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Meerbergen, K., Vandebril, R. (2012). A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. Linear Algebra and Its Applications, 436 (8), 2828-2844.
Vannieuwenhoven, N., Vandebril, R., Meerbergen, K. (2012). A new truncation strategy for the higher-order singular value decomposition. SIAM Journal on Scientific Computing, 34 (2), A1027-A1052.
Vandebril, R., Del Corso, G. (2011). A unification of unitary similarity transforms to compressed representations. Numerische Mathematik, 119 (4), 641-665.
Vandebril, R. (2011). A unitary similarity transform of a normal matrix to complex symmetric form. Applied Mathematics Letters, 24 (2), 160-164.
Vandebril, R. (2011). Chasing bulges or rotations? A metamorphosis of the QR-algorithm. SIAM Journal on Matrix Analysis and Applications, 32 (1), 217-247.
Vandebril, R. (2010). On tridiagonal matrices unitarily equivalent to normal matrices. Linear Algebra and Its Applications, 432 (12), 3079-3099.
Vandebril, R., Del Corso, G. (2010). An implicit multishift QR-algorithm for Hermitian plus low rank matrices. SIAM Journal on Scientific Computing, 32 (4), 2190-2212.
Van Barel, M., Vandebril, R., Van Dooren, P., Frederix, K. (2010). Implicit double shift QR-algorithm for companion matrices. Numerische Mathematik, 116 (2), 177-212.
Beckermann, B., Güttel, S., Vandebril, R. (2010). On the convergence of rational Ritz-values. SIAM Journal on Matrix Analysis and Applications, 31 (4), 1740-1774.
Vandebril, R., Van Barel, M., Mastronardi, N. (2010). A multiple shift QR-step for structured rank matrices. Journal of Computational and Applied Mathematics, 233 (5), 1326-1344.
Vandebril, R., Van Barel, M., Mastronardi, N. (2009). A quasiseparable approach to solve the definite generalized eigenvalue problem. SIAM Journal on Matrix Analysis and Applications, 31 (1), 154-174.
Vandebril, R., Van Barel, M., Mastronardi, N. (2009). A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. Electronic Transactions on Numerical Analysis, 33, 126-150.
Mastronardi, N., Van Barel, M., Vandebril, R. (2009). On the computation of the nullspace of Toeplitz-like matrices. Electronic Transactions on Numerical Analysis, 33, 151-162.
Vanberghen, Y., Vandebril, R., Van Barel, M. (2008). A QZ-method based on semiseparable matrices. Journal of Computational and Applied Mathematics, 218 (2), 482-491.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A fast algorithm for the recursive calculation of dominant singular subspaces. Journal of Computational and Applied Mathematics, 218 (2), 238-246.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Numerical Linear Algebra With Applications, 15 (4), 327-337.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. Linear Algebra and its Applications, 428 (2-3), 479-491.
Vandebril, R., Van Barel, M., Mastronardi, N. (2008). A parallel QR-factorization/solver of quasiseparable matrices. Electronic Transactions on Numerical Analysis, 30, 144-167.
Vandebril, R., Van Barel, M., Mastronardi, N. (2008). Rational QR-iteration without inversion. Numerische Mathematik, 110 (4), 561-575.
Vandebril, R., Mastronardi, N., Van Barel, M. (2007). A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Journal of Computational and Applied Mathematics, 198 (1), 75-97.
Vandebril, R., Mastronardi, N., Van Barel, M. (2007). Solving linear systems with a Levinson-like solver. Electronic Transactions on Numerical Analysis, 26, 243-269.
Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2006). On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Numerische Mathematik, 104 (2), 205-239.
Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2006). On computing the eigenvectors of a class of structured matrices. Journal of Computational and Applied Mathematics, 189 (1-2), 580-591.
Vandebril, R., Van Barel, M. (2006). A note on the nullity theorem. Journal of Computational and Applied Mathematics, 189 (1-2), 179-190.
Vandebril, R., Van Barel, M. (2006). Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoli(Lanczos)-Ritz values. Linear Algebra and Its Applications, 414 (2-3), 435-444.
