Edit Profile (opens in new tab) Van Barel, Marc Co-Author Distance Author ID: van-barel.marc Published as: Van Barel, Marc; Van Barel, M.; van Barel, Marc; van Barel, M.; Barel, Marc Van more...less Homepage: https://people.cs.kuleuven.be/~marc.vanbarel/drupal_v07/ External Links: MGP · Google Scholar · dblp Documents Indexed: 173 Publications since 1986, including 4 Books and 5 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 82 Co-Authors with 177 Joint Publications 2,633 Co-Co-Authors all top 5 Co-Authors 2 single-authored 39 Vandebril, Raf 35 Bultheel, Adhemar François 33 Mastronardi, Nicola 18 Delvaux, Steven 18 Kravanja, Peter 7 Van Camp, Ellen 6 De Lathauwer, Lieven 6 Frederix, Katrijn 6 Sorber, Laurent 6 Telen, Simon 5 Le, Thanh Hieu 5 Van Dooren, Paul M. 4 Chesnokov, Andrey A. 4 Codevico, Gianni 4 Gemignani, Luca 4 Golub, Gene Howard 4 Heinig, Georg 4 Humet, Matthias 4 Sakurai, Tetsuya 4 Themistoclakis, Woula 4 van Buggenhout, Niel 4 Vavřín, Zdeněk 4 Vermeylen, Charlotte 3 Bini, Dario Andrea 3 Hendrickx, Jef 3 Mach, Thomas 3 Pták, Vlastimil 3 Tyrtyshnikov, Evgeniĭ Evgen’evich 2 Absil, Pierre-Antoine 2 Cruz-Barroso, Ruymán 2 Fasino, Dario 2 Haegemans, Ann 2 Helsen, Simon 2 Levrie, Paul 2 Mourrain, Bernard 2 Olikier, Guillaume 2 Pan, Victor Yakovlevich 2 Reichel, Lothar 2 Sugiura, Hiroshi 2 Tisseur, Françoise 2 Van Assche, Walter 2 Van Gucht, Patrick 2 Vanberghen, Yvette 2 Verschelde, Jan 1 Beckermann, Bernhard 1 Berger, Guillaume O. 1 Camp, Van Ellen 1 Ching, Wai-Ki 1 Cuyt, Annie A. M. 1 De Moor, Bart L. R. 1 De Samblanx, Gorik 1 Debals, Otto 1 Deckers, Karl 1 Di Benedetto, Fabio 1 Diele, Fasma 1 Domanov, Ignat 1 Farenick, Douglas R. 1 González-Vera, Pablo 1 Ikramov, Saidkhakim Dododshanovich 1 Jungers, Raphaël M. 1 Kuijlaars, Arno B. J. 1 Labahn, George 1 Laudadio, Teresa 1 Lawrence, Piers W. 1 Lemmens, Bas 1 Marco García, Ana 1 Martínez, José-Javier 1 Mehrmann, Volker 1 Ng, Michael Kwok-Po 1 Olshevsky, Vadim 1 Pintelon, Rik 1 Plestenjak, Bor 1 Ragos, Omiros 1 Rolain, Yves 1 Schuermans, M. 1 Timme, Sascha 1 Van Gestel, Tony 1 Van Huffel, Sabine 1 Verdonk, Brigitte M. 1 Vrahatis, Michael N. 1 Wang, Xinmao 1 Zafiropoulos, F. A. all top 5 Serials 42 Journal of Computational and Applied Mathematics 23 Linear Algebra and its Applications 19 Numerical Algorithms 13 SIAM Journal on Matrix Analysis and Applications 9 ETNA. Electronic Transactions on Numerical Analysis 8 Numerische Mathematik 7 Calcolo 5 Numerical Linear Algebra with Applications 2 BIT 2 Computing 2 SIAM Journal on Optimization 1 Computer Physics Communications 1 IEEE Transactions on Information Theory 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 IEEE Transactions on Automatic Control 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Constructive Approximation 1 IEEE Transactions on Signal Processing 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 ELA. The Electronic Journal of Linear Algebra 1 Mediterranean Journal of Mathematics 1 Lecture Notes in Mathematics 1 Studies in Computational Mathematics 1 Numerical Algebra, Control and Optimization 1 Dolomites Research Notes on Approximation 1 Springer INdAM Series 1 Operator Theory: Advances and Applications all top 5 Fields 145 Numerical analysis (65-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 36 Approximations and expansions (41-XX) 14 Functions of a complex variable (30-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 10 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 6 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Number theory (11-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 4 Computer science (68-XX) 3 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 1,191 times in 684 Documents Cited by ▼ Year ▼ Matrix computations and semiseparable matrices. Vol. 1: Linear systems. Zbl 1141.65019 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 56 2008 Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-\((L_r,L_r,1)\) terms, and a new generalization. Zbl 1277.90073 Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 46 2013 Padé techniques for model reduction in linear system theory: a survey. Zbl 0583.65044 van Barel, M. 45 1986 Computing the zeros of analytic functions. Zbl 0945.65018 Kravanja, Peter; Van Barel, Marc 39 2000 A general module theoretic framework for vector M-Padé and matrix rational interpolation. Zbl 0780.41014 Van