The computation of non-perfect Padé-Hermite approximants. - Marc Van Barel; Adhemar Bultheel (Numer. Algorithms, 1991)

A general module theoretic framework for vector M-Padé and matrix rational interpolation. - Marc Van Barel; Adhemar Bultheel (Numer. Algorithms, 1992)

Formal orthogonal polynomials and Hankel/Toeplitz duality. - Adhemar Bultheel; Marc Van Barel (Numer. Algorithms, 1995)

Vector Orthogonal Polynomials and Least Squares Approximation. - Adhemar Bultheel; Marc Van Barel (SIAM J. Matrix Anal. Appl., 1995)

On the Generically Superfast Computation of Hankel Determinants. - Marc Van Barel; Peter Kravanja (LSSC, 1999)

A Derivative-Free Algorithm for Computing Zeros of Analytic Functions. - Peter Kravanja; Marc Van Barel (Computing, 1999)

An Algorithm Based on Orthogonal Polynominal Vectors for Toeplitz Least Squares Problems. - Marc Van Barel; Georg Heinig; Peter Kravanja (NAA, 2000)

Coupled Vandermonde matrices and the superfast computation of Toeplitz determinants. - Peter Kravanja; Marc Van Barel (Numer. Algorithms, 2000)

Robust rational approximation for identification. - Adhemar Bultheel; Marc Van Barel; Yves Rolain; Johan Schoukens (CDC, 2001)

A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems. - Marc Van Barel; Georg Heinig; Peter Kravanja (SIAM J. Matrix Anal. Appl., 2001)

Error Analysis of a Derivative-Free Algorithm for Computing Zeros of Holomorphic Functions. - Peter Kravanja; Tetsuya Sakurai; Marc Van Barel (Computing, 2003)

Solving Toeplitz Least Squares Problems by Means of Newton's Iteration. - Dario A. Bini; Gianni Codevico; Marc Van Barel (Numer. Algorithms, 2003)

On Computing the Spectral Decomposition of Symmetric Arrowhead Matrices. - Fasma Diele; Nicola Mastronardi; Marc Van Barel; Ellen Van Camp (ICCSA (2), 2004)

Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices. - Gianni Codevico; Victor Y. Pan; Marc Van Barel (Numer. Algorithms, 2004)

A QR-method for computing the singular values via semiseparable matrices. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (Numerische Mathematik, 2004)

Iterative inversion of structured matrices. - Victor Y. Pan; Marc Van Barel; Xinmao Wang; Gianni Codevico (Theor. Comput. Sci., 2004)

A note on the recursive calculation of dominant singular subspaces. - Nicola Mastronardi; Marc Van Barel; Raf Vandebril (Numer. Algorithms, 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)

Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank k. - Marc Van Barel; Ellen Van Camp; 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)

An implicit QR algorithm for symmetric semiseparable matrices. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (Numer. Linear Algebra Appl., 2005)

A note on the representation and definition of semiseparable matrices. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (Numer. Linear Algebra Appl., 2005)

Orthonormal rational function vectors. - Steven Delvaux; Marc Van Barel (Numerische Mathematik, 2005)

Orthogonal Rational Functions and Structured Matrices. - Marc Van Barel; Dario Fasino; Luca Gemignani; Nicola Mastronardi (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)

Convergence of the Isometric Arnoldi Process. - S. Helsen; Arno B. J. Kuijlaars; Marc Van Barel (SIAM J. Matrix Anal. Appl., 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)

A small note on the scaling of symmetric positive definite semiseparable matrices. - Raf Vandebril; Gene H. Golub; Marc Van Barel (Numer. Algorithms, 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)

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)

Structures preserved by matrix inversion. - Steven Delvaux; Marc Van Barel (SIAM J. Matrix Anal. Appl., 2006)

Structures Preserved by Schur Complementation. - Steven Delvaux; Marc Van Barel (SIAM J. Matrix Anal. Appl., 2006)