Vandebril, R., Golub, G., Van Barel, M. (2006). A small note on the scaling of symmetric positive definite semiseparable matrices. Numerical Algorithms, 41 (3), 319-326.
Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2006). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Numerische Mathematik, 102 (4), 709-726.
Vandebril, R., Van Barel, M., Mastronardi, N. (2005). A note on the representation and definition of semiseparable matrices. Numerical Linear Algebra With Applications, 12 (8), 839-858.
Vandebril, R., Van Barel, M., Mastronardi, N. (2005). An implicit QR algorithm for symmetric semiseparable matrices. Numerical Linear Algebra With Applications, 12 (7), 625-658.
Mastronardi, N., Van Barel, M., Vandebril, R. (2005). A note on the recursive calculation of dominant singular subspaces. Numerical Algorithms, 38 (4), 237-242.
Van Barel, M., Vandebril, R., Mastronardi, N. (2005). An orthogonal similarity reduction of a matrix into semiseparable form. SIAM Journal on Matrix Analysis and Applications, 27 (1), 176-197.
Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). A Lanczos-like reduction of symmetric structured matrices to semiseparable form. Calcolo, 42 (3-4), 227-241.
Vandebril, R., Van Barel, M., Golub, G., Mastronardi, N. (2005). A bibliography on semiseparable matrices. Calcolo, 42 (3-4), 249-270.
Vandebril, R., Van Barel, M., Mastronardi, N. (2005). An implicit Q theorem for Hessenberg-like matrices. Mediterranean Journal of Mathematics, 2 (3), 259-275.
Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A QR-method for computing the singular values via semiseparable matrices. Numerische Mathematik, 99 (1), 163-195.
Vandebril, R., Van Barel, M., Mastronardi, N. (2008). Matrix Computations and Semiseparable Matrices. Baltimore: The Johns Hopkins University Press.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). Matrix computations and semiseparable matrices. Baltimore: The Johns Hopkins University Press.
Hendrickx, J., Vandebril, R., Van Barel, M. (2003). A fast direct method for solving the two-dimensional Helmholtz equation, with Robbins boundary conditions. In: Olshevsky V. (Eds.), Contemporary Mathematics, vol. 323 (pp. 187-204) American Mathematical Society, Society for Industrial and Applied Mathematics.
Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). The Lanczos reduction to semiseparable matrices. In Borne, P. (Ed.), Proceedings of the 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation (IMACS 2005). 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation. Paris, France, July 11-15, 2005 (pp. 1-6).
Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the semiseparable and the tridiagonal eigenvalue solvers. In De Moor, B. (Ed.), Motmans, B. (Ed.), Willems, J. (Ed.), Van Dooren, P. (Ed.), Blondel, V. (Ed.), Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004 (pp. 1-10).
Vannieuwenhoven, N., Vandebril, R., Meerbergen, K. (2011). The Sequentially Truncated Higher-Order Singular Value Decomposition. Workshop on Matrix Equations and Tensor Techniques. Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Aachen, Germany, November 21-22, 2011.
Jeuris, B., Vandebril, R., Vandereycken, B. (2011). The Karcher mean: Solving a particular matrix equation through matrix manifold optimization. Workshop on Matrix Equations and Tensor Techniques. Aachen, Germany, 21-22 November 2011.
Vandebril, R., Del Corso, G. (2011). A unification of unitary similarity transforms to compressed representations. International Conference on Scientific Computing. S. Margherita di Pula, Sardinia, italy, 10-13 October, 2011.
Vandebril, R., Watkins, D. (2011). Chasing bulges or rotations? A new family of algorithms admitting linear time QR-steps. International Conference on Scientific Computing. S. Margherita di Pula, Sardinia, italy, 10-13 October, 2011.
Vannieuwenhoven, N., Vandebril, R., Meerbergen, K. (2011). The sequentially truncated multilinear singular value decomposition for tensors. International Linear Algebra Society Conference. Braunschweig, Germany, August 22-26, 2011.
Jeuris, B., Vandebril, R., Vandereycken, B. (2011). The matrix geometric mean and manifold optimization. International Linear Algebra Society Conference. Braunschweig, Germany, 22-26 August 2011.
