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: 163 Publications since 1986, including 4 Books 6 Contributions as Editor Co-Authors: 79 Co-Authors with 167 Joint Publications 2,373 Co-Co-Authors all top 5 Co-Authors 2 single-authored 36 Vandebril, Raf 35 Bultheel, Adhemar François 31 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 4 Codevico, Gianni 4 Gemignani, Luca 4 Golub, Gene Howard 4 Heinig, Georg 4 Humet, Matthias 4 Sakurai, Tetsuya 4 Vavřín, Zdeněk 3 Bini, Dario Andrea 3 Chesnokov, Andrey A. 3 Hendrickx, Jef 3 Mach, Thomas 3 Pták, Vlastimil 3 Tyrtyshnikov, Evgeniĭ Evgen’evich 3 van Buggenhout, Niel 3 Van Dooren, Paul M. 2 Cruz-Barroso, Ruymán 2 Fasino, Dario 2 Haegemans, Ann 2 Helsen, Simon 2 Levrie, Paul 2 Mourrain, Bernard 2 Pan, Victor Yakovlevich 2 Reichel, Lothar 2 Sugiura, Hiroshi 2 Themistoclakis, Woula 2 Tisseur, Françoise 2 Van Assche, Walter 2 Van Gucht, Patrick 2 Vanberghen, Yvette 2 Verschelde, Jan 1 Absil, Pierre-Antoine 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 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 41 Journal of Computational and Applied Mathematics 23 Linear Algebra and its Applications 18 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 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 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 138 Numerical analysis (65-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 33 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 Computer science (68-XX) 3 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-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 145 Publications have been cited 1,140 times in 650 Documents Cited by ▼ Year ▼ Matrix computations and semiseparable matrices. Vol. 1: Linear systems. Zbl 1141.65019Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 50 2008 Padé techniques for model reduction in linear system theory: a survey. Zbl 0583.65044van Barel, M. 45 1986 Computing the zeros of analytic functions. Zbl 0945.65018Kravanja, Peter; Van Barel, Marc 38 2000 Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-\((L_r,L_r,1)\) terms, and a new generalization. Zbl 1277.90073Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 38 2013 A note on the representation and definition of semiseparable matrices. Zbl 1164.15341Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2005 A general module theoretic framework for vector M-Padé and matrix rational interpolation. Zbl 0780.41014Van Barel, M.; Bultheel, A. 31 1992 Matrix computations and semiseparable matrices. Vol. 2: Eigenvalue and singular value methods. Zbl 1175.65045Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 30 2008 Unconstrained optimization of real functions in complex variables. Zbl 1260.90150Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 29 2012 Linear algebra, rational approximation and orthogonal polynomials. Zbl 0890.65024Bultheel, Adhemar; Van Barel, Marc 27 1997 A bibliography on semiseparable matrices. Zbl 1168.15312Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 25 2005 An implicit \(QR\) algorithm for symmetric semiseparable matrices. Zbl 1164.65368Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 24 2005 On locating clusters of zeros of analytic functions. Zbl 0948.65051Kravanja, P.; Sakurai, T.; Van Barel, M. 22 1999 An orthogonal similarity reduction of a matrix into semiseparable form. Zbl 1089.65032Van Barel, M.; Vandebril, R.; Mastronardi, N. 22 2005 A stabilized superfast solver for nonsymmetric Toeplitz systems. Zbl 1002.65033Van Barel, Marc; Heinig, Georg; Kravanja, Peter 20 2001 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1212.65153Mastronardi, N.; Van Barel, M.; Vandebril, R. 19 2008 A new approach to the rational interpolation problem. Zbl 0715.41018Van Barel, Marc; Bultheel, Adhemar 18 1990 A new approach to the rational interpolation problem: The vector case. Zbl 0729.41005Van Barel, Marc; Bultheel, Adhemar 17 1990 Designing rational filter functions for solving eigenvalue problems by contour integration. Zbl 1386.65115Van Barel, Marc 16 2016 Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn 16 2010 Orthogonal rational functions and structured matrices. Zbl 1071.42015Van