A Hessenberg Reduction Algorithm for Rank Structured Matrices. - Steven Delvaux; Marc Van Barel (SIAM J. Matrix Anal. Appl., 2007)

A Givens-Weight Representation for Rank Structured Matrices. - Steven Delvaux; Marc Van Barel (SIAM J. Matrix Anal. Appl., 2007)

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)

Rational QR-iteration without inversion. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (Numerische Mathematik, 2008)

A QR-Based Solver for Rank Structured Matrices. - Steven Delvaux; Marc Van Barel (SIAM J. Matrix Anal. Appl., 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 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)

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)

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)

Orthogonal Rational Functions with real coefficients and semiseparable matrices. - Adhemar Bultheel; Patrick Van Gucht; 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)

A numerical solution of the constrained weighted energy problem. - Andrey Chesnokov; Karl Deckers; Marc Van Barel (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 multiple shift QR-step for structured rank matrices. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (J. Comput. Appl. Math., 2010)

A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. - Marc Van Barel; Andrey Chesnokov (Numer. Algorithms, 2010)

Implicit double shift QR-algorithm for companion matrices. - Marc Van Barel; Raf Vandebril; Paul Van Dooren; Katrijn Frederix (Numerische Mathematik, 2010)

When is the Uvarov transformation positive definite? - Matthias Humet; Marc Van Barel (Numer. Algorithms, 2012)

Unconstrained Optimization of Real Functions in Complex Variables. - Laurent Sorber; Marc Van Barel; Lieven De Lathauwer (SIAM J. Optim., 2012)

Sparse spectral clustering method based on the incomplete Cholesky decomposition. - Katrijn Frederix; Marc Van Barel (J. Comput. Appl. Math., 2013)

An algorithm for computing the eigenvalues of block companion matrices. - Katrijn Frederix; Steven Delvaux; Marc Van Barel (Numer. Algorithms, 2013)

Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-(Lr, Lr, 1) Terms, and a New Generalization. - Laurent Sorber; Marc Van Barel; Lieven De Lathauwer (SIAM J. Optim., 2013)

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)

Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. - Matthias Humet; Marc Van Barel (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)

Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. - Thomas Mach; Marc Van Barel; Raf Vandebril (J. Comput. Appl. Math., 2014)

Numerical Solution of Bivariate and Polyanalytic Polynomial Systems. - Laurent Sorber; Marc Van Barel; Lieven De Lathauwer (SIAM J. Numer. Anal., 2014)

Blind signal separation of rational functions using Löwner-based tensorization. - Otto Debals; Marc Van Barel; Lieven De Lathauwer (ICASSP, 2015)

Structured Data Fusion. - Laurent Sorber; Marc Van Barel; Lieven De Lathauwer (IEEE J. Sel. Top. Signal Process., 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)

Exact line and plane search for tensor optimization. - Laurent Sorber; Ignat Domanov; Marc Van Barel; Lieven De Lathauwer (Comput. Optim. Appl., 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)

Nonlinear eigenvalue problems and contour integrals. - Marc Van Barel; Peter Kravanja (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)

Adaptive cross approximation for ill-posed problems. - Thomas Mach; Lothar Reichel; Marc Van Barel; Raf Vandebril (J. Comput. Appl. Math., 2016)

Efficient evolutionary spectral clustering. - Rocco Langone; Marc Van Barel; Johan A. K. Suykens (Pattern Recognit. Lett., 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)

Löwner-Based Blind Signal Separation of Rational Functions With Applications. - Otto Debals; Marc Van Barel; Lieven De Lathauwer (IEEE Trans. Signal Process., 2016)

Generalized de la Vallée Poussin approximations on [-1, 1]. - Woula Themistoclakis; Marc Van Barel (Numer. Algorithms, 2017)

Nonnegative Matrix Factorization Using Nonnegative Polynomial Approximations. - Otto Debals; Marc Van Barel; Lieven De Lathauwer (IEEE Signal Process. Lett., 2017)