Watkins, D., Vandebril, R. (2011). The next step in the never ending process of generalizing Francis's implicitly-shifted QR-algorithm. The Eleventh Conference of the International Linear Algebra Society: Pure and Applied Linear Algebra: The new Generation. Braunschweig, Germany, 22-25 August, 2011.
Vandebril, R., Watkins, D. (2011). Chasing bulges or rotations? A new family of algorithms admitting linear time QR-steps. The Eleventh Conference of the International Linear Algebra Society: Pure and Applied Linear Algebra: The new Generation. Braunschweig, Germany, 22-25 August, 2011.
Vandebril, R. (2011). The interplay of rotations, QR-factorizations, and novel similarity transformations. Foundations of Computational Mathematics. Budapest, Hungary, 4-14 July, 2011.
Vandebril, R. (2011). The interplay of rotations and the QR-factorization in inversion, unitary similarity transforms and QR-algorithms. Householder Meeting on Numerical Linear Algebra. Granlibakken, Tahoe City, California, USA, 12-21 June, 2011.
Watkins, D., Vandebril, R. (2011). The next step in the never ending process of generalizing Francis's implicitly-shifted QR-algorithm. Householder Meeting on Numerical Linear Algebra. Granlibakken, Tahoe City, California, USA, 12-21 June, 2011.
Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2010). Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue algorithms. International Congress on Computational and Applied Mathematics. Leuven, 5-9 July 2010.
Vandebril, R., Del Corso, G. (2010). An implicit multishift QR-algorithm for Hermitian plus low rank matrices. International Congress on Computational and Applied Mathematics. Leuven, 5-9 July 2010.
Van Barel, M., Vandebril, R., Van Dooren, P., Frederix, K. (2010). Computing the eigenvalues of a companion matrix. International Workshop on Accurate Solution of Eigenvalue Problems. Berlin, Germany, 28 June - 1 July 2010.
Beckermann, B., Guettel, S., Vandebril, R. (2010). Polynomial extremal problems and logarithmic potential theory in numerical linear algebra. I Jaen Conference on Approximation Theory. University of Jaen, Jaen, Spain, 4-9 July, 2010.
Meerbergen, K., Spence, A., Vandebril, R. (2010). The solution of a class of two-parameter eigenvalue problems and a connection with the implicitly restarted Arnoldi method. International Congress on Computational and Applied Mathematics (ICCAM2010). Leuven, 5-9 July 2010.
Vandebril, R., Del Corso, G. (2010). An implicit multishift QR-algorithm for Hermitian plus low rank matrices. Conference of the International Linear Algebra Society. Pisa, Italy, 21-25 June 2010.
Mastronardi, N., Van Dooren, P., Vandebril, R., Tyrtyshnikov, E., Van Barel, M. (2010). A fast algorithm for computing the null-space of polynomial matrices. Conference of the International Linear Algebra Society. Pisa, Italy, 21-25 June 2010.
Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2010). Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue problems. BIT 50 – Trends in Numerical Computing. Lund, Sweden, 17-20 June 2010.
Vandebril, R., Meerbergen, K. (2010). Inverse subspace iteration for the solution of a class of parameterized eigenvalue problems. The Third International Conference on Structured Matrices and Tensors. Hong Kong, 19-22 January, 2010.
Mastronardi, N., Van Barel, M., Vandebril, R. (2010). A fast algorithm for computing the null-space of polynomial matrices. The Third International Conference on Structured Matrices and Tensors. Hong Kong, 19-22 January, 2010.
Vandebril, R., Del Corso, G. (2009). An implicit multishift QR-algorithm for Hermitian plus low rank matrices. Siam Conference on Applied Linear Algebra. Monterey Bay, California, USA, 26-29 October 2009.
Vandebril, R. (2009). On tridiagonal matrices unitarily equivalent to normal matrices. Siam Conference on Applied Linear Algebra. Monterey Bay, California, USA, 26-29 October 2009.
Güttel, S., Eiermann, M., Ernst, O., Beckermann, B., Vandebril, R. (2009). Rational Krylov methods and approximation of f(A)b. Conference on Scientific Computing. Geneva, Switzerland, 17 July 2009.