Barel, Marc; Fasino, Dario; Gemignani, Luca; Mastronardi, Nicola 15 2005 Nonlinear eigenvalue problems and contour integrals. Zbl 1329.65109Van Barel, Marc; Kravanja, Peter 15 2016 Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Zbl 0857.42013Van Barel, M.; Bultheel, A. 14 1995 A QR-based solver for rank structured matrices. Zbl 1162.65325Delvaux, Steven; van Barel, Marc 13 2008 Vector orthogonal polynomials and least squares approximation. Zbl 0824.41016Bultheel, Adhemar; Van Barel, Marc 13 1995 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 The computation of non-perfect Padé-Hermite approximants. Zbl 0753.65013Van Barel, Marc; Bultheel, Adhemar 12 1991 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 Eigenvalue computation for unitary rank structured matrices. Zbl 1132.65026Delvaux, Steven; Van Barel, Marc 11 2008 A Hessenberg reduction algorithm for rank structured matrices. Zbl 1198.65068Delvaux, Steven; van Barel, Marc 10 2007 A Givens-weight representation for rank structured matrices. Zbl 1155.65033Delvaux, Steven; van Barel, Marc 10 2008 Rank structures preserved by the \(QR\)-algorithm: the singular case. Zbl 1090.65044Delvaux, Steven; Van Barel, Marc 10 2006 Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Zbl 1105.65035Mastronardi, N.; Van Camp, E; Van Barel, M. 10 2005 A parallel algorithm for discrete least squares rational approximation. Zbl 0762.41016Van Barel, Marc; Bultheel, Adhemar 10 1992 Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul 10 2016 A derivative-free algorithm for computing zeros of analytic functions. Zbl 0940.65048Kravanja, P.; Van Barel, M. 10 1999 Iterative inversion of structured matrices. Zbl 1059.65032Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 An error analysis of two related quadrature methods for computing zeros of analytic functions. Zbl 1139.65307Sakurai, 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 1039.65033Fasino, Dario; Mastronardi, Nicola; Van Barel, Marc 9 2003 Two fast algorithms for solving diagonal-plus-semiseparable linear systems. Zbl 1038.65025Van Camp, Ellen; Mastronardi, Nicola; Van Barel, Marc 9 2004 Numerical solution of bivariate and polyanalytic polynomial systems. Zbl 1302.65135Sorber, Laurent; van Barel, Marc; De Lathauwer, Lieven 9 2014 Minimal vector Padé approximation. Zbl 0711.41003Bultheel, Adhemar; Van Barel, Marc 8 1990 Convergence of the isometric Arnoldi process. Zbl 1082.65038Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M. 8 2005 Rank-deficient submatrices of Fourier matrices. Zbl 1149.42005Delvaux, Steven; Van Barel, Marc 8 2008 Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Zbl 1086.65040Vandebril, Raf; Van Camp, Ellen; Van Barel, Marc; Mastronardi, Nicola 8 2006 A bibliography on semiseparable matrices. Zbl 1168.15306Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola 8 2005 Discrete linearized least-squares rational approximation on the unit circle. Zbl 0810.65011Van Barel, Marc; Bultheel, Adhemar 8 1994 Structures preserved by matrix inversion. Zbl 1111.15005Delvaux, Steven; Van Barel, Marc 7 2006 Solving polynomial systems via truncated normal forms. Zbl 1401.65054Telen, Simon; Mourrain, Bernard; Barel, Marc Van 7 2018 A new formal approach to the rational interpolation problem. Zbl 0765.65016Van Barel, Marc; Bultheel, Adhemar 7 1992 Formal orthogonal polynomials and Hankel/Toeplitz duality. Zbl 0867.42012Bultheel, Adhemar; Van Barel, Marc 7 1995 Inversion of a block Löwner matrix. Zbl 0861.15003Van Barel, M.; Vavřín, Z. 7 1996 An algebraic method to solve the minimal partial realization problem for scalar sequences. Zbl 0651.15011van Barel, M.; Bultheel, A. 6 1988 ZEAL: A mathematical software package for computing zeros of analytic functions. Zbl 0955.65033Kravanja, P.; Van Barel, M.; Ragos, O.; Vrahatis, M. N.; Zafiropoulos, F. A. 6 2000 An algorithm for computing the eigenvalues of block companion matrices. Zbl 1260.65024Frederix, Katrijn; Delvaux, Steven; Van Barel, Marc 6 2013 Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059Bini, D. A.; Codevico, G.; Van Barel, M. 6 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 1040.65040Kravanja, Peter; Sakurai, Tetsuya; Sugiura, Hiroshi; Van Barel, Marc 6 2003 Structures preserved by the