Barel, M.; Bultheel, A. 33 1992 A note on the representation and definition of semiseparable matrices. Zbl 1164.15341 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2005 Matrix computations and semiseparable matrices. Vol. 2: Eigenvalue and singular value methods. Zbl 1175.65045 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2008 Unconstrained optimization of real functions in complex variables. Zbl 1260.90150 Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 32 2012 A bibliography on semiseparable matrices. Zbl 1168.15312 Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 27 2005 Linear algebra, rational approximation and orthogonal polynomials. Zbl 0890.65024 Bultheel, Adhemar; Van Barel, Marc 27 1997 An implicit \(QR\) algorithm for symmetric semiseparable matrices. Zbl 1164.65368 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 24 2005 On locating clusters of zeros of analytic functions. Zbl 0948.65051 Kravanja, P.; Sakurai, T.; Van Barel, M. 22 1999 An orthogonal similarity reduction of a matrix into semiseparable form. Zbl 1089.65032 Van Barel, M.; Vandebril, R.; Mastronardi, N. 22 2005 A stabilized superfast solver for nonsymmetric Toeplitz systems. Zbl 1002.65033 Van Barel, Marc; Heinig, Georg; Kravanja, Peter 22 2001 A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1212.65153 Mastronardi, N.; Van Barel, M.; Vandebril, R. 20 2008 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 A new approach to the rational interpolation problem. Zbl 0715.41018 Van Barel, Marc; Bultheel, Adhemar 18 1990 A new approach to the rational interpolation problem: The vector case. Zbl 0729.41005 Van Barel, Marc; Bultheel, Adhemar 17 1990 Designing rational filter functions for solving eigenvalue problems by contour integration. Zbl 1386.65115 Van Barel, Marc 16 2016 Nonlinear eigenvalue problems and contour integrals. Zbl 1329.65109 Van Barel, Marc; Kravanja, Peter 16 2016 Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076 Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn 16 2010 Orthogonal rational functions and structured matrices. Zbl 1071.42015 Van Barel, Marc; Fasino, Dario; Gemignani, Luca; Mastronardi, Nicola 15 2005 Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Zbl 0857.42013 Van Barel, M.; Bultheel, A. 14 1995 A QR-based solver for rank structured matrices. Zbl 1162.65325 Delvaux, Steven; van Barel, Marc 14 2008 Vector orthogonal polynomials and least squares approximation. Zbl 0824.41016 Bultheel, Adhemar; Van Barel, Marc 13 1995 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050 Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 The computation of non-perfect Padé-Hermite approximants. Zbl 0753.65013 Van Barel, Marc; Bultheel, Adhemar 12 1991 Eigenvalue computation for unitary rank structured matrices. Zbl 1132.65026 Delvaux, Steven; Van Barel, Marc 11 2008 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010 Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 A Givens-weight representation for rank structured matrices. Zbl 1155.65033 Delvaux, Steven; van Barel, Marc 11 2008 A derivative-free algorithm for computing zeros of analytic functions. Zbl 0940.65048 Kravanja, P.; Van Barel, M. 10 1999 Rank structures preserved by the \(QR\)-algorithm: the singular case. Zbl 1090.65044 Delvaux, Steven; Van Barel, Marc 10 2006 Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Zbl 1105.65035 Mastronardi, N.; Van Camp, E; Van Barel, M. 10 2005 A parallel algorithm for discrete least squares rational approximation. Zbl 0762.41016 Van Barel, Marc; Bultheel, Adhemar 10 1992 Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101 Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul 10 2016 A Hessenberg reduction algorithm for rank structured matrices. Zbl 1198.65068 Delvaux, Steven; van Barel, Marc 10 2007 Two fast algorithms for solving diagonal-plus-semiseparable linear systems. Zbl 1038.65025 Van Camp, Ellen; Mastronardi, Nicola; Van Barel, Marc 9 2004 Iterative inversion of structured matrices. Zbl 1059.65032 Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 Numerical solution of bivariate and polyanalytic polynomial systems. Zbl 1302.65135 Sorber, Laurent; van Barel, Marc; De Lathauwer, Lieven 9 2014 Generalized de la Vallée Poussin approximations on [-1, 1]. Zbl 1366.41008 Themistoclakis, Woula; Van Barel, Marc 9 2017 An error analysis of two related quadrature