Van Barel, M., Vandebril, R., Van Dooren, P. (2009). Computing the eigenvalues of a companion matrix. Visiting Professor. Dipartimento di Matematica e Informatica, University of Cagliari, Italy, 9 July 2009.
Güttel, S., Eiermann, M., Ernst, O., Beckermann, B., Vandebril, R. (2009). Various aspects of rational Krylov methods for matrix functions. Academy of Sciences of the Czech Republic. Prague, Czech Republic, 15 May 2009.
Van Barel, M., Vandebril, R., Van Dooren, P. (2008). A companion matrix eigenvalue solver. Structured Linear Algebra Problems: Analysis, Algorithms, and Applications. Cortona, Italy, 15-19 September 2008.
Vandebril, R. (2008). On computing singular values of normal matrices. Structured Numerical Linear Algebra Problems: Analysis, Algorithms, and Applications. Cortona, Italy, 15-19 September 2008.
Mastronardi, N., Vandebril, R., Van Barel, M. (2008). On computing the null space of polynomial matrices. Structured Linear Algebra Problems: Analysis, Algorithms and Applications. Cortona, Italy, 15-19 September, 2008.
Van Barel, M., Vandebril, R., Mastronardi, N. (2008). A generalization of the QR-algorithm for semiseparable plus diagonal matrices. Householder Symposium. Zeuthen, Germany, 1-6 June 2008.
Vandebril, R., Van Barel, M., Mastronardi, N. (2008). A rational generalization of the QR-algorithm. Householder Symposium. Zeuthen, Germany, 1-6 June 2008.
Vandebril, R. (2008). Structured rank matrices and the Ax= λ Bx problem. Foundations of Computational Mathematics, Workshop on Numerical Linear Algebra. Hong Kong, 20-22 June 2008.
Van Barel, M., Vandebril, R., Mastronardi, N., Van Camp, E., Delvaux, S., Vanberghen, Y., Frederix, K. (2008). Rank structured matrix operations. Patrick Dewilde Workshop on Algebra, Networks, Signal Processing and System Theory. Wassenaar, 21–25 June 2008.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). Computing the null space of block Toeplitz/Hankel matrices. Householder meeting on Numerical Linear Algebra. Zeuthen, Germany, 1-6 June, 2008.
Vandebril, R., Golub, G. (2008). On the Ax equals Lambda Bx problem. Gene Golub Around the World Commemoration. Leuven, Belgium, 29 February, 2008.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). The generalized Schur algorithm for computing the nullspace of polynomial matrices. Patrick Dewilde Workshop on Algebra, Networks, Signal Processing and System Theory. Wassenaar, 21–25 June 2008.
Mastronardi, N., Laudadio, T., Van Barel, M., Vandebril, R. (2008). A new algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. International Congress on Computational and Applied Mathematics. Ghent, Belgium, 07-11 July 2008.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A generalization of the QR-algorithm for semiseparable (plus diagonal) matrices. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.
Van Barel, M., Vandebril, R., Mastronardi, N. (2007). A QH-iteration for Hessenberg-like matrices. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational generalization of the QR-algorithm. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.
Mastronardi, N., Van Barel, M., Vandebril, R. (2007). A fast algorithm for computing the nullspace of some structured matrices. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational QR-iteration. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.
Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). Rank structured matrix operations. The Second International Conference on Structured Matrices. Hong Kong, 8-11 June 2006.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A fast algorithm for recursively computing dominant singular subspaces. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.
Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). An overview of the use of rank structured matrices to solve eigenvalue problems. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.
Vandebril, R., Mastronardi, N., Van Barel, M. (2006). A Levinson Framework. The 13th International Linear Algebra Society Conference. Amsterdam, The Netherlands, July 18-21, 2006.
Vanberghen, Y., Vandebril, R., Van Barel, M. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. International workshop on Numerical Linear Algebra in Signals and Systems. Monopoli (Bari), Italy, September 11-15, 2006.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). The Lanczos reduction to semiseparable matrices. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.
