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Van Dooren, Paul M.

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Author ID: van-dooren.paul-m Recent zbMATH articles by "Van Dooren, Paul M."
Published as: Van Dooren, Paul; Van Dooren, P.; van Dooren, Paul; van Dooren, P.; van Dooren, Paul M.; Van Dooren, P. M.; Van Dooren, Paul M.
Homepage: http://perso.uclouvain.be/paul.vandooren/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 208 Publications since 1976, including 8 Books
Biographic References: 1 Publication
all top 5

Co-Authors

18 single-authored
22 Gallivan, Kyle A.
17 Mastronardi, Nicola
9 Absil, Pierre-Antoine
9 Dopico, Froilán M.
7 Chahlaoui, Younes
7 Grimme, Eric
7 Vandendorpe, Antoine
7 Verhaegen, Michel
6 Nesterov, Yurii
6 Silverman, Leonard M.
5 Beelen, Theo G. J.
5 Blondel, Vincent D.
5 Golub, Gene Howard
5 Kågström, Bo
5 Moonen, Marc S.
5 Stewart, Michael
5 Vandewalle, Joos P.
4 Bouagada, Djillali
4 Charlier, J.-P.
4 de Kerchove, Cristobald
4 Dewilde, Patrick M.
4 Genin, Y.
4 Ho, Ngoc-Diep
4 Mehrmann, Volker
4 Melchior, Samuel A.
4 Sreedhar, J.
3 Bojanczyk, Adam W.
3 De Moor, Bart L. R.
3 de Terán, Fernando
3 Fraikin, Catherine
3 Hachez, Yvan
3 Kailath, Thomas
3 Kautsky, Jaroslav
3 Laudadio, Teresa
3 Nichols, Nancy K.
3 Pérez, Javier J.
3 Shokoohi, Shahriar
3 Stefan, Radu Andrei
3 Thirumalai, Srikanth
3 Van Barel, Marc
3 Van der Vorst, Henk Albertus
3 Vandebril, Raf
3 Xu, Shengyuan
2 Bart, Harm
2 Bastin, Georges
2 Cason, T. P.
2 Delvenne, Jean-Charles
2 Emami-Naeini, Abbas
2 Hadjidimos, Apostolos
2 Haut, Bertrand
2 Lawrence, Piers W.
2 Legat, Vincent
2 Lemonnier, Damien
2 Mahony, Robert E.
2 Misra, Pradeep
2 Ninove, Laure
2 Paige, Christopher C.
2 Sepulchre, Rodolphe J.
2 Sølna, Knut
2 Sorensen, Danny C.
2 Suykens, Johan A. K.
2 Tits, André L.
2 Trefois, Maguy
2 Van Gestel, Tony
2 Van Huffel, Sabine
2 Vanbegin, Michel
2 Varga, Andras
2 Verghese, George C.
1 Baker, C. G.
1 Bankmann, Daniel
1 Beattie, Christopher A.
1 Benner, Peter
1 Benyettou, Kamel
1 Bhattacharyya, Shankar Prashad
1 Björck, Åke
1 Boley, Daniel L.
1 Bouagada, Djilali
1 Brandts, Jan H.
1 Brent, Richard Peirce
1 Browet, Arnaud
1 Camps, Daan
1 Chan, Raymond Hon-Fu
1 Chu, Delin
1 de Hoog, Frank Robert
1 de Ridder, Luc
1 Delosme, Jean-Marc
1 Delsarte, Philippe
1 Dmytryshyn, Andrii R.
1 Elosmani, Aissa Omar
1 Ewerbring, L. Magnus
1 Fan, Hung-Yuan
1 Fletcher, Leslie R.
1 Frederix, Katrijn
1 Freitag, Melina A.
1 Gajardo, Anahí
1 Genin, Yves V.
1 Glineur, François
1 Goethals, Ivan
1 Gohberg, Israel
1 Goyal, Pawan
...and 46 more Co-Authors
all top 5

Serials

34 Linear Algebra and its Applications
30 SIAM Journal on Matrix Analysis and Applications
10 Journal of Computational and Applied Mathematics
8 Automatica
8 IEEE Transactions on Automatic Control
8 Systems & Control Letters
5 Applied Mathematics Letters
4 International Journal of Control
4 Numerische Mathematik
4 SIAM Journal on Scientific and Statistical Computing
3 BIT
3 Numerical Algorithms
2 ACM Transactions on Mathematical Software
2 IEEE Transactions on Circuits and Systems
2 Applied Numerical Mathematics
2 Signal Processing
2 SIAM Review
2 Numerical Linear Algebra with Applications
1 IMA Journal of Numerical Analysis
1 International Journal for Numerical Methods in Fluids
1 Philips Journal of Research
1 Mathematics of Computation
1 Integral Equations and Operator Theory
1 Journal A
1 SIAM Journal on Control and Optimization
1 Insurance Mathematics & Economics
1 Circuits, Systems, and Signal Processing
1 MCSS. Mathematics of Control, Signals, and Systems
1 Computational Mathematics and Mathematical Physics
1 International Journal of Robust and Nonlinear Control
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 ETNA. Electronic Transactions on Numerical Analysis
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Foundations of Computational Mathematics
1 Advances in Parallel Computing
1 The IMA Volumes in Mathematics and its Applications
1 NATO ASI Series. Series F. Computer and Systems Sciences
1 Axioms
1 Lecture Notes in Electrical Engineering
1 SIAM Journal on Mathematics of Data Science

Publications by Year

Citations contained in zbMATH Open

166 Publications have been cited 2,396 times in 1,714 Documents Cited by Year
The computation of Kronecker’s canonical form of a singular pencil. Zbl 0416.65026
van Dooren, P.