methods for computing zeros of analytic functions. Zbl 1139.65307 Sakurai, Tetsuya; Kravanja, Peter; Sugiura, Hiroshi; Van Barel, Marc 9 2003 Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form. Zbl 1039.65033 Fasino, Dario; Mastronardi, Nicola; Van Barel, Marc 9 2003 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023 Telen, Simon; Van Barel, Marc; Verschelde, Jan 9 2020 Convergence of the isometric Arnoldi process. Zbl 1082.65038 Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M. 8 2005 Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Zbl 1086.65040 Vandebril, Raf; Van Camp, Ellen; Van Barel, Marc; Mastronardi, Nicola 8 2006 A bibliography on semiseparable matrices. Zbl 1168.15306 Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola 8 2005 Minimal vector Padé approximation. Zbl 0711.41003 Bultheel, Adhemar; Van Barel, Marc 8 1990 Discrete linearized least-squares rational approximation on the unit circle. Zbl 0810.65011 Van Barel, Marc; Bultheel, Adhemar 8 1994 Adaptive cross approximation for ill-posed problems. Zbl 1416.65565 Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. 8 2016 Rank-deficient submatrices of Fourier matrices. Zbl 1149.42005 Delvaux, Steven; Van Barel, Marc 8 2008 Solving polynomial systems via truncated normal forms. Zbl 1401.65054 Telen, Simon; Mourrain, Bernard; Barel, Marc Van 8 2018 Formal orthogonal polynomials and Hankel/Toeplitz duality. Zbl 0867.42012 Bultheel, Adhemar; Van Barel, Marc 7 1995 Inversion of a block Löwner matrix. Zbl 0861.15003 Van Barel, M.; Vavřín, Z. 7 1996 ZEAL: A mathematical software package for computing zeros of analytic functions. Zbl 0955.65033 Kravanja, P.; Van Barel, M.; Ragos, O.; Vrahatis, M. N.; Zafiropoulos, F. A. 7 2000 Structures preserved by matrix inversion. Zbl 1111.15005 Delvaux, Steven; Van Barel, Marc 7 2006 A new formal approach to the rational interpolation problem. Zbl 0765.65016 Van Barel, Marc; Bultheel, Adhemar 7 1992 Solving a large dense linear system by adaptive cross approximation. Zbl 1196.65064 Frederix, Katrijn; Van Barel, Marc 7 2010 An algebraic method to solve the minimal partial realization problem for scalar sequences. Zbl 0651.15011 van Barel, M.; Bultheel, A. 6 1988 A fast block Hankel solver based on an inversion formula for block Loewner matrices. Zbl 0904.65031 Kravanja, Peter; Van Barel, Marc 6 1996 A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions. Zbl 1040.65040 Kravanja, Peter; Sakurai, Tetsuya; Sugiura, Hiroshi; Van Barel, Marc 6 2003 Structures preserved by the QR-algorithm. Zbl 1083.65043 Delvaux, Steven; Van Barel, Marc 6 2006 A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Zbl 1164.65334 Codevico, G.; Heinig, G.; Van Barel, M. 6 2005 Exact line and plane search for tensor optimization. Zbl 1361.90046 Sorber, Laurent; Domanov, Ignat; Van Barel, Marc; De Lathauwer, Lieven 6 2016 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156 Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059 Bini, D. A.; Codevico, G.; Van Barel, M. 6 2003 An algorithm for computing the eigenvalues of block companion matrices. Zbl 1260.65024 Frederix, Katrijn; Delvaux, Steven; Van Barel, Marc 6 2013 A stabilized normal form algorithm for generic systems of polynomial equations. Zbl 1393.13006 Telen, Simon; Van Barel, Marc 6 2018 Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. Zbl 1418.65052 Van Barel, Marc; Tisseur, Françoise 6 2018 A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. Zbl 1189.65052 Chesnokov, Andrey; van Barel, Marc 5 2010 A fast Hankel solver based on an inversion formula for Loewner matrices. Zbl 0943.65041 Kravanja, Peter; Van Barel, Marc 5 1998 A stabilized superfast solver for indefinite Hankel systems. Zbl 0938.65059 Van Barel, Marc; Kravanja, Peter 5 1998 A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Zbl 1102.65032 Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 5 2007 A QR-method for computing the singular values via semiseparable matrices. Zbl 1069.65044 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 5 2004 A lookahead algorithm for the solution of block Toeplitz systems. Zbl 0885.65028 Van Barel, Marc; Bultheel, Adhemar 5 1997 The “look-ahead” philosophy applied to matrix rational interpolation problems. Zbl 1126.41300 Van Barel, Marc; Bultheel, Adhemar 5 1994 Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. Zbl 1294.65041 