Publications of Raf Vandebril

period 2008 - 2013

Articles in internationally reviewed journals

23 references
  • Aurentz, Jared L.; Vandebril, Raf; Watkins, David S.. Fast computation of the zeros of a polynomial via factorization of the companion matrix, SIAM Journal on Scientific Computing, volume 35, issue 1, pages A255-A269, 2013 DOI BibTeX
  • Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart. A survey and comparison of contemporary algorithms for computing the matrix geometric mean, Electronic Transactions on Numerical Analysis, volume 39, pages 379-402, 2012 BibTeX
  • Meerbergen, Karl; Vandebril, Raf. A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line, Linear Algebra and Its Applications, volume 436, issue 8, pages 2828-2844, 2012 DOI BibTeX
  • Vandebril, Raf; Watkins, David S.. A generalization of the multishift QR-algorithm, SIAM Journal on Matrix Analysis and Applications, volume 33, issue 3, pages 759-779, 2012 DOI BibTeX
  • Vandebril, Raf; Watkins, David S.. An extension of the QZ algorithm beyond the Hessenberg-upper triangular pencil, Electronic Transactions on Numerical Analysis, 2012 (Accepted) BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. A new truncation strategy for the higher-order singular value decomposition, SIAM Journal on Scientific Computing, volume 34, issue 2, pages A1027-A1052, 2012 BibTeX
  • Vandebril, Raf. A unitary similarity transform of a normal matrix to complex symmetric form, Applied Mathematics Letters, volume 24, issue 2, pages 160-164, 2011 DOI BibTeX
  • Vandebril, Raf. Chasing bulges or rotations? A metamorphosis of the QR-algorithm, SIAM Journal on Matrix Analysis and Applications, volume 32, issue 1, pages 217-247, 2011 BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. A unification of unitary similarity transforms to compressed representations, Numerische Mathematik, volume 119, issue 4, pages 641-665, 2011 DOI BibTeX
  • Beckermann, Bernd; Güttel, Stefan; Vandebril, Raf. On the convergence of rational Ritz-values, SIAM Journal on Matrix Analysis and Applications, volume 31, issue 4, pages 1740-1774, 2010 DOI BibTeX
  • Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn. Implicit double shift QR-algorithm for companion matrices, Numerische Mathematik, volume 116, issue 2, pages 177-212, 2010 BibTeX
  • Vandebril, Raf. On tridiagonal matrices unitarily equivalent to normal matrices, Linear Algebra and Its Applications, volume 432, issue 12, pages 3079-3099, 2010 DOI BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. An implicit multishift QR-algorithm for Hermitian plus low rank matrices, SIAM Journal on Scientific Computing, volume 32, issue 4, pages 2190-2212, 2010 DOI BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A multiple shift QR-step for structured rank matrices, Journal of Computational and Applied Mathematics, volume 233, issue 5, pages 1326-1344, 2010 DOI BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. On the computation of the nullspace of Toeplitz-like matrices, Electronic Transactions on Numerical Analysis, volume 33, pages 151-162, 2009 BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices, Electronic Transactions on Numerical Analysis, volume 33, pages 126-150, 2009 BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A quasiseparable approach to solve the definite generalized eigenvalue problem, SIAM Journal on Matrix Analysis and Applications, volume 31, issue 1, pages 154-174, 2009 BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. A fast algorithm for the recursive calculation of dominant singular subspaces, Journal of Computational and Applied Mathematics, volume 218, issue 2, pages 238-246, 2008 DOI BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix, Numerical Linear Algebra With Applications, volume 15, issue 4, pages 327-337, 2008 DOI BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix, Linear Algebra and Its Applications, volume 428, issue 2-3, pages 479-491, 2008 BibTeX
  • Vanberghen, Yvette; Vandebril, Raf; Van Barel, Marc. A QZ-method based on semiseparable matrices, Journal of Computational and Applied Mathematics, volume 218, issue 2, pages 482-491, 2008 DOI BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A parallel QR-factorization/solver of quasiseparable matrices, Electronic Transactions on Numerical Analysis, volume 30, pages 144-167, 2008 BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. Rational QR-iteration without inversion, Numerische Mathematik, volume 110, issue 4, pages 561-575, 2008 DOI BibTeX

