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

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

An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form. - Marc Van Barel; Raf Vandebril; Nicola Mastronardi (SIAM J. Matrix Anal. Appl., 2005)

Inverse eigenvalue probems: Theory, algorithms, and applications. - Raf Vandebril (Math. Comput., 2006)

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)

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 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)

A multiple shift QR-step for structured rank matrices. - Raf Vandebril; Marc Van Barel; Nicola Mastronardi (J. Comput. Appl. Math., 2010)

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

On the Convergence of Rational Ritz Values. - Bernhard Beckermann; Stefan Güttel; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2010)

An Implicit Multishift QR-Algorithm for Hermitian Plus Low Rank Matrices. - Raf Vandebril; Gianna M. Del Corso (SIAM J. Sci. Comput., 2010)

A unitary similarity transform of a normal matrix to complex symmetric form. - Raf Vandebril (Appl. Math. Lett., 2011)

A unification of unitary similarity transforms to compressed representations. - Raf Vandebril; Gianna M. Del Corso (Numerische Mathematik, 2011)

Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm. - Raf Vandebril (SIAM J. Matrix Anal. Appl., 2011)

A Generalization of the Multishift QR Algorithm. - Raf Vandebril; David S. Watkins (SIAM J. Matrix Anal. Appl., 2012)

A New Truncation Strategy for the Higher-Order Singular Value Decomposition. - Nick Vannieuwenhoven; Raf Vandebril; Karl Meerbergen (SIAM J. Sci. Comput., 2012)

Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations. - Ben Jeuris; Raf Vandebril (GSI, 2013)

Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix. - Jared Lee Aurentz; Raf Vandebril; David S. Watkins (SIAM J. Sci. Comput., 2013)

Protein fold recognition using geometric kernel data fusion. - Pooya Zakeri; Ben Jeuris; Raf Vandebril; Yves Moreau (Bioinform., 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)

Computing eigenvalues of normal matrices via complex symmetric matrices. - Micol Ferranti; Raf Vandebril (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)

A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices. - Micol Ferranti; Thanh Hieu Le; Raf Vandebril (Numer. Algorithms, 2014)

On Deflations in Extended QR Algorithms. - Thomas Mach; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2014)

On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors. - Nick Vannieuwenhoven; Johannes Nicaise; Raf Vandebril; Karl Meerbergen (SIAM J. Matrix Anal. Appl., 2014)

Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices. - Clara Mertens; Raf Vandebril (SIAM J. Numer. Anal., 2014)

Short recurrences for computing extended Krylov bases for Hermitian and unitary matrices. - Clara Mertens; Raf Vandebril (Numerische Mathematik, 2015)

Fast and Backward Stable Computation of Roots of Polynomials. - Jared Lee Aurentz; Thomas Mach; Raf Vandebril; David S. Watkins (SIAM J. Matrix Anal. Appl., 2015)

Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking. - Nick Vannieuwenhoven; Karl Meerbergen; Raf Vandebril (SIAM J. Sci. Comput., 2015)

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

The Kähler Mean of Block-Toeplitz Matrices with Toeplitz Structured Blocks. - Ben Jeuris; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2016)

A Framework for Structured Linearizations of Matrix Polynomials in Various Bases. - Leonardo Robol; Raf Vandebril; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2017)

Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil. - Jared Lee Aurentz; Thomas Mach; Leonardo Robol; Raf Vandebril; David S. Watkins (SIAM J. Matrix Anal. Appl., 2018)

On an Economic Arnoldi Method for BML-Matrices. - Bernhard Beckermann; Clara Mertens; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2018)

On pole-swapping algorithms for the eigenvalue problem. - Daan Camps; Thomas Mach; Raf Vandebril; David S. Watkins (CoRR, 2019)

Pole-swapping algorithms for alternating and palindromic eigenvalue problems. - Thomas Mach; Raf Vandebril; David S. Watkins (CoRR, 2019)

Structured backward errors in linearizations. - Vanni Noferini; Leonardo Robol; Raf Vandebril (CoRR, 2019)

Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials. - Jared Lee Aurentz; Thomas Mach; Leonardo Robol; Raf Vandebril; David S. Watkins (Math. Comput., 2019)

When is a matrix unitary or Hermitian plus low rank? - Gianna M. Del Corso; Federico Poloni; Leonardo Robol; Raf Vandebril (Numer. Linear Algebra Appl., 2019)

A Rational QZ Method. - Daan Camps; Karl Meerbergen; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2019)

Swapping 2 × 2 blocks in the Schur and generalized Schur form. - Daan Camps; Nicola Mastronardi; Raf Vandebril; Paul Van Dooren (J. Comput. Appl. Math., 2020)

A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation. - Thijs Steel; Daan Camps; Karl Meerbergen; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2021)

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

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)

The seriation problem in the presence of a double Fiedler value. - Anna Concas; Caterina Fenu; Giuseppe Rodriguez; Raf Vandebril (Numer. Algorithms, 2023)

Approximating maps into manifolds with lower curvature bounds. - Simon Jacobsson; Raf Vandebril; Joeri Van der Veken; Nick Vannieuwenhoven (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)

The RQR algorithm. - Daan Camps; Thomas Mach; Raf Vandebril; David S. Watkins (CoRR, 2024)

Parallel Two-Stage Reduction to Hessenberg-Triangular Form. - Thijs Steel; Raf Vandebril (SIAM J. Sci. Comput., 2024)

A new deflation criterion for the QZ algorithm. - Thijs Steel; Raf Vandebril; Julien Langou (Numer. Linear Algebra Appl., 2024)

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

Algorithms for Parallel Shared-Memory Sparse Matrix-Vector Multiplication on Unstructured Matrices. - Kobe Bergmans; Karl Meerbergen; Raf Vandebril (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 shifted Laplace rational filter for large-scale eigenvalue problems. - Biyi Wang; Karl Meerbergen; Raf Vandebril; Hengbin An; Zeyao Mo (CoRR, 2025)

Manifold-valued function approximation from multiple tangent spaces. - Hang Wang; Raf Vandebril; Joeri Van der Veken; Nick Vannieuwenhoven (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)