Mach, Thomas; Van Barel, Marc; Vandebril, Raf 5 2014 Approximating optimal point configurations for multivariate polynomial interpolation. Zbl 1298.65025 van Barel, Marc; Humet, Matthias; Sorber, Laurent 5 2014 The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Zbl 1334.11025 Le, Thanh Hieu; Sorber, Laurent; Van Barel, Marc 5 2013 Rank-deficient submatrices of Kronecker products of Fourier matrices. Zbl 1124.42008 Delvaux, Steven; van Barel, Marc 4 2007 On computing zeros and poles of meromorphic functions. Zbl 0945.30002 Kravanja, Peter; Van Barel, Marc; Haegemans, Ann 4 1999 A numerical solution of the constrained energy problem. Zbl 1086.65063 Helsen, S.; Van Barel, M. 4 2006 A parallel QR-factorization/solver of quasiseparable matrices. Zbl 1171.65017 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 4 2008 On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Zbl 1102.65042 Vandebril, Raf; Camp, Van Ellen; Van Barel, Marc; Mastronardi, Nicola 4 2006 Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011 4 2010 A note on the recursive calculation of dominant singular subspaces. Zbl 1068.65054 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 4 2005 A superfast method for solving Toeplitz linear least squares problems. Zbl 1044.65033 Van Barel, Marc; Heinig, Georg; Kravanja, Peter 4 2003 Löwner-based blind signal separation of rational functions with applications. Zbl 1414.94156 Debals, Otto; van Barel, Marc; de Lathauwer, Lieven 4 2016 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058 van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 Uniform approximation on the sphere by least squares polynomials. Zbl 1435.65033 Themistoclakis, Woula; Van Barel, Marc 4 2019 Unitary rank structured matrices. Zbl 1136.65045 Delvaux, Steven; Van Barel, Marc 3 2008 Sparse spectral clustering method based on the incomplete Cholesky decomposition. Zbl 1252.65075 Frederix, Katrijn; Van Barel, Marc 3 2013 A look-ahead method for computing vector Padé-Hermite approximants. Zbl 0841.41012 van Barel, Marc; Bultheel, Adhemar 3 1995 On the computation of the null space of Toeplitz-like matrices. Zbl 1188.65026 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 3 2009 Logarithmic residue based methods for computing zeros of analytic functions and related problems. Zbl 0944.65053 Kravanja, P.; Van Barel, M.; Haegemans, A. 3 1998 Updating and downdating of orthonormal polynomial vectors and some applications. Zbl 1017.42015 Van Barel, Marc; Bultheel, Adhemar 3 2001 An implicit \(Q\) theorem for Hessenberg-like matrices. Zbl 1150.15010 Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola 3 2005 Fast computation of determinants of Bézout matrices and application to curve implicitization. Zbl 1154.65030 Delvaux, Steven; Marco, Ana; Martínez, José-Javier; Van Barel, Marc 3 2009 Generalizations of orthogonal polynomials. Zbl 1068.42021 Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 3 2005 A generalized minimal partial realization problem. Zbl 0877.93025 Van Barel, Marc; Bultheel, Adhemar 3 1997 Matrix rational interpolation with poles as interpolation points. Zbl 0803.41006 van Barel, M.; Beckermann, B.; Bultheel, A.; Labahn, G. 3 1994 Rational QZ steps with perfect shifts. Zbl 07806994 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul 1 2024 Equivalent polyadic decompositions of matrix multiplication tensors. Zbl 1486.15030 Berger, Guillaume O.; Absil, Pierre-Antoine; De Lathauwer, Lieven; Jungers, Raphaël M.; Van Barel, Marc 1 2022 Truncated normal forms for solving polynomial systems: generalized and efficient algorithms. Zbl 1443.13024 Mourrain, Bernard; Telen, Simon; Van Barel, Marc 3 2021 Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder. Zbl 1470.65094 Tisseur, Françoise; Van Barel, Marc 1 2021 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023 Telen, Simon; Van Barel, Marc; Verschelde, Jan 9 2020 Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers. Zbl 07635852 Telen, Simon; Van Barel, Marc; Verschelde, Jan 1 2020 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058 van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 Uniform approximation on the sphere by least squares polynomials. Zbl 1435.65033 Themistoclakis, Woula; Van Barel, Marc 4 2019 Solving polynomial systems via truncated normal forms. Zbl 1401.65054 Telen, Simon; Mourrain, Bernard; Barel, Marc Van 8 2018 A