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Author ID: van-barel.marc Recent zbMATH articles by "Van Barel, Marc"
Published as: Van Barel, Marc; Van Barel, M.; van Barel, Marc; van Barel, M.; Barel, Marc Van
Homepage: https://people.cs.kuleuven.be/~marc.vanbarel/drupal_v07/
External Links: MGP · Google Scholar · dblp
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.

Publications by Year

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
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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
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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
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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)
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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)
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