Vandebril, R., Van Barel, M., Mastronardi, N. (2006). Computing the smallest singular value of tridiagonal matrices via semiseparable matrices. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A Schur-Based Algorithm to Compute the Smallest Eigenvalue of Symmetric Positive Definite Toeplitz Matrices. The 2nd International Conference on Structured Matrices. Hong Kong, June 8-11, 2006.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). On computing the eigenvectors of a class of structured matrices. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.
Vanberghen, Y., Van Barel, M., Vandebril, R. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.
Van Barel, M., Vandebril, R., Vanberghen, Y. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.
Van Barel, M., Vandebril, R., Mastronardi, N. (2006). A Schur-Based Algorithm to Compute the Smallest Eigenvalue of Symmetric Positive Definite Toeplitz Matrices. SIAM Annual Meeting. Boston, MA, USA, July 10-14, 2006.
Mastronardi, N., Diele, F., Van Barel, M., Vandebril, R. (2006). A Schur-based algorithm to compute the smallest eigenvalue of symmetric positive definite Toeplitz matrices. The 13th International Linear Algebra Society Conference. Amsterdam, The Netherlands, July 18-21, 2006.
Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). Rank structured matrix operations. Workshop on State-of-the-Art in Scientific and Parallel Computing. Umea, Sweden, June 18-21, 2006.
Mastronardi, N., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). The Lanczos reduction to semiseparable matrices. IMACS World Congress on Scientific Computing, Applied Mathematics and Simulation. Paris, France, 11-15 July, 2005.
Mastronardi, N., Schuermans, M., Van Huffel, S., Van Barel, M., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. The Sixteenth International Workshop on Operator Theory and Applications. University of Connecticut, Storrs, USA, July 24-27, 2005.
Vandebril, R., Mastronardi, N., Van Barel, M. (2005). A Levinson-like solver for semiseparable plus band matrices. The Sixteenth International Workshop on Operator Theory and Applications. University of Connecticut, Storrs, USA, July 24-27, 2005.
Vandebril, R., Van Barel, M., Van Camp, E. (2005). Convergence properties of the reduction to semiseparable and semiseparable plus diagonal form. Householder Symposium on Numerical Linear Algebra. Seven Springs Mountain Resort, Champion, Pennsylvania, USA, May 23-27, 2005.
Mastronardi, N., Van Barel, M., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. SIAM Annual Meeting. New Orleans, LA, USA, July 11-15, 2005.
Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. Householder Symposium on Numerical Linear Algebra. Seven Springs Mountain Resort, Champion, Pennsylvania, USA, May 23-27, 2005.
Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the semiseparable and the tridiagonal eigenvalue solvers. Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004). Leuven, Belgium, 5-9 July, 2004.
Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2004). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Structured Numerical Linear Algebra Problems: Algorithms and Applications. Cortona, Italy, September 19-24, 2004.
Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2004). The QR-algorithm for arrowhead matrices. Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004.
Van Barel, M., Van Camp, E., Vandebril, R., Mastronardi, N. (2004). The QR-algorithm for arrowhead matrices. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.
Mastronardi, N., Van Barel, M., Vandebril, R., Van Camp, E. (2004). On computing the eigenvectors of a class of matrices. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.
Van Barel, M., Van Camp, E., Vandebril, R., Mastronardi, N. (2004). The QR-algorithm for diagonal plus rank-one matrices. V International Workshop on Accurate Solution of Eigenvalue Problems. Arcadeon Conference Center; Hagen, Germany, June 28 - July 1, 2004.
Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the eigenvalue solvers based on semiseparable and tridiagonal matrices. V International Workshop on Accurate Solution of Eigenvalue Problems. Arcadeon Conference Center; Hagen, Germany, June 28 - July 1, 2004.
Vandebril, R., Van Barel, M. (2004). The nullity theorem and some generalizations. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.
Vandebril, R., Mastronardi, N., Van Barel, M. (2003). Solving symmetric eigenvalue problems using semiseparable matrices instead of tridiagonal ones. Cadzand Workshop. Cadzand, Netherlands, 21-26 June, 2003.