QR-algorithm. Zbl 1083.65043Delvaux, Steven; Van Barel, Marc 6 2006 A fast block Hankel solver based on an inversion formula for block Loewner matrices. Zbl 0904.65031Kravanja, Peter; Van Barel, Marc 6 1996 A stabilized normal form algorithm for generic systems of polynomial equations. Zbl 1393.13006Telen, Simon; Van Barel, Marc 6 2018 Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. Zbl 1418.65052Van Barel, Marc; Tisseur, Françoise 6 2018 Solving a large dense linear system by adaptive cross approximation. Zbl 1196.65064Frederix, Katrijn; Van Barel, Marc 6 2010 Generalized de la Vallée Poussin approximations on [-1, 1]. Zbl 1366.41008Themistoclakis, Woula; Van Barel, Marc 6 2017 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 A fast Hankel solver based on an inversion formula for Loewner matrices. Zbl 0943.65041Kravanja, Peter; Van Barel, Marc 5 1998 A stabilized superfast solver for indefinite Hankel systems. Zbl 0938.65059Van Barel, Marc; Kravanja, Peter 5 1998 A QR-method for computing the singular values via semiseparable matrices. Zbl 1069.65044Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 5 2004 A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. Zbl 1189.65052Chesnokov, Andrey; van Barel, Marc 5 2010 A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Zbl 1164.65334Codevico, G.; Heinig, G.; Van Barel, M. 5 2005 Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. Zbl 1294.65041Mach, Thomas; Van Barel, Marc; Vandebril, Raf 5 2014 The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Zbl 1334.11025Le, Thanh Hieu; Sorber, Laurent; Van Barel, Marc 5 2013 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023Telen, Simon; Van Barel, Marc; Verschelde, Jan 5 2020 The “look-ahead” philosophy applied to matrix rational interpolation problems. Zbl 1126.41300Van Barel, Marc; Bultheel, Adhemar 5 1994 Adaptive cross approximation for ill-posed problems. Zbl 1416.65565Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. 5 2016 Approximating optimal point configurations for multivariate polynomial interpolation. Zbl 1298.65025van Barel, Marc; Humet, Matthias; Sorber, Laurent 5 2014 A lookahead algorithm for the solution of block Toeplitz systems. Zbl 0885.65028Van Barel, Marc; Bultheel, Adhemar 5 1997 A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Zbl 1102.65032Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 5 2007 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 On computing zeros and poles of meromorphic functions. Zbl 0945.30002Kravanja, Peter; Van Barel, Marc; Haegemans, Ann 4 1999 A note on the recursive calculation of dominant singular subspaces. Zbl 1068.65054Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 4 2005 A superfast method for solving Toeplitz linear least squares problems. Zbl 1044.65033Van Barel, Marc; Heinig, Georg; Kravanja, Peter 4 2003 A numerical solution of the constrained energy problem. Zbl 1086.65063Helsen, S.; Van Barel, M. 4 2006 On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Zbl 1102.65042Vandebril, Raf; Camp, Van Ellen; Van Barel, Marc; Mastronardi, Nicola 4 2006 Rank-deficient submatrices of Kronecker products of Fourier matrices. Zbl 1124.42008Delvaux, Steven; van Barel, Marc 4 2007 A parallel QR-factorization/solver of quasiseparable matrices. Zbl 1171.65017Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 4 2008 Uniform approximation on the sphere by least squares polynomials. Zbl 1435.65033Themistoclakis, Woula; Van Barel, Marc 4 2019 Löwner-based blind signal separation of rational functions with applications. Zbl 1414.94156Debals, Otto; van Barel, Marc; de Lathauwer, Lieven 4 2016 Exact line and plane search for tensor optimization. Zbl 1361.90046Sorber, Laurent; Domanov, Ignat; Van Barel, Marc; De Lathauwer, Lieven 4 2016 Logarithmic residue based methods for computing zeros of analytic functions and related problems. Zbl 0944.65053Kravanja, P.; Van Barel, M.; Haegemans, A. 3 1998 Erratum to: “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”. Zbl 1270.65016Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 3 2013 Sparse spectral clustering method based on the incomplete Cholesky decomposition. Zbl 1252.65075Frederix, Katrijn; Van Barel, Marc 3 2013 