174
1979
Robust stability and stabilization for singular systems with state delay and parameter uncertainty. Zbl 1364.93723
Xu, Shengyuan; Van Dooren, Paul; Ştefan, Radu; Lam, James
170
2002
Robust pole assignment in linear state feedback. Zbl 0567.93036
Kautsky, J.; Nichols, N. K.; van Dooren, P.
125
1985
The generalized eigenstructure problem in linear system theory. Zbl 0462.93013
van Dooren, Paul M.
119
1981
A generalized eigenvalue approach for solving Riccati equations. Zbl 0463.65024
van Dooren, P.
82
1981
Properties of the system matrix of a generalized state-space system. Zbl 0418.93016
Verghese, G.; van Dooren, P.; Kailath, T.
67
1979
The eigenstructure of an arbitrary polynomial matrix: Computational aspects. Zbl 0507.65008
van Dooren, Paul; Dewilde, Patrick
58
1983
A rational Lanczos algorithm for model reduction. Zbl 0870.65053
Gallivan, K.; Grimme, E.; Van Dooren, P.
51
1996
Model reduction of MIMO systems via tangential interpolation. Zbl 1078.41016
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
48
2004
An improved algorithm for the computation of Kronecker’s canonical form of a singular pencil. Zbl 0645.65022
Beelen, Th.; Van Dooren, P.
42
1988
Factorizations of transfer functions. Zbl 0458.93018
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Van Dooren, P.
41
1980
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P.
40
1996
Asymptotic waveform evaluation via a Lanczos method. Zbl 0810.65067
Gallivan, K.; Grimme, E.; Van Dooren, P.
40
1994
Benchmark examples for model reduction of linear time-invariant dynamical systems. Zbl 1100.93006
Chahlaoui, Younes; Van Dooren, Paul
35
2005
Computation of zeros of linear multivariable systems. Zbl 0484.93029
Emami-Naeini, A.; van Dooren, P.
35
1982
Robust \(H_\infty\) filtering for a class of nonlinear systems with state delay and parameter uncertainty. Zbl 1010.93101
Xu, Shengyuan; Van Dooren, Paul
35
2002
Linear time-variable systems: Balancing and model reduction. Zbl 0517.93014
Shokoohi, Shahriar; Silverman, Leonard M.; van Dooren, Paul M.
30
1983
On Sigma-lossless transfer functions and related questions. Zbl 0528.93039
Genin, Yves; van Dooren, Paul; Kailath, Tom; Delosme, Jean-Marc; Morf, Martin
28
1983
Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Zbl 1004.65045
Higham, Nicholas J.; Tisseur, Françoise; Van Dooren, Paul M.
28
2002
Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094
Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul
28
2018
\(\mathcal H_2\)-optimal model reduction of MIMO systems. Zbl 1182.93034
van Dooren, P.; Gallivan, K. A.; Absil, P.-A.
28
2008
Optimization problems over positive pseudopolynomial matrices. Zbl 1055.90058
Genin, Y.; Hachez, Y.; Nesterov, Yu.; Van Dooren, P.
25
2003
Sylvester equations and projection-based model reduction. Zbl 1044.65054
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
24
2004
Numerical aspects of different Kalman filter implementations. Zbl 0601.93053
Verhaegen, Michel; van Dooren, Paul
24
1986
A measure of similarity between graph vertices: Applications to synonym extraction and web searching. Zbl 1055.05099
Blondel, Vincent D.; Gajardo, Anahí; Heymans, Maureen; Senellart, Pierre; Van Dooren, Paul
24
2004
A reduced order observer for descriptor systems. Zbl 0598.93006
Verhaegen, M. H.; van Dooren, P.
23
1986
An implicit shift bidiagonalization algorithm for ill-posed systems. Zbl 0821.65023
Björck, Åke; Grimme, Eric; van Dooren, Paul
23
1994
Second-order balanced truncation. Zbl 1102.93008
Chahlaoui, Y.; Lemonnier, D.; Vandendorpe, A.; Van Dooren, P.
21
2006
On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion. Zbl 0395.93016
van Dooren, Paul M.; Dewilde, Patrick; Vandewalle, Joos
21
1979
Normwise scaling of second order polynomial matrices. Zbl 1088.15010
Fan, Hung-Yuan; Lin, Wen-Wei; Van Dooren, Paul
20
2004
Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021
De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul
19
2015
High performance algorithms for Toeplitz and block Toeplitz matrices. Zbl 0859.65017
Gallivan, K. A.; Thirumalai, S.; Van Dooren, P.; Vermaut, V.
19
1996
A note on downdating the Cholesky factorization. Zbl 0617.65013
Bojanczyk, A. W.; Brent, R. P.; van Dooren, P.; de Hoog, F. R.
18
1987
A framework for structured linearizations of matrix polynomials in various bases. Zbl 1365.15028
Robol, Leonardo; Vandebril, Raf; Van Dooren, Paul
18
2017
Stratification of full rank polynomial matrices. Zbl 1281.15019
Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
17
2013
On the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0621.65031
Paige, C. C.; Van Dooren, P.