Van Barel, M., Vandebril, R., Van Camp, E., Mastronardi, N. (2003). Semiseparable matrices and eigenproblems. Russian Academy of Sciences: Institute of Numerical Mathematics, Steklov Institute of Mathematics, Workshop on nonlinear approximations in numerical analysis. Moscow, Russia, 22-25 June, 2003.
Mastronardi, N., Elden, L., Van Barel, M., Vandebril, R. (2003). On computing the eigendecomposition, rank revealing and the singular value decomposition of dense matrices. Workshop Due giornate di Algebrra Lineare Numerica. Pisa, Italy, 6-7 March, 2003.
Van Barel, M., Vandebril, R., Mastronardi, N. (2003). A similarity reduction of a symmetric matrix to a semiseparable one and the QR algorithm to compute the eigenvalues of this semiseparable matrix. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.
Van Barel, M., Vandebril, R., Mastronardi, N. (2003). Semiseparable matrices and eigenproblems. Fourteenth International Workshop on Operator Theory and Applications. Cagliari, Italy, June 24-27, 2003.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A note on the representation and definition of semiseparable matrices. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.
Vandebril, R., Van Barel, M. (2002). A fast solver for a bivariate homogeneous interpolation problem. Tenth International Congress on Computational and Applied Mathematics. Leuven. Belgium, July 22-26, 2002.
Vandebril, R., Van Barel, M., Mastronardi, N. (2002). A new approach with semiseparable matrices, to find the eigenvalues of symmetric matrices, via the QR algorithm. GAMM Workshop on Numerical Linear Algebra. Bielefeld, Germany, September 14-15, 2002.
Vandebril, R., Hendrickx, J., Van Barel, M. (2001). A new fast method for solving the Helmholtz equation. SIAM Annual Meeting. San Diego, California, USA, July 9-13, 2001.
Vannieuwenhoven, N., Vandebril, R., Meerbergen, K. (2012). A new truncation strategy for the higher-order singular value decomposition. OPTEC Seminar on Tensors, Computing, Optimization and Signal Processing. Leuven, Belgium, May 2-3, 2012.
Vandebril, R. (2009). Structured rank matrices and eigenvalue problems. Séminaire Analyse et Numerique. Laboratoire Painlevé, Lille, France, 8 January, 2009.
Vandebril, R. (2008). Structured rank matrices and eigenvalue problems. Seminar. Kent State University, Kent, USA, 19 February, 2008.
Van Barel, M., Vandebril, R., Mastronardi, N. (2007). A comparison between the semiseparable and the tridiagonal eigenvalue solver. The numerical analysis and PDE seminar. Laboratoire Paul Painlevé, Université Lille 1, France, May 31, 2007.
Vandebril, R. (2006). The nullity theorem and some examples. Stanford University. Stanford, CA, USA, May 15, 2006.
Vandebril, R. (2006). A QR-decomposition for quasiseparables. Stanford University. Stanford, CA, USA, May 19, 2006.
Vandebril, R., Van Barel, M., Mastronardi, N. (2006). A general Levinson framework for solving systems of equations. Stanford University. Stanford, CA, USA, May 25, 2006.
Vandebril, R., Van Barel, M. (2005). Structured rank matrices and their applications in numerical linear algebra. Lezing op uitnodiging van Johan Suykens. Departement Elektrotechniek - ESAT, K.U.Leuven, October 27, 2005.
Vandebril, R., Van Barel, M., Van Camp, E. (2004). The QR-algorithm for semiseparable matrices. Study Day IAP-Scores. Leuven, Belgium, 12 October, 2004.
Van Barel, M., Vandebril, R., Codevico, G., Van Camp, E., Delvaux, S., Mastronardi, N. (2004). Semiseparable matrices and the symmetric eigenvalue problem. IUAP Studiedag. Gent, Belgium, June 1, 2004.
Vandebril, R., Van Barel, M., Van Camp, E., Mastronardi, N. (2004). On the convergence properties of an orthogonal similarity reduction to semiseparable (plus diagonal) form. Departemental seminar. UC Berkeley, October 20, 2004.
Vandebril, R., Van Barel, M., Van Camp, E., Mastronardi, N. (2004). On the convergence properties of an orthogonal similarity reduction to semiseparable (plus diagonal) form. Departemental seminar. Stanford University, November 15, 2004.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). Solving eigenvalue problems using semiseparable instead of tridiagonal matrices. Seminar. Leuven, Belgium, 27 November, 2003.