Updating and downdating of orthonormal polynomial vectors and some applications. Zbl 1017.42015Van Barel, Marc; Bultheel, Adhemar 3 2001 A fast algorithm for the recursive calculation of dominant singular subspaces. Zbl 1154.65319Mastronardi, N.; Van Barel, M.; Vandebril, R. 3 2008 AQZ-method based on semiseparable matrices. Zbl 1153.65038Vanberghen, Yvette; Vandebril, Raf; Van Barel, Marc 3 2008 Fast computation of determinants of Bézout matrices and application to curve implicitization. Zbl 1154.65030Delvaux, Steven; Marco, Ana; Martínez, José-Javier; Van Barel, Marc 3 2009 Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011 3 2010 An implicit \(Q\) theorem for Hessenberg-like matrices. Zbl 1150.15010Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola 3 2005 A numerical solution of the constrained weighted energy problem. Zbl 1203.65061Chesnokov, Andrey; Deckers, Karl; Van Barel, Marc 3 2010 Unitary rank structured matrices. Zbl 1136.65045Delvaux, Steven; Van Barel, Marc 3 2008 Matrix rational interpolation with poles as interpolation points. Zbl 0803.41006van Barel, M.; Beckermann, B.; Bultheel, A.; Labahn, G. 3 1994 Equivalent polyadic decompositions of matrix multiplication tensors. Zbl 1486.15030Berger, 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 1443.13024Mourrain, Bernard; Telen, Simon; Van Barel, Marc 2 2021 Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder. Zbl 1470.65094Tisseur, Françoise; Van Barel, Marc 1 2021 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023Telen, Simon; Van Barel, Marc; Verschelde, Jan 5 2020 Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers. Zbl 07635852Telen, Simon; Van Barel, Marc; Verschelde, Jan 1 2020 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 Uniform approximation on the sphere by least squares polynomials. Zbl 1435.65033Themistoclakis, Woula; Van Barel, Marc 4 2019 Solving polynomial systems via truncated normal forms. Zbl 1401.65054Telen, Simon; Mourrain, Bernard; Barel, Marc Van 7 2018 A stabilized normal form algorithm for generic systems of polynomial equations. Zbl 1393.13006Telen, Simon; Van Barel, Marc 6 2018 Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. Zbl 1418.65052Van Barel, Marc; Tisseur, Françoise 6 2018 Generalized de la Vallée Poussin approximations on [-1, 1]. Zbl 1366.41008Themistoclakis, Woula; Van Barel, Marc 6 2017 Designing rational filter functions for solving eigenvalue problems by contour integration. Zbl 1386.65115Van Barel, Marc 16 2016 Nonlinear eigenvalue problems and contour integrals. Zbl 1329.65109Van Barel, Marc; Kravanja, Peter 15 2016 Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul 10 2016 Adaptive cross approximation for ill-posed problems. Zbl 1416.65565Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. 5 2016 Löwner-based blind signal separation of rational functions with applications. Zbl 1414.94156Debals, Otto; van Barel, Marc; de Lathauwer, Lieven 4 2016 Exact line and plane search for tensor optimization. Zbl 1361.90046Sorber, Laurent; Domanov, Ignat; 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 1317.65117Le, Thanh Hieu; Van Barel, Marc 1 2015 Numerical solution of bivariate and polyanalytic polynomial systems. Zbl 1302.65135Sorber, Laurent; van Barel, Marc; De Lathauwer, Lieven 9 2014 Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. Zbl 1294.65041Mach, Thomas; Van Barel, Marc; Vandebril, Raf 5 2014 Approximating optimal point configurations for multivariate polynomial interpolation. Zbl 1298.65025van Barel, Marc; Humet, Matthias; Sorber, Laurent 5 2014 Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. Zbl 1293.65065Humet, Matthias; Van Barel, Marc 3 2014 A convex optimization method to solve a filter design problem. Zbl 1291.94023Le, 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 1277.90073Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 38 2013 An algorithm for computing the eigenvalues of block companion matrices. Zbl 1260.65024Frederix, 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 1334.11025Le, Thanh Hieu; Sorber, Laurent; Van Barel, Marc 5 2013 Erratum to: “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”. Zbl 1270.65016Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 