17
1986
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
17
2002
Jacobi algorithm for the best low multilinear rank approximation of symmetric tensors. Zbl 1273.15031
Ishteva, Mariya; Absil, P.-A.; Van Dooren, Paul
17
2013
Reducing subspaces: definitions, properties and algorithms. Zbl 0517.65022
van Dooren, Paul
16
1983
A fast algorithm to compute the real structured stability radius. Zbl 0872.93027
Sreedhar, J.; Van Dooren, Paul; Tits, André L.
16
1996
Reduced order observers: A new algorithm and proof. Zbl 0542.93018
van Dooren, Paul
15
1984
Rational and polynomial matrix factorizations via recursive pole-zero cancellation. Zbl 0709.15011
Van Dooren, P.
15
1990
Gramian based model reduction of large-scale dynamical systems. Zbl 0952.65051
Van Dooren, P. M.
15
2000
Periodic descriptor systems: Solvability and conditionability. Zbl 0958.93061
Sreedhar, J.; Van Dooren, Paul
15
1999
Low-rank incremental methods for computing dominant singular subspaces. Zbl 1241.65036
Baker, C. G.; Gallivan, K. A.; Van Dooren, P.
15
2012
Generalizations of the singular value and QR decompositions. Zbl 0764.65014
de Moor, Bart; van Dooren, Paul
14
1992
Stability issues in the factorization of structured matrices. Zbl 0884.65023
Stewart, Michael; Van Dooren, Paul
14
1997
Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076
Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn
14
2010
Nearest stable system using successive convex approximations. Zbl 1319.93062
Orbandexivry, Francois-Xavier; Nesterov, Yurii; Van Dooren, Paul
13
2013
A singular value decomposition updating algorithm for subspace tracking. Zbl 0759.65017
Moonen, Marc; van Dooren, Paul; Vandewalle, Joos
12
1992
Deadbeat control: A special inverse eigenvalue problem. Zbl 0549.93019
van Dooren, P.
12
1984
On efficient implementations of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0617.65032
Charlier, J. P.; Vanbegin, M.; Van Dooren, P.
12
1988
On Kogbetliantz’s SVD algorithm in the presence of clusters. Zbl 0627.65037
Charlier, J.-P.; Van Dooren, P.
12
1987
Speech modelling and the trigonometric moment problem. Zbl 0522.94005
Delsarte, Ph.; Genin, Y.; Kamp, Y.; van Dooren, P.
12
1982
An adaptive algorithm for numerical integration over an \(n\)-dimensional cube. Zbl 0334.65024
van Dooren, Paul; de Ridder, Luc
12
1976
Real and complex stability radii of polynomial matrices. Zbl 1004.15019
Genin, Y.; Ştefan, R.; Van Dooren, P.
12
2002
Periodic Schur form and some matrix equations. Zbl 0805.93035
Sreedhar, J.; Van Dooren, P.
12
1994
When is a periodic discrete-time system equivalent to a time-invariant one? Zbl 1035.93505
Van Dooren, Paul; Sreedhar, J.
12
1994
On the parameterization of the CreditRisk\(^+\) model for estimating credit portfolio risk. Zbl 1152.91608
Vandendorpe, Antoine; Ho, Ngoc-Diep; Vanduffel, Steven; Van Dooren, Paul
12
2008
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
12
2004
Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul
11
2016
Positivity and linear matrix inequalities. Zbl 1293.93596
Genin, Y.; Hachez, Y.; Nesterov, Yu.; Ştefan, R.; Van Dooren, P.; Xu, S.
11
2002
Model reduction of second-order systems. Zbl 1079.65531
Chahlaoui, Younes; Gallivan, Kyle A.; Vandendorpe, Antoine; Van Dooren, Paul
11
2005
An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects. Zbl 0901.93007
Oară, C.; Van Dooren, P.
11
1997
Identification of stable models in subspace identification by using regularization. Zbl 1004.93010
Van Gestel, T.; Suykens, J. A. K.; Van Dooren, P.; De Moor, B.
11
2001
Computation of structural invariants of generalized state-space systems. Zbl 0816.93040
Misra, Pradeep; Van Dooren, Paul; Varga, Andras
11
1994
Computing the zeros of periodic descriptor systems. Zbl 1157.93379
Varga, Andras; Van Dooren, Paul
11
2003
Factorization of a rational matrix: The singular case. Zbl 0553.47010
van Dooren, Paul
11
1984
\({\mathcal H}_2\)-optimal model reduction with higher-order poles. Zbl 1215.41002
van Dooren, Paul; Gallivan, Kyle A.; Absil, P.-A.
10
2010
Recursive calculation of dominant singular subspaces. Zbl 1051.65047
Chahlaoui, Y.; Gallivan, K.; Van Dooren, P.
10
2003
A pencil approach for embedding a polynomial matrix into a unimodular matrix. Zbl 0646.65041
Beelen, Th.; van Dooren, P.
10
1988
Computing the SVD of a general matrix product/quotient. Zbl 0969.65032
Golub, Gene; Sølna, Knut; Van Dooren, Paul
9
2000
The antitriangular factorization of symmetric matrices. Zbl 1272.65031
Mastronardi, Nicola; van Dooren, Paul
9
2013
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
9
2019
Identification of positive real models in subspace identification by using regularization. Zbl 1364.93828
Goethals, Ivan; Van Gestel, Tony; Suykens, Johan; Van Dooren, Paul; De Moor, Bart
9
2003
On the stability of 2D state-space models. Zbl 1289.93097
Bouagada, Djillali; Van Dooren, Paul
8
2013
Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101
Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul
8
2016
DSUBSP and EXCHQZ: Fortran subroutines for computing deflating subspaces with specified spectrum. Zbl 0503.65020
Van Dooren, P.