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Books, internationally recognised scientific publisher; as author

1 reference

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Meeting abstracts, presented at international conferences and symposia

49 references
  • Aurentz, Jared; Watkins, David S.; Vandebril, Raf. Fast computation of zeros of a polynomial, SIAM Annal Meeting, Minneapolis, USA, 9-13 July 2012 BibTeX
  • Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf. Sructured matrix geometric means: theory and algorithms, Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications, Luminy, 8-12 October 2012 BibTeX
  • Ferranti, Micol; Vandebril, Raf; Le, Thanh Hieu. Unitary similarity of normal matrices to complex symmetric form, International Congress on Computational and Applied Mathematics, Ghent, 9-12 July 2012 BibTeX
  • Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart; Bini, Dari; Iannazzo, Bruno. Matrix manifold optimization: Contemporary algorithms for computing the matrix geometric mean, International Congress on Computational and Applied Mathematics, Ghent, Belgium, 9-12 July 2012 BibTeX
  • Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart; Bini, Dario; Iannazzo, Bruno. The Karcher mean: First and Second Order Optimization Techniques on Matrix Manifolds, SIAM conference on Applied Linear Algebra, Valencia, Spain, 18-22 June 2012 BibTeX
  • Mertens, Clara; Van Barel, Marc; Vandebril, Raf. Solving multivariate vector polynomial interpolation problems, SiAM conference on Applied Linear Algebra, Valencia, Spain, 18-22 June 2012 BibTeX
  • Vandebril, Raf. The Nullity Theorem: forecasting structures in the inverse of sparse matrices, SIAM conference on Applied Linear Algebra, Valencia, Spain, 18-22 June 2012 BibTeX
  • Vandebril, Raf; Mertens, Clara; Van Barel, Marc. Solving multivariate vector polynomial interpolation problems, International Congress on Computational and Applied Mathematics, Ghent, 9-12 July 2012 BibTeX
  • Vandebril, Raf; Watkins, David S.. An extension of the multishift QZ algorithm beyond the Hessenberg-upper triangular pencil, Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications, Luminy, 8-12 October 2012 BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. A new truncation strategy for the higher-order singular value decomposition of tensors, 2012 SIAM Conference on Applied Linear Algebra, Valencia, Spain, June 18-22, 2012 BibTeX
  • Watkins, David S.; Vandebril, Raf; Aurentz, Jared. Fast computation of zeros of a polynomial, SiAM conference on Applied Linear Algebra, Valencia, Spain, 18-22 June 2012 BibTeX
  • Watkins, David S.; Vandebril, Raf; Aurentz, Jared. Fast computation of eigenvalues of companion, comrade, and related matrices, Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications, Luminy, 8-12 October 2012 BibTeX
  • Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart. The matrix geometric mean and manifold optimization, International Linear Algebra Society Conference, Braunschweig, Germany, 22-26 August 2011 BibTeX
  • Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart. 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 BibTeX
  • Vandebril, Raf. 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 BibTeX
  • Vandebril, Raf. The interplay of rotations, QR-factorizations, and novel similarity transformations, Foundations of Computational Mathematics, Budapest, Hungary, 4-14 July, 2011 BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. A unification of unitary similarity transforms to compressed representations, International Conference on Scientific Computing, S. Margherita di Pula, Sardinia, italy, 10-13 October, 2011 BibTeX
  • Vandebril, Raf; Watkins, D. S.. 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 BibTeX
  • Vandebril, Raf; Watkins, D. S.. 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 BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. The sequentially truncated multilinear singular value decomposition for tensors, International Linear Algebra Society Conference, Braunschweig, Germany, August 22-26, 2011 BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. 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 BibTeX
  • Watkins, D. S.; Vandebril, Raf. 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 BibTeX
  • Watkins, D. S.; Vandebril, Raf. 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 BibTeX
  • Beckermann, Bernd; Guettel, Stefan; Vandebril, Raf. 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 BibTeX
  • Chesnokov, Andrey; Van Barel, Marc; Mastronardi, Nicola; Vandebril, Raf. Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue algorithms, International Congress on Computational and Applied Mathematics, Leuven, 5-9 July 2010 BibTeX
