van Barel, Lieven De Lathauwer

Proceedings of the 2015 IEEE International Conference on Acoustics, 2015

2014

Numerical Solution of Bivariate and Polyanalytic Polynomial Systems.

Laurent Sorber, Marc Van Barel, Lieven De Lathauwer

SIAM J. Numer. Anal., 2014

Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices.

Thomas Mach, Marc Van Barel, Raf Vandebril

J. Comput. Appl. Math., 2014

A convex optimization method to solve a filter design problem.

Thanh Hieu Le, Marc Van Barel

J. Comput. Appl. Math., 2014

Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle.

Matthias Humet, Marc Van Barel

J. Comput. Appl. Math., 2014

Introduction to the special issue.

Dario A. Bini, Lieven De Lathauwer, Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren

J. Comput. Appl. Math., 2014

2013

Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-(L_{r, L_{r, 1)}} Terms, and a New Generalization.

Laurent Sorber, Marc Van Barel, Lieven De Lathauwer

SIAM J. Optim., 2013

An algorithm for computing the eigenvalues of block companion matrices.

Katrijn Frederix, Steven Delvaux, Marc Van Barel

Numer. Algorithms, 2013

Sparse spectral clustering method based on the incomplete Cholesky decomposition.

Katrijn Frederix, Marc Van Barel

J. Comput. Appl. Math., 2013

2012

Unconstrained Optimization of Real Functions in Complex Variables.

Laurent Sorber, Marc Van Barel, Lieven De Lathauwer

SIAM J. Optim., 2012

When is the Uvarov transformation positive definite?

Matthias Humet, Marc Van Barel

Numer. Algorithms, 2012

2010

Implicit double shift <i>QR</i>-algorithm for companion matrices.

Marc Van Barel, Raf Vandebril, Paul Van Dooren, Katrijn Frederix

Numerische Mathematik, 2010

A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations.

Marc Van Barel, Andrey Chesnokov

Numer. Algorithms, 2010

A multiple shift QR-step for structured rank matrices.

Raf Vandebril, Marc Van Barel, Nicola Mastronardi

J. Comput. Appl. Math., 2010

Solving a large dense linear system by adaptive cross approximation.

Katrijn Frederix, Marc Van Barel

J. Comput. Appl. Math., 2010

A numerical solution of the constrained weighted energy problem.

Andrey Chesnokov, Karl Deckers, Marc Van Barel

J. Comput. Appl. Math., 2010

A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks.

Andrey Chesnokov, Marc Van Barel

J. Comput. Appl. Math., 2010

Orthogonal Rational Functions with real coefficients and semiseparable matrices.

Adhemar Bultheel, Patrick Van Gucht, Marc Van Barel

J. Comput. Appl. Math., 2010

Using semiseparable matrices to compute the SVD of a general matrix product/quotient.

Marc Van Barel, Yvette Vanberghen, Paul Van Dooren

J. Comput. Appl. Math., 2010

Dedication to William B. Gragg on the Occasion of his 70th Birthday.

Greg S. Ammar, Lothar Reichel, Marc Van Barel

J. Comput. Appl. Math., 2010

2009

A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem.

Raf Vandebril, Gene H. Golub, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2009

2008

Computing a Lower Bound of the Smallest Eigenvalue of a Symmetric Positive-Definite Toeplitz Matrix.

Teresa Laudadio, Nicola Mastronardi, Marc Van Barel

IEEE Trans. Inf. Theory, 2008

A QR-Based Solver for Rank Structured Matrices.

Steven Delvaux, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2008

Rational <i>QR</i>-iteration without inversion.

Raf Vandebril, Marc Van Barel, Nicola Mastronardi

Numerische Mathematik, 2008

A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix.

Nicola Mastronardi, Marc Van Barel, Raf Vandebril

Numer. Linear Algebra Appl., 2008

2007

A Givens-Weight Representation for Rank Structured Matrices.

Steven Delvaux, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2007

A Hessenberg Reduction Algorithm for Rank Structured Matrices.

Steven Delvaux, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2007

2006

Structures Preserved by Schur Complementation.

Steven Delvaux, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2006

Structures preserved by matrix inversion.

Steven Delvaux, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2006

On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form.

Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi

Numerische Mathematik, 2006

Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal.

Raf Vandebril, Ellen Van Camp, Marc Van Barel, Nicola Mastronardi

Numerische Mathematik, 2006

A small note on the scaling of symmetric positive definite semiseparable matrices.