stabilized normal form algorithm for generic systems of polynomial equations. Zbl 1393.13006 Telen, Simon; Van Barel, Marc 6 2018 Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. Zbl 1418.65052 Van Barel, Marc; Tisseur, Françoise 6 2018 Generalized de la Vallée Poussin approximations on [-1, 1]. Zbl 1366.41008 Themistoclakis, Woula; Van Barel, Marc 9 2017 Designing rational filter functions for solving eigenvalue problems by contour integration. Zbl 1386.65115 Van Barel, Marc 16 2016 Nonlinear eigenvalue problems and contour integrals. Zbl 1329.65109 Van Barel, Marc; Kravanja, Peter 16 2016 Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101 Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul 10 2016 Adaptive cross approximation for ill-posed problems. Zbl 1416.65565 Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. 8 2016 Exact line and plane search for tensor optimization. Zbl 1361.90046 Sorber, Laurent; Domanov, Ignat; Van Barel, Marc; De Lathauwer, Lieven 6 2016 Löwner-based blind signal separation of rational functions with applications. Zbl 1414.94156 Debals, Otto; van Barel, Marc; de Lathauwer, Lieven 4 2016 An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions. Zbl 1317.65117 Le, Thanh Hieu; Van Barel, Marc 1 2015 Numerical solution of bivariate and polyanalytic polynomial systems. Zbl 1302.65135 Sorber, Laurent; van Barel, Marc; De Lathauwer, Lieven 9 2014 Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. Zbl 1294.65041 Mach, Thomas; Van Barel, Marc; Vandebril, Raf 5 2014 Approximating optimal point configurations for multivariate polynomial interpolation. Zbl 1298.65025 van Barel, Marc; Humet, Matthias; Sorber, Laurent 5 2014 Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. Zbl 1293.65065 Humet, Matthias; Van Barel, Marc 3 2014 A convex optimization method to solve a filter design problem. Zbl 1291.94023 Le, Thanh Hieu; Van Barel, Marc 2 2014 Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-\((L_r,L_r,1)\) terms, and a new generalization. Zbl 1277.90073 Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 46 2013 An algorithm for computing the eigenvalues of block companion matrices. Zbl 1260.65024 Frederix, Katrijn; Delvaux, Steven; Van Barel, Marc 6 2013 The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Zbl 1334.11025 Le, Thanh Hieu; Sorber, Laurent; Van Barel, Marc 5 2013 Sparse spectral clustering method based on the incomplete Cholesky decomposition. Zbl 1252.65075 Frederix, Katrijn; Van Barel, Marc 3 2013 Erratum to: “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”. Zbl 1270.65016 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 3 2013 Unconstrained optimization of real functions in complex variables. Zbl 1260.90150 Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 32 2012 When is the Uvarov transformation positive definite? Zbl 1247.65012 Humet, Matthias; Van Barel, Marc 1 2012 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076 Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn 16 2010 Solving a large dense linear system by adaptive cross approximation. Zbl 1196.65064 Frederix, Katrijn; Van Barel, Marc 7 2010 A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. Zbl 1189.65052 Chesnokov, Andrey; van Barel, Marc 5 2010 Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011 4 2010 A numerical solution of the constrained weighted energy problem. Zbl 1203.65061 Chesnokov, Andrey; Deckers, Karl; Van Barel, Marc 3 2010 Orthogonal rational functions with real coefficients and semiseparable matrices. Zbl 1178.93065 Bultheel, A.; van Gucht, P.; van Barel, M. 2 2010 A multiple shift \(QR\)-step for structured rank matrices. Zbl 1179.65041 Vandebril, Raf; van Barel, Marc; Mastronardi, Nicola 2 2010 QR-factorization of displacement structured matrices using a rank structured matrix approach. Zbl 1203.65075 Delvaux, Steven; Gemignani, Luca; Van Barel, Marc 2 2010 A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. Zbl 1200.65017 Van Barel, Marc; Chesnokov, Andrey 1 2010 Special issue: Rolling waves in Leuven 2008. A international workshop on the occasion of Adhemar Bultheel’s 60th birthday. Selected papers based on the presentations at the workshop, Leuven, Belgium, December 15–16, 2008. Zbl 1205.65013 1 2010 On the computation of the null space of Toeplitz-like matrices. Zbl 1188.65026 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 