  • Chesnokov, Andrey; Van Barel, Marc; Mastronardi, Nicola; Vandebril, Raf. Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue problems, BIT 50 – Trends in Numerical Computing, Lund, Sweden, 17-20 June 2010 BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. 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 BibTeX
  • Mastronardi, Nicola; Van Dooren, Paul; Vandebril, Raf; Tyrtyshnikov, Eugene; Van Barel, Marc. A fast algorithm for computing the null-space of polynomial matrices, Conference of the International Linear Algebra Society, Pisa, Italy, 21-25 June 2010 BibTeX
  • Meerbergen, Karl; Spence, Alastair; Vandebril, Raf. The solution of a class of two-parameter eigenvalue problems and a connection with the implicitly restarted Arnoldi method, Goovaerts, Marc; Van Daele, Marnix; Vandewalle, Stefan (eds.), International Congress on Computational and Applied Mathematics (ICCAM2010), Leuven, 5-9 July 2010 PDF BibTeX
  • Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn. Computing the eigenvalues of a companion matrix, International Workshop on Accurate Solution of Eigenvalue Problems, Berlin, Germany, 28 June - 1 July 2010 BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. An implicit multishift QR-algorithm for Hermitian plus low rank matrices, International Congress on Computational and Applied Mathematics, Leuven, 5-9 July 2010 BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. An implicit multishift QR-algorithm for Hermitian plus low rank matrices, Conference of the International Linear Algebra Society, Pisa, Italy, 21-25 June 2010 BibTeX
  • Vandebril, Raf; Meerbergen, Karl. 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 BibTeX
  • Güttel, Stefan; Eiermann, Michael; Ernst, Oliver; Beckermann, Bernd; Vandebril, Raf. Various aspects of rational Krylov methods for matrix functions, Academy of Sciences of the Czech Republic, Prague, Czech Republic, 15 May 2009 BibTeX
  • Güttel, Stefan; Eiermann, Michael; Ernst, Oliver; Beckermann, Bernd; Vandebril, Raf. Rational Krylov methods and approximation of f(A)b, Conference on Scientific Computing, Geneva, Switzerland, 17 July 2009 BibTeX
  • Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul. Computing the eigenvalues of a companion matrix, Visiting Professor, Dipartimento di Matematica e Informatica, University of Cagliari, Italy, 9 July 2009 BibTeX
  • Vandebril, Raf. On tridiagonal matrices unitarily equivalent to normal matrices, Siam Conference on Applied Linear Algebra, Monterey Bay, California, USA, 26-29 October 2009 BibTeX
  • Vandebril, Raf; Del Corso, Gianna. 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 BibTeX
  • Mastronardi, Nicola; Laudadio, Teresa; Van Barel, Marc; Vandebril, Raf. 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 BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. 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 BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. Computing the null space of block Toeplitz/Hankel matrices, Householder meeting on Numerical Linear Algebra, Zeuthen, Germany, 1-6 June, 2008 BibTeX
  • Mastronardi, Nicola; Vandebril, Raf; Van Barel, Marc. On computing the null space of polynomial matrices, Structured Linear Algebra Problems: Analysis, Algorithms and Applications, Cortona, Italy, 15-19 September, 2008 BibTeX
  • Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola. A generalization of the QR-algorithm for semiseparable plus diagonal matrices, Householder Symposium, Zeuthen, Germany, 1-6 June 2008 BibTeX
  • Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola; Van Camp, Ellen; Delvaux, Steven; Vanberghen, Yvette; Frederix, Katrijn. Rank structured matrix operations, Patrick Dewilde Workshop on Algebra, Networks, Signal Processing and System Theory, Wassenaar, 21–25 June 2008 BibTeX
  • Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul. A companion matrix eigenvalue solver, Structured Linear Algebra Problems: Analysis, Algorithms, and Applications, Cortona, Italy, 15-19 September 2008 BibTeX
  • Vandebril, Raf. Structured rank matrices and the Ax= λ Bx problem, Foundations of Computational Mathematics, Workshop on Numerical Linear Algebra, Hong Kong, 20-22 June 2008 BibTeX
  • Vandebril, Raf. On computing singular values of normal matrices, Structured Numerical Linear Algebra Problems: Analysis, Algorithms, and Applications, Cortona, Italy, 15-19 September 2008 BibTeX
  • Vandebril, Raf; Golub, Gene. On the Ax equals Lambda Bx problem, Gene Golub Around the World Commemoration, Leuven, Belgium, 29 February, 2008 BibTeX
  • Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A rational generalization of the QR-algorithm, Householder Symposium, Zeuthen, Germany, 1-6 June 2008 BibTeX