8
1982
Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015
Dopico, Froilán M.; Pérez, Javier; van Dooren, Paul
8
2019
An accurate product SVD algorithm. Zbl 0739.65032
Bojanczyk, Adam W.; Ewerbring, L. Magnus; Luk, Franklin T.; Van Dooren, Paul
8
1991
Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044
De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul
7
2016
Model reduction via truncation: An interpolation point of view. Zbl 1046.93007
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
7
2003
Maximizing PageRank via outlinks. Zbl 1147.68387
de Kerchove, Cristobald; Ninove, Laure; van Dooren, Paul
7
2008
A novel numerical method for exact model matching problem with stability. Zbl 1130.93332
Chu, Delin; Van Dooren, Paul
7
2006
Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161
Freitag, Melina A.; Spence, Alastair; van Dooren, Paul
6
2014
Minimal cascade factorization of real and complex rational transfer matrices. Zbl 0458.94052
van Dooren, Paul M.; Dewilde, Patrick
6
1981
Placing zeroes and the Kronecker canonical form. Zbl 0817.93027
Boley, Daniel L.; van Dooren, Paul
6
1994
Some numerical challenges in control theory. Zbl 0811.93003
van Dooren, Paul
6
1994
A fast algorithm for the computation of an upper bound on the \(\mu\)-norm. Zbl 0981.93016
Lawrence, Craig T.; Tits, André L.; Van Dooren, Paul
6
2000
Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067
Mehrmann, Volker; Van Dooren, Paul M.
6
2020
An algorithm for solving the indefinite least squares problem with equality constraints. Zbl 1290.65033
Mastronardi, Nicola; Van Dooren, Paul
5
2014
A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints. Zbl 1309.65068
Mastronardi, Nicola; van Dooren, Paul
5
2015
Balancing regular matrix pencils. Zbl 1114.15008
Lemonnier, Damien; Van Dooren, Paul
5
2006
On the pseudo-inverse of the Laplacian of a bipartite graph. Zbl 1080.05059
Ho, Ngoc-Diep; Van Dooren, Paul
5
2005
Numerical linear algebra techniques for systems and control. Selected reprints. Zbl 0925.93005
Patel, Rajni V. (ed.); Laub, Alan J. (ed.); Van Dooren, Paul M. (ed.)
5
1994
Optimizing the coupling between two isometric projections of matrices. Zbl 1158.15028
Fraikin, Catherine; Nesterov, Yurii; Van Dooren, Paul
5
2008
Iterative methods for low rank approximation of graph similarity matrices. Zbl 1264.65060
Cason, T. P.; Absil, P.-A.; Van Dooren, P.
5
2013
Non-negative matrix factorization with fixed row and column sums. Zbl 1148.15010
Ho, Ngoc-Diep; van Dooren, Paul
5
2008
Model reduction of time-varying systems. Zbl 1080.93004
Chahlaoui, Younes; Van Dooren, Paul
4
2005
Properties of the system matrix of a generalized state-space system. Zbl 0446.93004
Van Dooren, P.; Verghese, G.; Kailath, T.
4
1979
Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067
Mehrmann, Volker; Van Dooren, Paul M.
6
2020
Swapping \(2 \times 2\) blocks in the Schur and generalized Schur form. Zbl 07193273
Camps, Daan; Mastronardi, Nicola; Vandebril, Raf; Van Dooren, Paul
1
2020
Geometry of matrix polynomial spaces. Zbl 1444.15007
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
1
2020
Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. Zbl 1453.65076
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul
1
2020
Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063
Benner, Peter; Goyal, Pawan; Van Dooren, Paul
1
2020
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
9
2019
Structured backward error analysis of linearized structured polynomial eigenvalue problems. Zbl 1408.65015
Dopico, Froilán M.; Pérez, Javier; van Dooren, Paul
8
2019
Block minimal bases \(\ell\)-ifications of matrix polynomials. Zbl 1404.65020
Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul
4
2019
On computing eigenvectors of symmetric tridiagonal matrices. Zbl 07215840
Mastronardi, Nicola; Taeter, Harold; van Dooren, Paul
1
2019
Block Kronecker linearizations of matrix polynomials and their backward errors. Zbl 1416.65094
Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul
28
2018
Robustness and perturbations of minimal bases. Zbl 1415.15003
Van Dooren, Paul; Dopico, Froilán M.