3 2009 Fast computation of determinants of Bézout matrices and application to curve implicitization. Zbl 1154.65030 Delvaux, Steven; Marco, Ana; Martínez, José-Javier; Van Barel, Marc 3 2009 A quasi-separable approach to solve the symmetric definite tridiagonal generalized eigenvalue problem. Zbl 1186.65046 Vandebril, Raf; Golub, Gene; van Barel, Marc 2 2009 A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. Zbl 1188.65047 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 2 2009 Transforming a hierarchical into a unitary-weight representation. Zbl 1188.65056 Delvaux, Steven; Frederix, Katrijn; Van Barel, Marc 1 2009 Matrix computations and semiseparable matrices. Vol. 1: Linear systems. Zbl 1141.65019 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 56 2008 Matrix computations and semiseparable matrices. Vol. 2: Eigenvalue and singular value methods. Zbl 1175.65045 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2008 A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1212.65153 Mastronardi, N.; Van Barel, M.; Vandebril, R. 20 2008 A QR-based solver for rank structured matrices. Zbl 1162.65325 Delvaux, Steven; van Barel, Marc 14 2008 Eigenvalue computation for unitary rank structured matrices. Zbl 1132.65026 Delvaux, Steven; Van Barel, Marc 11 2008 A Givens-weight representation for rank structured matrices. Zbl 1155.65033 Delvaux, Steven; van Barel, Marc 11 2008 Rank-deficient submatrices of Fourier matrices. Zbl 1149.42005 Delvaux, Steven; Van Barel, Marc 8 2008 A parallel QR-factorization/solver of quasiseparable matrices. Zbl 1171.65017 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 4 2008 Unitary rank structured matrices. Zbl 1136.65045 Delvaux, Steven; Van Barel, Marc 3 2008 A fast algorithm for the recursive calculation of dominant singular subspaces. Zbl 1154.65319 Mastronardi, N.; Van Barel, M.; Vandebril, R. 3 2008 AQZ-method based on semiseparable matrices. Zbl 1153.65038 Vanberghen, Yvette; Vandebril, Raf; Van Barel, Marc 3 2008 Computing a lower bound of the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1322.65050 Laudadio, Teresa; Mastronardi, Nicola; Van Barel, Marc 2 2008 Rational \(QR\)-iteration without inversion. Zbl 1154.65020 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 1 2008 A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. Zbl 1136.65042 Mastronardi, N.; Van Barel, M.; Vandebril, R. 1 2008 A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043 Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen 1 2008 A Hessenberg reduction algorithm for rank structured matrices. Zbl 1198.65068 Delvaux, Steven; van Barel, Marc 10 2007 A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Zbl 1102.65032 Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 5 2007 Rank-deficient submatrices of Kronecker products of Fourier matrices. Zbl 1124.42008 Delvaux, Steven; van Barel, Marc 4 2007 Solving linear systems with a Levinson-like solver. Zbl 1171.65366 Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 1 2007 Rank structures preserved by the \(QR\)-algorithm: the singular case. Zbl 1090.65044 Delvaux, Steven; Van Barel, Marc 10 2006 Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Zbl 1086.65040 Vandebril, Raf; Van Camp, Ellen; Van Barel, Marc; Mastronardi, Nicola 8 2006 Structures preserved by matrix inversion. Zbl 1111.15005 Delvaux, Steven; Van Barel, Marc 7 2006 Structures preserved by the QR-algorithm. Zbl 1083.65043 Delvaux, Steven; Van Barel, Marc 6 2006 A numerical solution of the constrained energy problem. Zbl 1086.65063 Helsen, S.; Van Barel, M. 4 2006 On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Zbl 1102.65042 Vandebril, Raf; Camp, Van Ellen; Van Barel, Marc; Mastronardi, Nicola 4 2006 A note on the nullity theorem. Zbl 1090.65038 Vandebril, Raf; Van Barel, Marc 2 2006 On computing the eigenvectors of a class of structured matrices. Zbl 1086.65035 Mastronardi, N.; Van Barel, M.; Van Camp, E.; Vandebril, R. 2 2006 Structures preserved by Schur complementation. Zbl 1111.15006 Delvaux, Steven; Van Barel, Marc 2 2006 Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoli(Lanczos)-Ritz values. Zbl 1093.65038 Vandebril, Raf; Van Barel, Marc 1 2006 A note on the representation and definition of semiseparable matrices. Zbl 1164.15341 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2005 A bibliography on semiseparable matrices. Zbl 