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Meeting abstracts, presented at other conferences and symposia

4 references
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. 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 BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. On generalizing the Schmidt-Eckart-Young theorem to tensors, NATW Seminar, Leuven, Belgium, December 5, 2012 BibTeX
  • Vandebril, Raf. Structured rank matrices and eigenvalue problems, Séminaire Analyse et Numerique, Laboratoire Painlevé, Lille, France, 8 January, 2009 BibTeX
  • Vandebril, Raf. Structured rank matrices and eigenvalue problems, Seminar, Kent State University, Kent, USA, 19 February, 2008 BibTeX

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Internal reports

11 references
  • Mach, Thomas; Pranić, Miroslav S.; Vandebril, Raf. Computing approximate extended Krylov subspaces without explicit inversion, TW Reports, volume TW623, 22 pages, Department of Computer Science, KU Leuven, Leuven, Belgium, February 2013 PDF BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. A probabilistic numerical algorithm based on Terracini's lemma for proving nondefectivity of Segre varieties, TW Reports, volume TW622, 42 pages, Department of Computer Science, KU Leuven, Leuven, Belgium, December 2012 PDF BibTeX
  • Chesnokov, Andrey; Van Barel, Marc; Mastronardi, Nicola; Vandebril, Raf. Homotopy algorithm for the symmetric diagonal-plus-semiseparable eigenvalue problem, TW Reports, volume TW595, 26 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2011 PDF BibTeX
  • Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl. On the truncated multilinear singular value decomposition, TW Reports, volume TW589, 34 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, March 2011 PDF BibTeX
  • Meerbergen, Karl; Vandebril, Raf. A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line, TW Reports, volume TW565, 14 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2010 PDF BibTeX
  • Vandebril, Raf. QR-type iterations for eigenvalue computations based on factorizations of unitary matrices in rotations, TW Reports, volume TW577, 23 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, September 2010 PDF BibTeX
  • Vandebril, Raf; Del Corso, Gianna M.. A unification of unitary similarity transforms to compressed representations, Technical Report, volume TR-10-14, Dipartimento Informatica, Univ. Pisa, Pisa, Italy, August 2010 BibTeX
  • Vandebril, Raf; Del Corso, Gianna. An implicit multishift QR-algorithm for Hermitian plus low rank matrices, Technical Report, volume TR-09-06, pages 1-30, Dipartimento Informatica, Univ. Pisa, Pisa, Italy, March 2009 BibTeX
  • Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf. On the computation of the nullspace of Toeplitz-like matrices, TW Reports, volume TW516, 12 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, January 2008 PDF BibTeX
  • Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul. Implicit double shift QR-algorithm for companion matrices, TW Reports, volume TW532, 29 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, November 2008 PDF BibTeX
  • Vandebril, Raf. On tridiagonal matrices unitarily equivalent to normal matrices, TW Reports, volume TW529, 22 pages, Department of Computer Science, K.U.Leuven, Leuven, Belgium, October 2008 PDF BibTeX

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External reports

1 reference

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No publications found for the period 2008-2013 and the types

  • Articles in other journals
  • Other published books; as author
  • Books, internationally recognised scientific publisher; as editor
  • Other published books; as editor
  • Article in book, internationally recognised scientific publisher
  • Article in other published book
  • Papers at international conferences and symposia, published in full in proceedings
  • Papers at other conferences and symposia, published in full in proceedings
  • Thesis
  • Review
  • Translation without scientific introduction
  • Scientific popularisation
  • Misc.
 
Last update local database Sun May 19 2013 0:18 am; It contains 205 publications of Raf Vandebril.

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