Truncated normal forms for solving polynomial systems. - Simon Telen; Bernard Mourrain; Marc Van Barel (ACM Commun. Comput. Algebra, 2018)

Solving Polynomial Systems Efficiently and Accurately. - Bernard Mourrain; Simon Telen; Marc Van Barel (CoRR, 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 via Truncated Normal Forms. - Simon Telen; Bernard Mourrain; Marc Van Barel (SIAM J. Matrix Anal. Appl., 2018)

Uniform approximation on the sphere by least squares polynomials. - Woula Themistoclakis; Marc Van Barel (Numer. Algorithms, 2019)

Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. - Simon Telen; Marc Van Barel; Jan Verschelde (CASC, 2020)

Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder. - Françoise Tisseur; Marc Van Barel (CoRR, 2020)

A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation. - Simon Telen; Marc Van Barel; Jan Verschelde (SIAM J. Sci. Comput., 2020)

Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms. - Bernard Mourrain; Simon Telen; Marc Van Barel (J. Symb. Comput., 2021)

Backward error measures for roots of polynomials. - Simon Telen; Sascha Timme; Marc Van Barel (Numer. Algorithms, 2021)

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)

Generation of orthogonal rational functions by procedures for structured matrices. - Niel Van Buggenhout; Marc Van Barel; Raf Vandebril (Numer. Algorithms, 2022)

Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format. - Charlotte Vermeylen; Guillaume Olikier; Pierre-Antoine Absil; Marc Van Barel (EUSIPCO, 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 (GSI (1), 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)

Stability Improvements for Fast Matrix Multiplication. - Charlotte Vermeylen; Marc Van Barel (CoRR, 2023)

Adaptive cross approximation for Tikhonov regularization in general form. - Thomas Mach; Lothar Reichel; Marc Van Barel (Numer. Algorithms, 2023)

A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces. - Woula Themistoclakis; Marc Van Barel (Appl. Math. Lett., 2024)

Generalized cyclic symmetric decompositions for the matrix multiplication tensor. - Charlotte Vermeylen; Marc Van Barel (CoRR, 2024)

An Arnoldi-based approach to polynomial and rational least squares problems. - Amin Faghih; Marc Van Barel; Niel Van Buggenhout; Raf Vandebril (CoRR, 2024)

Rational QZ steps with perfect shifts. - Nicola Mastronardi; Marc Van Barel; Raf Vandebril; Paul Van Dooren (Numer. Algorithms, 2024)

A generalization of Floater-Hormann interpolants. - Woula Themistoclakis; Marc Van Barel (J. Comput. Appl. Math., 2024)

A Riemannian Rank-Adaptive Method for Higher-Order Tensor Completion in the Tensor-Train Format. - Charlotte Vermeylen; Marc Van Barel (Numer. Linear Algebra Appl., 2025)

A free parameter depending family of polynomial wavelets on a compact interval. - Woula Themistoclakis; Marc Van Barel (CoRR, 2025)

A Parametric Family of Polynomial Wavelets for Signal and Image Processing. - Mariantonia Cotronei; Woula Themistoclakis; Marc Van Barel (CoRR, 2025)

Constructing Sobolev orthonormal rational functions via an updating procedure. - Amin Faghih; Marc Van Barel; Niel Van Buggenhout; Raf Vandebril (CoRR, 2025)

On computing the zeros of a class of Sobolev orthogonal polynomials. - Nicola Mastronardi; Marc Van Barel; Raf Vandebril; Paul Van Dooren (CoRR, 2025)

A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems. - Amin Faghih; Marc Van Barel; Niel Van Buggenhout; Raf Vandebril (Numer. Linear Algebra Appl., 2025)

Krylov and core transformation algorithms for an inverse eigenvalue problem to compute recurrences of multiple orthogonal polynomials. - Amin Faghih; Michele Rinelli; Marc Van Barel; Raf Vandebril; Robbe Vermeiren (CoRR, 2025)