1168.15312 Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 27 2005 An implicit \(QR\) algorithm for symmetric semiseparable matrices. Zbl 1164.65368 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 24 2005 An orthogonal similarity reduction of a matrix into semiseparable form. Zbl 1089.65032 Van Barel, M.; Vandebril, R.; Mastronardi, N. 22 2005 Orthogonal rational functions and structured matrices. Zbl 1071.42015 Van Barel, Marc; Fasino, Dario; Gemignani, Luca; Mastronardi, Nicola 15 2005 Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Zbl 1105.65035 Mastronardi, N.; Van Camp, E; Van Barel, M. 10 2005 Convergence of the isometric Arnoldi process. Zbl 1082.65038 Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M. 8 2005 A bibliography on semiseparable matrices. Zbl 1168.15306 Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola 8 2005 A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Zbl 1164.65334 Codevico, G.; Heinig, G.; Van Barel, M. 6 2005 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156 Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 A note on the recursive calculation of dominant singular subspaces. Zbl 1068.65054 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 4 2005 An implicit \(Q\) theorem for Hessenberg-like matrices. Zbl 1150.15010 Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola 3 2005 Generalizations of orthogonal polynomials. Zbl 1068.42021 Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 3 2005 A Lanczos-like reduction of symmetric structured matrices to semiseparable form. Zbl 1150.65010 Mastronardi, Nicola; Schuermans, M.; Van Barel, Marc; Vandebril, Raf; Van Huffel, S. 2 2005 Orthonormal rational function vectors. Zbl 1071.65013 Delvaux, Steven; Van Barel, Marc 1 2005 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050 Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010 Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 Two fast algorithms for solving diagonal-plus-semiseparable linear systems. Zbl 1038.65025 Van Camp, Ellen; Mastronardi, Nicola; Van Barel, Marc 9 2004 Iterative inversion of structured matrices. Zbl 1059.65032 Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 A QR-method for computing the singular values via semiseparable matrices. Zbl 1069.65044 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 5 2004 On computing the spectral decomposition of symmetric arrowhead matrices. Zbl 1127.65315 Diele, Fasma; Mastronardi, Nicola; Van Barel, Marc; Van Camp, Ellen 2 2004 An error analysis of two related quadrature methods for computing zeros of analytic functions. Zbl 1139.65307 Sakurai, Tetsuya; Kravanja, Peter; Sugiura, Hiroshi; Van Barel, Marc 9 2003 Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form. Zbl 1039.65033 Fasino, Dario; Mastronardi, Nicola; Van Barel, Marc 9 2003 A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions. Zbl 1040.65040 Kravanja, Peter; Sakurai, Tetsuya; Sugiura, Hiroshi; Van Barel, Marc 6 2003 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 967 Authors 83 Van Barel, Marc 35 Vandebril, Raf 30 Bultheel, Adhemar François 21 Pan, Victor Yakovlevich 20 Gemignani, Luca 13 Mastronardi, Nicola 12 De Lathauwer, Lieven 12 Delvaux, Steven 12 Robol, Leonardo 11 Eidelman, Yuli 10 Beckermann, Bernhard 10 Bini, Dario Andrea 10 Sakurai, Tetsuya 9 Del Corso, Gianna M. 9 Dopico, Froilán M. 9 Van Dooren, Paul M. 8 Gohberg, Israel 8 Heinig, Georg 8 Telen, Simon 8 Themistoclakis, Woula 7 Bevilacqua, Roberto 7 Domanov, Ignat 7 Kravanja, Peter 7 Lepschy, Antonio 7 Mach, Thomas 7 Mian, Gian Antonio 7 Neiger, Vincent 7 Occorsio, Donatella 7 Reichel, Lothar 7 Viaro, Umberto 6 Cruz-Barroso, Ruymán 6 Labahn, George 6 Massei, Stefano 6 Petković, Miodrag S. 6 Vannieuwenhoven, Nick 6 Xia, Jianlin 5 Le, Thanh Hieu 5 Li, Xiaoye Sherry 5 Mourrain, Bernard 5 Noferini, Vanni 5 Pernet, Clément 5 Rosholt, Rhys Eric 5 Schost, Éric 5 Van Camp, Ellen 5 Vavřín, Zdeněk 5 Villard, Gilles 5 Wei, Yimin 4 Aguirre, Luis Antonio 4 Aurentz, Jared Lee 4 Breiding, Paul 4 Chesnokov, Andrey A. 4 Cuyt, Annie A. M. 4 Deckers, Karl 4 Du, Lei 4 Gu, Chuanqing 4 Güttel, Stefan 4 Hwang, Chyi 4 Imakura, Akira 4 Jia, Jiteng 4 Kressner, Daniel 4 Marcellán Español, Francisco 4 Meerbergen, Karl 4 Murphy, Brian J. 4 Njåstad, Olav 4 Olshevsky, Vadim 4 Rost, Karla 4 Sugiura, Hiroshi 4 Tang, Yuqing 4 Tisseur, Françoise 4 