3
2018
The \(QR\) steps with perfect shifts. Zbl 1402.65024
Mastronardi, Nicola; van Dooren, Paul
1
2018
A framework for structured linearizations of matrix polynomials in various bases. Zbl 1365.15028
Robol, Leonardo; Vandebril, Raf; Van Dooren, Paul
18
2017
Computing the Jordan structure of an eigenvalue. Zbl 1373.65025
Mastronardi, Nicola; van Dooren, Paul
2
2017
Sparse matrix factorizations for fast linear solvers with application to Laplacian systems. Zbl 1367.65041
Schaub, Michael T.; Trefois, Maguy; van Dooren, Paul; Delvenne, Jean-Charles
2
2017
Numerical issues in computing the antitriangular factorization of symmetric indefinite matrices. Zbl 1372.65092
Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul
1
2017
Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials. Zbl 1327.15022
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven; van Dooren, Paul
11
2016
Backward error analysis of polynomial eigenvalue problems solved by linearization. Zbl 1382.65101
Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul
8
2016
Constructing strong \(\ell\)-ifications from dual minimal bases. Zbl 1333.65044
De Terán, Fernando; Dopico, Froilán M.; Van Dooren, Paul
7
2016
Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications. Zbl 1382.65107
Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul
1
2016
Rank-revealing decomposition of symmetric indefinite matrices via block anti-triangular factorization. Zbl 1336.65072
Mastronardi, Nicola; Van Dooren, Paul
1
2016
Matrix polynomials with completely prescribed eigenstructure. Zbl 1315.15021
De Terán, Fernando; Dopico, Froilán M.; van Dooren, Paul
19
2015
A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints. Zbl 1309.65068
Mastronardi, Nicola; van Dooren, Paul
5
2015
Computing the regularization of a linear differential-algebraic system. Zbl 1325.93028
Berger, Thomas; Van Dooren, Paul
3
2015
Revisiting the stability of computing the roots of a quadratic polynomial. Zbl 1312.65074
Mastronardi, Nicola; Van Dooren, Paul
3
2015
Calculating the \(H_{\infty}\)-norm using the implicit determinant method. Zbl 1305.65161
Freitag, Melina A.; Spence, Alastair; van Dooren, Paul
6
2014
An algorithm for solving the indefinite least squares problem with equality constraints. Zbl 1290.65033
Mastronardi, Nicola; Van Dooren, Paul
5
2014
Model reduction of linear time-varying systems over finite horizons. Zbl 1302.39003
Melchior, Samuel A.; Van Dooren, Paul; Gallivan, Kyle A.
3
2014
Stratification of full rank polynomial matrices. Zbl 1281.15019
Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
17
2013
Jacobi algorithm for the best low multilinear rank approximation of symmetric tensors. Zbl 1273.15031
Ishteva, Mariya; Absil, P.-A.; Van Dooren, Paul
17
2013
Nearest stable system using successive convex approximations. Zbl 1319.93062
Orbandexivry, Francois-Xavier; Nesterov, Yurii; Van Dooren, Paul
13
2013
The antitriangular factorization of symmetric matrices. Zbl 1272.65031
Mastronardi, Nicola; van Dooren, Paul
9
2013
On the stability of 2D state-space models. Zbl 1289.93097
Bouagada, Djillali; Van Dooren, Paul
8
2013
Iterative methods for low rank approximation of graph similarity matrices. Zbl 1264.65060
Cason, T. P.; Absil, P.-A.; Van Dooren, P.
5
2013
Multimesh \(\mathcal{H}_2\)-optimal model reduction for discretized PDEs. Zbl 1267.65136
Melchior, S. A.; Legat, V.; Van Dooren, P.
1
2013
Low-rank incremental methods for computing dominant singular subspaces. Zbl 1241.65036
Baker, C. G.; Gallivan, K. A.; Van Dooren, P.
15
2012
Recursive approximation of the dominant eigenspace of an indefinite matrix. Zbl 1246.65061
Mastronardi, Nicola; Van Dooren, Paul
4
2012
State space solution of implicit fractional continuous time systems. Zbl 1281.34007
Bouagada, Djillali; Van Dooren, Paul
4
2012
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
2
2012
Descent methods for nonnegative matrix factorization. Zbl 1251.65049
Ho, Ngoc-Diep; Van Dooren, Paul; Blondel, Vincent D.
3
2011
Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. Zbl 1220.65005
Van Dooren, Paul; Bhattacharyya, Shankar P.; Chan, Raymond H.; Olshevsky, Vadim; Routray, Aurobinda
1
2011
Implicit double shift \(QR\)-algorithm for companion matrices. Zbl 1196.65076
Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul; Frederix, Katrijn
14
2010
\({\mathcal H}_2\)-optimal model reduction with higher-order poles. Zbl 1215.41002
van Dooren, Paul; Gallivan, Kyle A.; Absil, P.-A.
10
2010
A fast algorithm for updating and downsizing the dominant kernel principal components. Zbl 1209.65045
Mastronardi, Nicola; Tyrtyshnikov, Eugene E.; Van Dooren, Paul
1
2010
Two-sided Grassmann-Rayleigh quotient iteration. Zbl 1188.65038
Absil, P.-A.; Van Dooren, P.
1
2010
Iterative filtering in reputation systems. Zbl 1198.91065
De Kerchove, Cristobald; Van Dooren, Paul
1
2010
Reputation systems and nonnegativity. Zbl 1183.91040
De Kerchove, Cristobald; Van Dooren, Paul
1
2009
\(\mathcal H_2\)-optimal model reduction of MIMO systems. Zbl 1182.93034
van Dooren, P.; Gallivan, K. A.; Absil, P.-A.