3 2013 Sparse spectral clustering method based on the incomplete Cholesky decomposition. Zbl 1252.65075Frederix, Katrijn; Van Barel, Marc 3 2013 Unconstrained optimization of real functions in complex variables. Zbl 1260.90150Sorber, Laurent; Van Barel, Marc; De Lathauwer, Lieven 29 2012 When is the Uvarov transformation positive definite? Zbl 1247.65012Humet, Matthias; Van Barel, Marc 1 2012 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn 16 2010 Solving a large dense linear system by adaptive cross approximation. Zbl 1196.65064Frederix, Katrijn; Van Barel, Marc 6 2010 A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. Zbl 1189.65052Chesnokov, Andrey; van Barel, Marc 5 2010 Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011 3 2010 A numerical solution of the constrained weighted energy problem. Zbl 1203.65061Chesnokov, Andrey; Deckers, Karl; Van Barel, Marc 3 2010 Orthogonal rational functions with real coefficients and semiseparable matrices. Zbl 1178.93065Bultheel, A.; van Gucht, P.; van Barel, M. 2 2010 A multiple shift \(QR\)-step for structured rank matrices. Zbl 1179.65041Vandebril, Raf; van Barel, Marc; Mastronardi, Nicola 2 2010 QR-factorization of displacement structured matrices using a rank structured matrix approach. Zbl 1203.65075Delvaux, Steven; Gemignani, Luca; Van Barel, Marc 2 2010 A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. Zbl 1200.65017Van 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 Fast computation of determinants of Bézout matrices and application to curve implicitization. Zbl 1154.65030Delvaux, 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 1186.65046Vandebril, Raf; Golub, Gene; van Barel, Marc 2 2009 A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. Zbl 1188.65047Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 2 2009 On the computation of the null space of Toeplitz-like matrices. Zbl 1188.65026Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 2 2009 Transforming a hierarchical into a unitary-weight representation. Zbl 1188.65056Delvaux, Steven; Frederix, Katrijn; Van Barel, Marc 1 2009 Matrix computations and semiseparable matrices. Vol. 1: Linear systems. Zbl 1141.65019Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 50 2008 Matrix computations and semiseparable matrices. Vol. 2: Eigenvalue and singular value methods. Zbl 1175.65045Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 30 2008 A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1212.65153Mastronardi, N.; Van Barel, M.; Vandebril, R. 19 2008 A QR-based solver for rank structured matrices. Zbl 1162.65325Delvaux, Steven; van Barel, Marc 13 2008 Eigenvalue computation for unitary rank structured matrices. Zbl 1132.65026Delvaux, Steven; Van Barel, Marc 11 2008 A Givens-weight representation for rank structured matrices. Zbl 1155.65033Delvaux, Steven; van Barel, Marc 10 2008 Rank-deficient submatrices of Fourier matrices. Zbl 1149.42005Delvaux, Steven; Van Barel, Marc 8 2008 A parallel QR-factorization/solver of quasiseparable matrices. Zbl 1171.65017Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 4 2008 A fast algorithm for the recursive calculation of dominant singular subspaces. Zbl 1154.65319Mastronardi, N.; Van Barel, M.; Vandebril, R. 3 2008 AQZ-method based on semiseparable matrices. Zbl 1153.65038Vanberghen, Yvette; Vandebril, Raf; Van Barel, Marc 3 2008 Unitary rank structured matrices. Zbl 1136.65045Delvaux, Steven; Van Barel, Marc 3 2008 Computing a lower bound of the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Zbl 1322.65050Laudadio, Teresa; Mastronardi, Nicola; Van Barel, Marc 2 2008 Rational \(QR\)-iteration without inversion. Zbl 1154.65020Vandebril, 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 1136.65042Mastronardi, N.; Van Barel, M.; Vandebril, R. 1 2008 A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Zbl 1136.65043Plestenjak, Bor; Van Barel, Marc; Van Camp, Ellen 1 2008 A Hessenberg reduction algorithm for rank structured matrices. Zbl 1198.65068Delvaux, Steven; van Barel, Marc 10 2007 A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Zbl 1102.65032Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 5 2007 Rank-deficient submatrices of Kronecker