Verdonk, Brigitte M. 4 Watkins, David S. 4 Xi, Yuanzhe 4 Zheng, Ailong 3 Abderramán Marrero, J. 3 Belhaj, Skander 3 Bostan, Alin 3 Chen, Gongning 3 Díaz-Mendoza, Carlos 3 Driver, Kathy A. 3 Frederix, Katrijn 3 Ghysels, Pieter 3 González-Concepción, Concepción 3 Gutknecht, Martin H. 3 Haimovici, Iulian 3 Hu, Yongjian 3 Huang, Ting-Zhu 3 Jeannerod, Claude-Pierre 3 Jooste, Alta S. 3 Kansal, Munish 3 Kaur, Manpreet 3 Lawrence, Piers W. 3 Li, Shengguo 3 Li, Zhening 3 Lucas, T. N. 3 Mohlenkamp, Martin J. 3 Nakatsukasa, Yuji 3 Oomen, Tom 3 Palitta, Davide 3 Pérez, Javier J. 3 Petković, Ljiljana D. ...and 867 more Authors all top 5 Cited in 143 Serials 100 Journal of Computational and Applied Mathematics 85 Linear Algebra and its Applications 44 Numerical Algorithms 42 SIAM Journal on Matrix Analysis and Applications 26 SIAM Journal on Scientific Computing 22 Applied Mathematics and Computation 19 Computers & Mathematics with Applications 17 Numerische Mathematik 14 Mathematics of Computation 11 Calcolo 10 Journal of the Franklin Institute 10 Journal of Approximation Theory 10 Journal of Symbolic Computation 9 Journal of Computational Physics 9 Applied Numerical Mathematics 7 International Journal of Systems Science 7 ETNA. Electronic Transactions on Numerical Analysis 6 Journal of Scientific Computing 5 International Journal of Control 5 Linear and Multilinear Algebra 5 Automatica 5 BIT 5 Journal of Complexity 5 Japan Journal of Industrial and Applied Mathematics 4 Computer Physics Communications 4 International Journal for Numerical Methods in Engineering 4 Theoretical Computer Science 4 Multidimensional Systems and Signal Processing 4 Computational Optimization and Applications 4 Applied and Computational Harmonic Analysis 4 Numerical Linear Algebra with Applications 4 Journal of Applied Mathematics and Computing 4 SIAM Journal on Imaging Sciences 3 Inverse Problems 3 Computing 3 Journal of Optimization Theory and Applications 3 Journal of Pure and Applied Algebra 3 Systems & Control Letters 3 Constructive Approximation 3 Neural Networks 3 SIAM Journal on Optimization 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 3 Numerical Algebra, Control and Optimization 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 ACM Transactions on Mathematical Software 2 Integral Equations and Operator Theory 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 2 SIAM Review 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Journal of Inverse and Ill-Posed Problems 2 Engineering Analysis with Boundary Elements 2 Journal of Mathematical Chemistry 2 Mathematical Methods of Operations Research 2 Journal of Shanghai University 2 Archives of Computational Methods in Engineering 2 Journal of Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Mediterranean Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Analysis Mathematica 1 Applicable Analysis 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Advances in Mathematics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Applied Probability 1 Journal of Econometrics 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Physica D 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Neural Computation 1 Discrete Mathematics and Applications 1 Journal of Global Optimization 1 Designs, Codes and Cryptography 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis ...and 43 more Serials all top 5 Cited in 49 Fields 475 Numerical analysis (65-XX) 228 Linear and multilinear algebra; matrix theory (15-XX) 100 Approximations and expansions (41-XX) 58 Systems theory; control (93-XX) 52 Computer science (68-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 36 Functions of a complex variable (30-XX) 31 Operations research, mathematical programming (90-XX) 28 Partial differential equations (35-XX) 28 Operator theory (47-XX) 24 Special functions (33-XX) 21 Algebraic geometry (14-XX) 20 Commutative algebra (13-XX) 19 Information and communication theory, circuits (94-XX) 18 Ordinary differential equations (34-XX) 13 Field theory and polynomials (12-XX) 13 Real functions (26-XX) 12 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 12 Quantum theory (81-XX) 11 Number theory (11-XX) 11 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Combinatorics (05-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Optics, electromagnetic theory (78-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year