28
2008
On the parameterization of the CreditRisk\(^+\) model for estimating credit portfolio risk. Zbl 1152.91608
Vandendorpe, Antoine; Ho, Ngoc-Diep; Vanduffel, Steven; Van Dooren, Paul
12
2008
Maximizing PageRank via outlinks. Zbl 1147.68387
de Kerchove, Cristobald; Ninove, Laure; van Dooren, Paul
7
2008
Optimizing the coupling between two isometric projections of matrices. Zbl 1158.15028
Fraikin, Catherine; Nesterov, Yurii; Van Dooren, Paul
5
2008
Non-negative matrix factorization with fixed row and column sums. Zbl 1148.15010
Ho, Ngoc-Diep; van Dooren, Paul
5
2008
Model reduction of interconnected systems. Zbl 1154.93325
Vandendorpe, Antoine; Van Dooren, Paul
4
2008
A gradient-type algorithm optimizing the coupling between matrices. Zbl 1145.65029
Fraikin, Catherine; Nesterov, Yurii; van Dooren, Paul
2
2008
Calculating the \(\mathcal H_{\infty}\)-norm of large sparse systems via chandrasekhar iterations and extrapolation. Zbl 1359.93134
Chahlaoui, Younes; Gallivan, Kyle A.; Van Dooren, Paul
1
2007
Second-order balanced truncation. Zbl 1102.93008
Chahlaoui, Y.; Lemonnier, D.; Vandendorpe, A.; Van Dooren, P.
21
2006
A novel numerical method for exact model matching problem with stability. Zbl 1130.93332
Chu, Delin; Van Dooren, Paul
7
2006
Balancing regular matrix pencils. Zbl 1114.15008
Lemonnier, Damien; Van Dooren, Paul
5
2006
Singular Riccati equations stabilizing large-scale systems. Zbl 1099.93005
Gallivan, K.; Rao, X.; Van Dooren, P.
3
2006
On the factorization of hyperbolic and unitary transformations into rotations. Zbl 1098.15006
Stewart, Michael; Van Dooren, Paul
2
2006
Benchmark examples for model reduction of linear time-invariant dynamical systems. Zbl 1100.93006
Chahlaoui, Younes; Van Dooren, Paul
35
2005
Model reduction of second-order systems. Zbl 1079.65531
Chahlaoui, Younes; Gallivan, Kyle A.; Vandendorpe, Antoine; Van Dooren, Paul
11
2005
On the pseudo-inverse of the Laplacian of a bipartite graph. Zbl 1080.05059
Ho, Ngoc-Diep; Van Dooren, Paul
5
2005
Model reduction of time-varying systems. Zbl 1080.93004
Chahlaoui, Younes; Van Dooren, Paul
4
2005
Model reduction of MIMO systems via tangential interpolation. Zbl 1078.41016
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
48
2004
Sylvester equations and projection-based model reduction. Zbl 1044.65054
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
24
2004
A measure of similarity between graph vertices: Applications to synonym extraction and web searching. Zbl 1055.05099
Blondel, Vincent D.; Gajardo, Anahí; Heymans, Maureen; Senellart, Pierre; Van Dooren, Paul
24
2004
Normwise scaling of second order polynomial matrices. Zbl 1088.15010
Fan, Hung-Yuan; Lin, Wen-Wei; Van Dooren, Paul
20
2004
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
12
2004
Optimization problems over positive pseudopolynomial matrices. Zbl 1055.90058
Genin, Y.; Hachez, Y.; Nesterov, Yu.; Van Dooren, P.
25
2003
Computing the zeros of periodic descriptor systems. Zbl 1157.93379
Varga, Andras; Van Dooren, Paul
11
2003
Recursive calculation of dominant singular subspaces. Zbl 1051.65047
Chahlaoui, Y.; Gallivan, K.; Van Dooren, P.
10
2003
Identification of positive real models in subspace identification by using regularization. Zbl 1364.93828
Goethals, Ivan; Van Gestel, Tony; Suykens, Johan; Van Dooren, Paul; De Moor, Bart
9
2003
Model reduction via truncation: An interpolation point of view. Zbl 1046.93007
Gallivan, K.; Vandendorpe, A.; Van Dooren, P.
7
2003
Elliptic and hyperbolic quadratic eigenvalue problems and associated distance problems. Zbl 1035.65033
Hachez, Y.; Van Dooren, P.
3
2003
Robust stability and stabilization for singular systems with state delay and parameter uncertainty. Zbl 1364.93723
Xu, Shengyuan; Van Dooren, Paul; Ştefan, Radu; Lam, James
170
2002
Robust \(H_\infty\) filtering for a class of nonlinear systems with state delay and parameter uncertainty. Zbl 1010.93101
Xu, Shengyuan; Van Dooren, Paul
35
2002
Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Zbl 1004.65045
Higham, Nicholas J.; Tisseur, Françoise; Van Dooren, Paul M.
28
2002
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
17
2002
Real and complex stability radii of polynomial matrices. Zbl 1004.15019
Genin, Y.; Ştefan, R.; Van Dooren, P.
12
2002
Positivity and linear matrix inequalities. Zbl 1293.93596
Genin, Y.; Hachez, Y.; Nesterov, Yu.; Ştefan, R.; Van Dooren, P.; Xu, S.
11
2002
Identification of stable models in subspace identification by using regularization. Zbl 1004.93010
Van Gestel, T.; Suykens, J. A. K.; Van Dooren, P.; De Moor, B.
11
2001
On the stability of the generalized Schur algorithm. Zbl 0979.65024
Mastronardi, Nicola; Van Dooren, Paul; Van Huffel, Sabine
4
2001
A fast algorithm for subspace state-space system identification via exploitation of the displacement structure. Zbl 1086.93502
Mastronardi, Nicola; Kressner, Daniel; Sima, Vasile; Van Dooren, Paul; Van Huffel, Sabine
3
2001
An incremental method for computing dominant singular spaces. Zbl 0995.68191
Chahlaoui, Younes; Gallivan, Kyle A.; van Dooren, Paul
2
2001
Gramian based model reduction of large-scale dynamical systems. Zbl 0952.65051
Van Dooren, P. M.