products of Fourier matrices. Zbl 1124.42008Delvaux, Steven; van Barel, Marc 4 2007 Solving linear systems with a Levinson-like solver. Zbl 1171.65366Vandebril, Raf; Mastronardi, Nicola; Van Barel, Marc 1 2007 Rank structures preserved by the \(QR\)-algorithm: the singular case. Zbl 1090.65044Delvaux, 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 1086.65040Vandebril, Raf; Van Camp, Ellen; Van Barel, Marc; Mastronardi, Nicola 8 2006 Structures preserved by matrix inversion. Zbl 1111.15005Delvaux, Steven; Van Barel, Marc 7 2006 Structures preserved by the QR-algorithm. Zbl 1083.65043Delvaux, Steven; Van Barel, Marc 6 2006 A numerical solution of the constrained energy problem. Zbl 1086.65063Helsen, S.; Van Barel, M. 4 2006 On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Zbl 1102.65042Vandebril, Raf; Camp, Van Ellen; Van Barel, Marc; Mastronardi, Nicola 4 2006 A note on the nullity theorem. Zbl 1090.65038Vandebril, Raf; Van Barel, Marc 2 2006 On computing the eigenvectors of a class of structured matrices. Zbl 1086.65035Mastronardi, N.; Van Barel, M.; Van Camp, E.; Vandebril, R. 2 2006 Structures preserved by Schur complementation. Zbl 1111.15006Delvaux, Steven; Van Barel, Marc 2 2006 Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoli(Lanczos)-Ritz values. Zbl 1093.65038Vandebril, Raf; Van Barel, Marc 1 2006 A note on the representation and definition of semiseparable matrices. Zbl 1164.15341Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 32 2005 A bibliography on semiseparable matrices. Zbl 1168.15312Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 25 2005 An implicit \(QR\) algorithm for symmetric semiseparable matrices. Zbl 1164.65368Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 24 2005 An orthogonal similarity reduction of a matrix into semiseparable form. Zbl 1089.65032Van Barel, M.; Vandebril, R.; Mastronardi, N. 22 2005 Orthogonal rational functions and structured matrices. Zbl 1071.42015Van 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 1105.65035Mastronardi, N.; Van Camp, E; Van Barel, M. 10 2005 Convergence of the isometric Arnoldi process. Zbl 1082.65038Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M. 8 2005 A bibliography on semiseparable matrices. Zbl 1168.15306Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola 8 2005 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Zbl 1164.65334Codevico, G.; Heinig, G.; Van Barel, M. 5 2005 A note on the recursive calculation of dominant singular subspaces. Zbl 1068.65054Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf 4 2005 An implicit \(Q\) theorem for Hessenberg-like matrices. Zbl 1150.15010Van Barel, Marc; Vandebril, Raf; Mastronardi, Nicola 3 2005 Generalizations of orthogonal polynomials. Zbl 1068.42021Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 2 2005 A Lanczos-like reduction of symmetric structured matrices to semiseparable form. Zbl 1150.65010Mastronardi, Nicola; Schuermans, M.; Van Barel, Marc; Vandebril, Raf; Van Huffel, S. 2 2005 Orthonormal rational function vectors. Zbl 1071.65013Delvaux, Steven; Van Barel, Marc 1 2005 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 Iterative inversion of structured matrices. Zbl 1059.65032Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 Two fast algorithms for solving diagonal-plus-semiseparable linear systems. Zbl 1038.65025Van Camp, Ellen; Mastronardi, Nicola; Van Barel, Marc 9 2004 A QR-method for computing the singular values via semiseparable matrices. Zbl 1069.65044Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 5 2004 On computing the spectral decomposition of symmetric arrowhead matrices. Zbl 1127.65315Diele, 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 1139.65307Sakurai, 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 1039.65033Fasino, Dario; Mastronardi, Nicola; Van Barel, Marc 9 2003 Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059Bini, D. A.; Codevico, G.; Van Barel, M. 6 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 1040.65040Kravanja, Peter; Sakurai, Tetsuya; Sugiura, Hiroshi; Van Barel, Marc 6 2003 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 927 Authors 81 Van Barel, Marc 34 Vandebril, Raf 30 Bultheel, Adhemar François 