Mastronardi, N., Vandebril, R., Van Barel, M. (2003). On computing the eigendecomposition of dense matrices. University of Linkoping. Linkoping, Sweden, 28 February, 2003.
Vandebril, R., Van Barel, M., Mastronardi, N. (2002). Semiseparable matrices and the SVD. PhD-Days. Leuven, Belgium, 11 December, 2002.
Vandebril, R., Van Barel, M. (2002). Solving Block Toeplitz Toeplitz Block systems of equations. Seminar. Leuven, Belgium, 22 May, 2002.
Vandebril, R., Van Barel, M., Mastronardi, N. (2002). A new algorithm for computing the singular value decomposition via semiseparable matrices. IAP Dynamical Systems and Control: Study day. Louvain-la-Neuve, Belgium, November 26, 2002.
Vandebril, R., Van Barel, M., Mourrain, B., Ruatta, O. (2001). A new approach on multivariate interpolation. Departmental seminar. INRIA Sophia Antipolis (France), November 11, 2001.
Vandebril, R. (2006). Book review: 'Inverse eigenvalue probems: Theory, algorithms, and applications'. Mathematics of Computation, 75 (254), 1029-1031.
Vandebril, R., Van Barel, M. (sup.) (2004). Semiparable matrices and the symmetric eigenvalue problem.
Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2011). Homotopy algorithm for the symmetric diagonal-plus-semiseparable eigenvalue problem. TW Reports, TW595, 26 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vannieuwenhoven, N., Vandebril, R., Meerbergen, K. (2011). On the truncated multilinear singular value decomposition. TW Reports, TW589, 34 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vandebril, R. (2010). QR-type iterations for eigenvalue computations based on factorizations of unitary matrices in rotations. TW Reports, TW577, 23 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vandebril, R., Del Corso, G. (2010). A unification of unitary similarity transforms to compressed representations. Technical Report, TR-10-14. Pisa, Italy: Dipartimento Informatica, Univ. Pisa.
Meerbergen, K., Vandebril, R. (2010). A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. TW Reports, TW565, 14 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vandebril, R., Del Corso, G. (2009). An implicit multishift QR-algorithm for Hermitian plus low rank matrices. Technical Report, TR-09-06, 1-30 pp. Pisa, Italy: Dipartimento Informatica, Univ. Pisa.
Van Barel, M., Vandebril, R., Van Dooren, P. (2008). Implicit double shift QR-algorithm for companion matrices. TW Reports, TW532, 29 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vandebril, R. (2008). On tridiagonal matrices unitarily equivalent to normal matrices. TW Reports, TW529, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Mastronardi, N., Van Barel, M., Vandebril, R. (2008). On the computation of the nullspace of Toeplitz-like matrices. TW Reports, TW516, 12 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. TW Reports, TW507, 29 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational QR-iteration. TW Reports, TW504, 19 pp: K.U.Leuven, Department of Computer Science.
Mastronardi, N., Van Barel, M., Vandebril, R. (2007). A fast algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. TW Reports, TW493, 14 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A Multiple Shift QR-step for Structured Rank Matrices. TW Reports, TW489, 22 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Golub, G., Van Barel, M. (2007). On solving the definite tridiagonal symmetric generalized eigenvalue problem. TW Reports, TW485, 14 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M., Mastronardi, N. (2006). A parallel QR-factorization/solver of structured rank matrices. TW Reports, TW474, 22 pp: K.U.Leuven, Department of Computer Science.
Vanberghen, Y., Vandebril, R., Van Barel, M. (2006). A QZ-algorithm for semiseparable matrices. TW Reports, TW471, 17 pp: K.U.Leuven, Department of Computer Science.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A fast algorithm for the recursive calculation of dominant singular subspaces. TW Reports, TW468, 15 pp: K.U.Leuven, Department of Computer Science.
Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A Schur-based algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. TW Reports, TW461, 14 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2005). On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. TW Reports, TW436, 29 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Mastronardi, N., Van Barel, M. (2005). Solving linear systems with a Levinson-like solver. TW Reports, TW435, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Mastronardi, N., Van Barel, M., Vandebril, R. (2005). A fast algorithm for subspace tracking. TW Reports, TW430, 9 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Mastronardi, N., Van Barel, M. (2005). A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. TW Reports, TW427, 24 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Mastronardi, N., Vandebril, R., Van Barel, M. (2005). A Levinson-like algorithm for symmetric positive definite semiseparable plus diagonal matrices. TW Reports, TW423, 13 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). A Lanczos-like reduction of symmetric structured matrices into semiseparable ones. TW Reports, TW420, 10 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Mastronardi, N., Van Barel, M., Vandebril, R. (2005). Computing the rank revealing factorization of symmetric matrices by the semiseparable reduction. TW Reports, TW418, 14 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Golub, G., Mastronardi, N. (2004). A bibliography on semiseparable matrices. TW Reports, TW412, 16 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Golub, G., Van Barel, M. (2004). A small note on the scaling of symmetric positive definite semiseparable matrices, 6 pp: Stanford's Scientific Computing and Computational Mathematics Program (SCCM).
Mastronardi, N., Van Camp, E., Van Barel, M., Vandebril, R. (2004). On computing the eigenvectors of a class of structured matrices. TW Reports, TW407, 15 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2004). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. TW Reports, TW398, 16 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M. (2004). Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Ritz values. TW Reports, TW396, 8 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M. (2004). A short note on the nullity theorem. TW Reports, TW397, 12 pp: K.U.Leuven, Department of Computer Science.
Mastronardi, N., Van Barel, M., Vandebril, R. (2004). A note on the recursive calculation of dominant singular subspaces. TW Reports, TW393, 6 pp: K.U.Leuven, Department of Computer Science.
Vandebril, R., Van Barel, M., Mastronardi, N. (2004). An implicit Q-theorem for Hessenberg-like matrices. TW Reports, TW394, 22 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A note on the representation and definition of semiseparable matrices. TW Reports, TW368, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A QR-method for computing the singular values via semiseparable matrices. TW Reports, TW366, 30 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). An implicit QR algorithm for semiseparable matrices, to compute the eigendecomposition of symmetric matrices. TW Reports, TW367, 31 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Van Barel, M., Vandebril, R., Mastronardi, N. (2003). The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form. TW Reports, TW360, 28 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Mastronardi, N. (2003). An orthogonal similarity reduction of a matrix to semiseparable form. TW Reports, TW355, 22 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M. (2002). A fast solver for a bivariate polynomial vector homogeneous interpolation problem. TW Reports, TW342, 23 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Vandebril, R., Van Barel, M., Ruatta, O., Mourrain, B. (2002). A new algorithm for solving multivariate polynomial problems by means of interpolation. TW Reports, TW343, 26 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Hendrickx, J., Vandebril, R., Van Barel, M. (2001). A fast method for solving the two-dimensional Helmholtz equation with Robbins boundary conditions. TW Reports, TW326, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.
Van Barel, M., Vandebril, R. (2004). Orthogonal similarity reduction of a symmetric matrix into semiseparable form and it\'s properties. Semiseparable matrices and their use in numerical linear algebra, 1.
Van Barel, M., Vandebril, R. (2004). Implicit QR-algorithms for tridiagonal and semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.
Van Barel, M., Vandebril, R. (2004). Rational Krylov subspaces, computing singular values using semiseparable matrices, applications and generalizations of semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.
Van Barel, M., Vandebril, R. (2004). The representation of semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.
Van Barel, M., Vandebril, R. (2004). The nullity theorem and some generalizations. Semiseparable matrices and their use in numerical linear algebra, 1.
Two OPTEC professors have been awarded three "Gouden Krijtjes", the yearly teaching awards given by the organization of engineering students (vtk). Prof. Lombaert was awarded the prize for the best course in civil engineering, and Prof. Diehl the prizes for the best professor and the best course in mathematical engineering (where he teaches numerical optimization). They received these awards at the yearly "proffentap" where experienced students taught them how to draft beer professionally.