15
2000
Computing the SVD of a general matrix product/quotient. Zbl 0969.65032
Golub, Gene; Sølna, Knut; Van Dooren, Paul
9
2000
A fast algorithm for the computation of an upper bound on the \(\mu\)-norm. Zbl 0981.93016
Lawrence, Craig T.; Tits, André L.; Van Dooren, Paul
6
2000
Updating a generalized URV decomposition. Zbl 0969.65031
Stewart, Michael; Van Dooren, Paul
2
2000
Periodic descriptor systems: Solvability and conditionability. Zbl 0958.93061
Sreedhar, J.; Van Dooren, Paul
15
1999
Model reduction of large-scale systems rational Krylov versus balancing techniques. Zbl 0943.65077
Gallivan, K. A.; Grimme, E.; Van Dooren, P. M.
3
1999
Sensitivity analysis of the Lanczos reduction. Zbl 0982.65047
Paige, Christopher C.; Van Dooren, Paul
3
1999
Rational approximations of pre-filtered transfer functions via the Lanczos algorithm. Zbl 0936.65079
Gallivan, Kyle; Van Dooren, Paul
1
1999
On some recent developments in projection-based model reduction. Zbl 0968.65044
Grimme, E.; Gallivan, K. A.; Van Dooren, P. M.
3
1998
Stability issues in the factorization of structured matrices. Zbl 0884.65023
Stewart, Michael; Van Dooren, Paul
14
1997
An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects. Zbl 0901.93007
Oară, C.; Van Dooren, P.
11
1997
A rational Lanczos algorithm for model reduction. Zbl 0870.65053
Gallivan, K.; Grimme, E.; Van Dooren, P.
51
1996
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P.
40
1996
High performance algorithms for Toeplitz and block Toeplitz matrices. Zbl 0859.65017
Gallivan, K. A.; Thirumalai, S.; Van Dooren, P.; Vermaut, V.
19
1996
A fast algorithm to compute the real structured stability radius. Zbl 0872.93027
Sreedhar, J.; Van Dooren, Paul; Tits, André L.
16
1996
...and 66 more Documents
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Cited by 2,164 Authors