Raf Vandebril, Gene H. Golub, Marc Van Barel

Numer. Algorithms, 2006

2005

Numerically robust transfer function modeling from noisy frequency domain data.

Adhemar Bultheel, Marc Van Barel, Yves Rolain, Rik Pintelon

IEEE Trans. Autom. Control., 2005

Convergence of the Isometric Arnoldi Process.

S. Helsen, Arno B. J. Kuijlaars, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2005

An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form.

Marc Van Barel, Raf Vandebril, Nicola Mastronardi

SIAM J. Matrix Anal. Appl., 2005

Orthogonal Rational Functions and Structured Matrices.

Marc Van Barel, Dario Fasino, Luca Gemignani, Nicola Mastronardi

SIAM J. Matrix Anal. Appl., 2005

Orthonormal rational function vectors.

Steven Delvaux, Marc Van Barel

Numerische Mathematik, 2005

A note on the representation and definition of semiseparable matrices.

Raf Vandebril, Marc Van Barel, Nicola Mastronardi

Numer. Linear Algebra Appl., 2005

An implicit <i>QR</i> algorithm for symmetric semiseparable matrices.

Raf Vandebril, Marc Van Barel, Nicola Mastronardi

Numer. Linear Algebra Appl., 2005

A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations.

Gianni Codevico, Georg Heinig, Marc Van Barel

Numer. Linear Algebra Appl., 2005

Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank <i>k</i>.

Marc Van Barel, Ellen Van Camp, Nicola Mastronardi

Numer. Linear Algebra Appl., 2005

Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices.

Nicola Mastronardi, Ellen Van Camp, Marc Van Barel

Numer. Algorithms, 2005

A note on the recursive calculation of dominant singular subspaces.

Nicola Mastronardi, Marc Van Barel, Raf Vandebril

Numer. Algorithms, 2005

2004

Iterative inversion of structured matrices.

Victor Y. Pan, Marc Van Barel, Xinmao Wang, Gianni Codevico

Theor. Comput. Sci., 2004

A <i>QR</i>-method for computing the singular values via semiseparable matrices.

Raf Vandebril, Marc Van Barel, Nicola Mastronardi

Numerische Mathematik, 2004

Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices.

Gianni Codevico, Victor Y. Pan, Marc Van Barel

Numer. Algorithms, 2004

On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices.

Fasma Diele, Nicola Mastronardi, Marc Van Barel, Ellen Van Camp

Proceedings of the Computational Science and Its Applications, 2004

2003

Solving Toeplitz Least Squares Problems by Means of Newton's Iteration.

Dario A. Bini, Gianni Codevico, Marc Van Barel

Numer. Algorithms, 2003

Error Analysis of a Derivative-Free Algorithm for Computing Zeros of Holomorphic Functions.

Peter Kravanja, Tetsuya Sakurai, Marc Van Barel

Computing, 2003

2001

A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems.

Marc Van Barel, Georg Heinig, Peter Kravanja

SIAM J. Matrix Anal. Appl., 2001

Robust rational approximation for identification.

Adhemar Bultheel, Marc Van Barel, Yves Rolain, Johan Schoukens

Proceedings of the 40th IEEE Conference on Decision and Control, 2001

2000

Coupled Vandermonde matrices and the superfast computation of Toeplitz determinants.

Peter Kravanja, Marc Van Barel

Numer. Algorithms, 2000

An Algorithm Based on Orthogonal Polynominal Vectors for Toeplitz Least Squares Problems.

Marc Van Barel, Georg Heinig, Peter Kravanja

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

A Derivative-Free Algorithm for Computing Zeros of Analytic Functions.

Peter Kravanja, Marc Van Barel

Computing, 1999

On the Generically Superfast Computation of Hankel Determinants.

Marc Van Barel, Peter Kravanja

Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1995

Vector Orthogonal Polynomials and Least Squares Approximation.

Adhemar Bultheel, Marc Van Barel

SIAM J. Matrix Anal. Appl., 1995

Formal orthogonal polynomials and Hankel/Toeplitz duality.

Adhemar Bultheel, Marc Van Barel

Numer. Algorithms, 1995

1992

A general module theoretic framework for vector M-Padé and matrix rational interpolation.

Marc Van Barel, Adhemar Bultheel

Numer. Algorithms, 1992

1991

The computation of non-perfect Padé-Hermite approximants.

Marc Van Barel, Adhemar Bultheel

Numer. Algorithms, 1991