Raf Vandebril

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 25

Top Topics

Eigenvalue Problems

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Simon Jacobsson, Raf Vandebril, Joeri Van der Veken, Nick Vannieuwenhoven
Approximating maps into manifolds with lower curvature bounds. CoRR (2024)
Thijs Steel, Raf Vandebril, Julien Langou
A new deflation criterion for the QZ algorithm. Numer. Linear Algebra Appl. 31 (1) (2024)
Thijs Steel, Raf Vandebril
Parallel Two-Stage Reduction to Hessenberg-Triangular Form. SIAM J. Sci. Comput. 46 (2) (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)
Anna Concas, Caterina Fenu, Giuseppe Rodriguez, Raf Vandebril
The seriation problem in the presence of a double Fiedler value. Numer. Algorithms 92 (1) (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)
Thijs Steel, Raf Vandebril
Parallel two-stage reduction to Hessenberg-triangular form. CoRR (2023)
Anna Concas, Caterina Fenu, Giuseppe Rodriguez, Raf Vandebril
The seriation problem in the presence of a double Fiedler value. CoRR (2022)
Thijs Steel, Raf Vandebril, Julien Langou
A new deflation criterion for the QZ algorithm. 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)
Thijs Steel, Daan Camps, Karl Meerbergen, Raf Vandebril
A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation. SIAM J. Matrix Anal. Appl. 42 (2) (2021)
Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
Generation of orthogonal rational functions by procedures for structured matrices. CoRR (2021)
Daan Camps, Nicola Mastronardi, Raf Vandebril, Paul Van Dooren
Swapping 2 × 2 blocks in the Schur and generalized Schur form. J. Comput. Appl. Math. 373 (2020)
Thomas Mach, Raf Vandebril, David S. Watkins
Pole-swapping algorithms for alternating and palindromic eigenvalue problems. CoRR (2019)
Jared Lee Aurentz, Thomas Mach, Leonardo Robol, Raf Vandebril, David S. Watkins
Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials. Math. Comput. 88 (315) (2019)
Gianna M. Del Corso, Federico Poloni, Leonardo Robol, Raf Vandebril
When is a matrix unitary or Hermitian plus low rank? Numer. Linear Algebra Appl. 26 (6) (2019)
Daan Camps, Thomas Mach, Raf Vandebril, David S. Watkins
On pole-swapping algorithms for the eigenvalue problem. CoRR (2019)
Daan Camps, Karl Meerbergen, Raf Vandebril
A Rational QZ Method. SIAM J. Matrix Anal. Appl. 40 (3) (2019)
Vanni Noferini, Leonardo Robol, Raf Vandebril
Structured backward errors in linearizations. CoRR (2019)
Bernhard Beckermann, Clara Mertens, Raf Vandebril
On an Economic Arnoldi Method for BML-Matrices. SIAM J. Matrix Anal. Appl. 39 (2) (2018)
Jared Lee Aurentz, Thomas Mach, Leonardo Robol, Raf Vandebril, David S. Watkins
Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Leonardo Robol, Raf Vandebril, Paul Van Dooren
A Framework for Structured Linearizations of Matrix Polynomials in Various Bases. SIAM J. Matrix Anal. Appl. 38 (1) (2017)
Ben Jeuris, Raf Vandebril
The Kähler Mean of Block-Toeplitz Matrices with Toeplitz Structured Blocks. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril
Adaptive cross approximation for ill-posed problems. J. Comput. Appl. Math. 303 (2016)
Nick Vannieuwenhoven, Karl Meerbergen, Raf Vandebril
Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking. SIAM J. Sci. Comput. 37 (3) (2015)
Clara Mertens, Raf Vandebril
Short recurrences for computing extended Krylov bases for Hermitian and unitary matrices. Numerische Mathematik 131 (2) (2015)
Jared Lee Aurentz, Thomas Mach, Raf Vandebril, David S. Watkins
Fast and Backward Stable Computation of Roots of Polynomials. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Nick Vannieuwenhoven, Johannes Nicaise, Raf Vandebril, Karl Meerbergen
On Generic Nonexistence of the Schmidt-Eckart-Young Decomposition for Complex Tensors. SIAM J. Matrix Anal. Appl. 35 (3) (2014)
Micol Ferranti, Thanh Hieu Le, Raf Vandebril
A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices. Numer. Algorithms 67 (1) (2014)
Clara Mertens, Raf Vandebril
Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices. SIAM J. Numer. Anal. 52 (6) (2014)
Thomas Mach, Raf Vandebril
On Deflations in Extended QR Algorithms. SIAM J. Matrix Anal. Appl. 35 (2) (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)
Micol Ferranti, Raf Vandebril
Computing eigenvalues of normal matrices via complex symmetric matrices. J. Comput. Appl. Math. 259 (2014)
Pooya Zakeri, Ben Jeuris, Raf Vandebril, Yves Moreau
Protein fold recognition using geometric kernel data fusion. Bioinform. 30 (13) (2014)
Thomas Mach, Marc Van Barel, Raf Vandebril
Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. J. Comput. Appl. Math. 272 (2014)
Ben Jeuris, Raf Vandebril
Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations. GSI (2013)
Jared Lee Aurentz, Raf Vandebril, David S. Watkins
Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix. SIAM J. Sci. Comput. 35 (1) (2013)
Nick Vannieuwenhoven, Raf Vandebril, Karl Meerbergen
A New Truncation Strategy for the Higher-Order Singular Value Decomposition. SIAM J. Sci. Comput. 34 (2) (2012)
Raf Vandebril, David S. Watkins
A Generalization of the Multishift QR Algorithm. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
Raf Vandebril
A unitary similarity transform of a normal matrix to complex symmetric form. Appl. Math. Lett. 24 (2) (2011)
Raf Vandebril, Gianna M. Del Corso
A unification of unitary similarity transforms to compressed representations. Numerische Mathematik 119 (4) (2011)
Raf Vandebril
Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm. SIAM J. Matrix Anal. Appl. 32 (1) (2011)
Bernhard Beckermann, Stefan Güttel, Raf Vandebril
On the Convergence of Rational Ritz Values. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Raf Vandebril, Gianna M. Del Corso
An Implicit Multishift QR-Algorithm for Hermitian Plus Low Rank Matrices. SIAM J. Sci. Comput. 32 (4) (2010)
Marc Van Barel, Raf Vandebril, Paul Van Dooren, Katrijn Frederix
-algorithm for companion matrices. Numerische Mathematik 116 (2) (2010)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
A multiple shift QR-step for structured rank matrices. J. Comput. Appl. Math. 233 (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)
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)
Raf Vandebril
Inverse eigenvalue probems: Theory, algorithms, and applications. Math. Comput. 75 (254) (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)
Raf Vandebril, Marc Van Barel, Nicola Mastronardi
algorithm for symmetric semiseparable matrices. Numer. Linear Algebra Appl. 12 (7) (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)
Nicola Mastronardi, Marc Van Barel, Raf Vandebril
A note on the recursive calculation of dominant singular subspaces. Numer. Algorithms 38 (4) (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)