81 Van Dooren, Paul M.
40 Benner, Peter
30 Dopico, Froilán M.
24 Lam, James
23 Mehrmann, Volker
20 Gugercin, Serkan
20 Jbilou, Khalide
19 Van Barel, Marc
18 Mastronardi, Nicola
17 Vandebril, Raf
16 de Terán, Fernando
15 Jiang, Yaolin
15 Xu, Shengyuan
14 Basin, Michael V.
13 Duan, Guangren
13 Kaczorek, Tadeusz
13 Kressner, Daniel
13 Oară, Cristian
12 Beattie, Christopher A.
12 Chu, Delin
12 Pérez, Javier J.
12 Zhang, Qingling
11 Gallivan, Kyle A.
11 Syrmos, Vassilis L.
10 Antoulas, Athanasios C.
10 Lin, Wen-Wei
10 Stykel, Tatjana
9 Boukas, El-Kébir
9 Calderon-Alvarez, Dario
9 Chu, Jian
9 Dmytryshyn, Andrii R.
9 Faßbender, Heike
9 Kågström, Bo
9 Sergeichuk, Vladimir Vasil’evich
9 Shi, Peng
9 Stefanovski, Jovan D.
9 Su, Hongye
9 Tisseur, Françoise
8 Alpay, Daniel Aron
8 Gemignani, Luca
8 He, ZhuoHeng
8 Lu, Renquan
8 Ma, Yuechao
8 Mackey, D. Steven
8 Nichols, Nancy K.
8 Willcox, Karen E.
8 Wu, Zhengguang
8 Xue, Anke
7 Absil, Pierre-Antoine
7 Bai, Zhaojun
7 Boley, Daniel L.
7 De Moor, Bart L. R.
7 Hari, Vjeran
7 Kailath, Thomas
7 Lewis, Frank Leroy
7 Lewkowicz, Izchak
7 Michiels, Wim
7 Ntogramatzidis, Lorenzo
7 Reichel, Lothar
7 Wang, Guoliang
7 Watkins, David S.
7 Xu, Hongguo
6 Alam, Rafikul
6 Bentbib, Abdeslem Hafid
6 Bouagada, Djillali
6 Chen, Ben M.
6 Christodoulou, Manolis A.
6 Chu, King-Wah Eric
6 Chu, Moody T.
6 Eberhard, Peter
6 Gohberg, Israel
6 Hochstenbach, Michiel E.
6 Karcanias, Nicos
6 Kulikova, Maria V.
6 Lohmann, Boris
6 Meerbergen, Karl
6 Noferini, Vanni
6 Plestenjak, Bor
6 Robol, Leonardo
6 Ryabchenko, Vladimir Nikolaevich
6 Xu, Kangli
6 Zhong, Shou-Ming
5 Anderson, Brian David Outram
5 Bojanczyk, Adam W.
5 Bouhamidi, Abderrahman
5 Byers, Ralph
5 Drmač, Zlatko
5 Druskin, Vladimir
5 Genin, Y.
5 Gosea, Ion Victor
5 Güttel, Stefan
5 Henrion, Didier
5 Heyouni, Mohammed
5 Kalogeropoulos, Grigoris I.
5 Kchaou, Mourad
5 Kimura, Hidenori
5 King-wah Chu, Eric
5 Kublanovskaya, Vera Nikolaevna
5 Lancaster, Peter
5 Lawrence, Piers W.
...and 2,064 more Authors
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Cited in 212 Serials

297 Linear Algebra and its Applications
117 Automatica
110 International Journal of Control
101 Systems & Control Letters
66 Journal of Computational and Applied Mathematics
61 SIAM Journal on Matrix Analysis and Applications
55 Journal of the Franklin Institute
44 Applied Mathematics and Computation
38 International Journal of Systems Science
31 SIAM Journal on Scientific Computing
28 Circuits, Systems, and Signal Processing
25 Numerische Mathematik
25 European Journal of Control
23 Numerical Algorithms
21 BIT
21 Applied Numerical Mathematics
17 International Journal of Robust and Nonlinear Control
15 Computers & Mathematics with Applications
15 Mathematics of Computation
14 Kybernetika
14 Numerical Linear Algebra with Applications
14 International Journal of Systems Science. Principles and Applications of Systems and Integration
13 International Journal for Numerical Methods in Engineering
13 MCSS. Mathematics of Control, Signals, and Systems
13 Mathematical Problems in Engineering
13 Asian Journal of Control
12 Integral Equations and Operator Theory
12 Automation and Remote Control
11 Information Sciences
11 Applied Mathematics Letters
11 Advances in Computational Mathematics
11 International Journal of Applied Mathematics and Computer Science
10 Computer Methods in Applied Mechanics and Engineering
10 SIAM Journal on Optimization
10 ELA. The Electronic Journal of Linear Algebra
10 Mathematical and Computer Modelling of Dynamical Systems
9 Journal of Optimization Theory and Applications
9 Journal of Scientific Computing
8 Vietnam Journal of Mathematics
8 Journal of Control Theory and Applications
7 Journal of Computational Physics
7 Linear and Multilinear Algebra
7 Optimal Control Applications & Methods
7 International Journal of Computer Mathematics
6 International Journal of Adaptive Control and Signal Processing
6 Journal of Vibration and Control
6 Nonlinear Dynamics
5 Discrete Applied Mathematics
5 Calcolo
5 Insurance Mathematics & Economics
5 Journal of Symbolic Computation
5 Multidimensional Systems and Signal Processing
5 SIAM Review
5 Archives of Control Sciences
5 Computational Optimization and Applications
5 Journal of Computer and Systems Sciences International
5 Computational and Applied Mathematics
5 Discrete Dynamics in Nature and Society
4 Chaos, Solitons and Fractals
4 Mathematics and Computers in Simulation
4 SIAM Journal on Control and Optimization
4 Journal of Economic Dynamics & Control
4 Mathematical and Computer Modelling
4 Signal Processing
4 Computational Mathematics and Mathematical Physics
4 Multibody System Dynamics
4 The ANZIAM Journal
4 GAMM-Mitteilungen
4 Journal of Control Science and Engineering
3 Inverse Problems
3 Journal of Mathematical Analysis and Applications
3 SIAM Journal on Numerical Analysis
3 Theoretical Computer Science
3 Journal of Complexity
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Global Optimization
3 Applied Mathematical Modelling
3 Mathematical Programming. Series A. Series B
3 Journal of Mathematical Sciences (New York)
3 Journal of Difference Equations and Applications
3 Communications in Nonlinear Science and Numerical Simulation
2 Computers and Fluids
2 Journal of Mathematical Physics
2 Transport Theory and Statistical Physics
2 Fuzzy Sets and Systems
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Journal of Soviet Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Algebraic and Discrete Methods
2 Stochastic Analysis and Applications
2 Annals of Operations Research
2 Computational Statistics and Data Analysis
2 Indagationes Mathematicae. New Series
2 Computational Economics
2 ETNA. Electronic Transactions on Numerical Analysis
2 Engineering Analysis with Boundary Elements
2 Doklady Mathematics
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
...and 112 more Serials
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Cited in 52 Fields

939 Systems theory; control (93-XX)
616 Numerical analysis (65-XX)
505 Linear and multilinear algebra; matrix theory (15-XX)
105 Ordinary differential equations (34-XX)
87 Operations research, mathematical programming (90-XX)
62 Operator theory (47-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
51 Computer science (68-XX)
50 Probability theory and stochastic processes (60-XX)
42 Approximations and expansions (41-XX)
38 Statistics (62-XX)
35 Combinatorics (05-XX)
30 Mechanics of particles and systems (70-XX)
28 Difference and functional equations (39-XX)
28 Information and communication theory, circuits (94-XX)
27 Dynamical systems and ergodic theory (37-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Mechanics of deformable solids (74-XX)
21 Functions of a complex variable (30-XX)
21 Partial differential equations (35-XX)
18 Fluid mechanics (76-XX)
15 Real functions (26-XX)
13 Optics, electromagnetic theory (78-XX)
13 Biology and other natural sciences (92-XX)
8 Integral equations (45-XX)
7 Algebraic geometry (14-XX)
6 Field theory and polynomials (12-XX)
6 Commutative algebra (13-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Functional analysis (46-XX)
6 Geophysics (86-XX)
5 General and overarching topics; collections (00-XX)
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1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
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