21 Pan, Victor Yakovlevich 20 Gemignani, Luca 12 Delvaux, Steven 12 Mastronardi, Nicola 12 Robol, Leonardo 11 De Lathauwer, Lieven 10 Beckermann, Bernhard 10 Bini, Dario Andrea 10 Eidelman, Yuli 10 Sakurai, Tetsuya 9 Del Corso, Gianna M. 9 Dopico, Froilán M. 8 Gohberg, Israel 8 Heinig, Georg 8 Van Dooren, Paul M. 7 Bevilacqua, Roberto 7 Domanov, Ignat 7 Kravanja, Peter 7 Lepschy, Antonio 7 Mach, Thomas 7 Mian, Gian Antonio 7 Neiger, Vincent 7 Reichel, Lothar 7 Viaro, Umberto 6 Cruz-Barroso, Ruymán 6 Labahn, George 6 Massei, Stefano 6 Petković, Miodrag S. 6 Telen, Simon 6 Themistoclakis, Woula 6 Xia, Jianlin 5 Le, Thanh Hieu 5 Li, Xiaoye Sherry 5 Mourrain, Bernard 5 Noferini, Vanni 5 Rosholt, Rhys Eric 5 Schost, Éric 5 Van Camp, Ellen 5 Vannieuwenhoven, Nick 5 Vavřín, Zdeněk 4 Aguirre, Luis Antonio 4 Aurentz, Jared Lee 4 Cuyt, Annie A. M. 4 Deckers, Karl 4 Du, Lei 4 Gu, Chuanqing 4 Güttel, Stefan 4 Huang, Rong 4 Hwang, Chyi 4 Imakura, Akira 4 Jia, Jiteng 4 Kressner, Daniel 4 Marcellán Español, Francisco 4 Murphy, Brian J. 4 Njåstad, Olav 4 Occorsio, Donatella 4 Olshevsky, Vadim 4 Rost, Karla 4 Sugiura, Hiroshi 4 Tang, Yuqing 4 Tisseur, Françoise 4 Verdonk, Brigitte M. 4 Watkins, David S. 4 Wei, Yimin 4 Xi, Yuanzhe 4 Zheng, Ailong 3 Abderramán Marrero, J. 3 Belhaj, Skander 3 Breiding, Paul 3 Chen, Gongning 3 Chesnokov, Andrey A. 3 Díaz-Mendoza, Carlos 3 Driver, Kathy A. 3 Frederix, Katrijn 3 Ghysels, Pieter 3 González-Concepción, Concepción 3 Gutknecht, Martin H. 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 Meerbergen, Karl 3 Mohlenkamp, Martin J. 3 Nakatsukasa, Yuji 3 Oomen, Tom 3 Palitta, Davide 3 Pérez, Javier J. 3 Pernet, Clément 3 Petković, Ljiljana D. 3 Pozza, Stefano 3 Qian, Guoliang 3 Rouet, François-Henry ...and 827 more Authors all top 5 Cited in 138 Serials 98 Journal of Computational and Applied Mathematics 85 Linear Algebra and its Applications 40 Numerical Algorithms 39 SIAM Journal on Matrix Analysis and Applications 25 SIAM Journal on Scientific Computing 21 Applied Mathematics and Computation 18 Computers & Mathematics with Applications 17 Numerische Mathematik 13 Mathematics of Computation 10 Journal of the Franklin Institute 10 Calcolo 10 Journal of Approximation Theory 10 Journal of Symbolic Computation 9 Applied Numerical Mathematics 8 Journal of Computational Physics 7 International Journal of Systems Science 6 Journal of Scientific Computing 5 International Journal of Control 5 Linear and Multilinear Algebra 5 Automatica 5 BIT 4 Theoretical Computer Science 4 Journal of Complexity 4 Multidimensional Systems and Signal Processing 4 Applied and Computational Harmonic Analysis 4 Numerical Linear Algebra with Applications 4 ETNA. 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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 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 Journal of Optimization Theory and Applications 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. 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Series B 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Experimental Mathematics ...and 38 more Serials all top 5 Cited in 48 Fields 449 Numerical analysis (65-XX) 211 Linear and multilinear algebra; matrix theory (15-XX) 94 Approximations and expansions (41-XX) 58 Systems theory; control (93-XX) 42 Computer science (68-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 34 Functions of a complex variable (30-XX) 29 Operations research, mathematical programming (90-XX) 28 Partial differential equations (35-XX) 25 Operator theory (47-XX) 22 Special functions (33-XX) 19 Algebraic geometry (14-XX) 18 Commutative algebra (13-XX) 17 Ordinary differential equations (34-XX) 17 Information and communication theory, circuits (94-XX) 13 Field theory and polynomials (12-XX) 13 Real functions (26-XX) 11 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 10 Number theory (11-XX) 10 Statistics (62-XX) 10 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Fluid mechanics (76-XX) 7 Biology and other natural sciences (92-XX) 6 Combinatorics (05-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-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 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