Journal Papers
1
P. Van Dooren and L. De Ridder. An adaptive algorithm for numerical integration over the n-cube. J. Comp. Appl. Math., 2:207--217, September 1976. PDF
2
P. Van Dooren, P. Dewilde, and J. Vandewalle. On the determination of the Smith-McMillan form of a rational matrix from its Laurent expansion. IEEE Trans. Circ. Syst., 26(3):180--189, 1979. PDF
3
P. Van Dooren. The computation of Kronecker's canonical form of a singular pencil.
Lin. Alg. Appl., 27:103--141,
October 1979.
PDF
4
G. Verghese, P. Van Dooren, and T. Kailath. Properties of the system matrix of a generalized state-space system. Int. J. Control, 30(2):235--243, October 1979. PDF
5
H. Bart, I. Gohberg, M. Kaashoek, and P. Van Dooren. Factorization of transfer functions. SIAM J. Control Optim., 18(6):675--696, November 1980. PDF
6
P. Van Dooren. The generalized eigenstructure problem in linear system theory. IEEE Trans. Automat. Control, 26(1):111--129, February 1981. PDF
7
P. Van Dooren and P. Dewilde. Minimal cascade factorizations of real and complex rational matrices. IEEE Trans. Circ. Syst., 28(5):390--400, May 1981. PDF
8
P. Van Dooren. A generalized eigenvalue approach for solving Riccati equations.
SIAM J. Sci. Statist. Comput., 2(2):121--135, June 1981.
PDF
9
L. Silverman and P. Van Dooren. A system theoretic approach for GCD extraction. IEEE Trans. Automat. Control, 26(6):1273--1276, December 1981. PDF
10
A. Emami-Naeini and P. Van Dooren. Computation of zeros of linear multivariable systems.
Automatica, 18:415--430, July 1982.
PDF
11
P. Delsarte, Y. Genin, Y. Kamp, and P. Van Dooren. Speech modelling and the trigonometric moment problem. Philips J. Res., 37:277--292, December 1982. PDF
12
Van Dooren P. Algorithm 590 : DSUBSP and EXCHQZ : Fortran subroutines for computing deflating subspaces with specified spectrum. ACM Trans. Math. Softw., 8:376--382, December 1982. PDF
13
Y. Genin, P. Van Dooren, T. Kailath, J. Delosme, and M. Morf. On Sigma-lossless transfer functions and related questions. NL'>Lin. Alg. Appl., 50:251--276, 1983. PDF
14
P. Van Dooren and P. Dewilde. The eigenstructure of an arbitrary polynomial matrix. Computational aspects.
Lin. Alg. Appl., 50:545--580, 1983.
PDF
15
S. Shokoohi, L. Silverman, and P. Van Dooren. Linear time-variable systems: balancing and model reduction. IEEE Trans. Automat. Control, 28(8):810--822, August 1983. PDF
16
S. Shokoohi, L. Silverman, and P. Van Dooren. Stable approximation of time-variable systems.
Automatica, 20(1):59--67, January 1984.
PDF
17
P. Van Dooren. Factorization of a rational matrix : the singular case.
Integr. Eq. Operator Th., 7:704--741, October 1984.
PDF
18
P. Van Dooren. Deadbeat control, a special inverse eigenvalue problem. BIT,
24:681--699, December 1984.
PDF
19
P. Van Dooren. Reduced order observers : a new algorithm and proof. Systems
Control Lett., IV(5):243--251, July 1984.
PDF
20
J. Kautsky, N. Nichols, and P. Van Dooren. Robust pole assignment in linear state feedback.
Int. J. Control, 41:1129--1156, May 1985.
PDF
21
M. Verhaegen and P. Van Dooren. Numerical aspects of different Kalman filter implementations.
IEEE Trans. Automat. Control,
31:907--917, October 1986.
PDF
22
C. Paige and P. Van Dooren. On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition. Lin. Alg. Appl., pages 301--313, 1986. PDF
23
M. Verhaegen and P. Van Dooren. A reduced order observer for descriptor systems.
Systems Control Lett., 8:29--37, 1986.
PDF
24
A. Bojanczyk, R. Brent, P. Van Dooren, and F. de Hoog. A note on downdating the Cholesky factorization. SIAM J. Sci. Statist. Comput., 8:210--221, May 1987. PDF
25
J.P. Charlier and P. Van Dooren. On Kogbetliantz's SVD algorithm in the presence of clusters.
Lin. Alg. Appl., 95:135--160, 1987.
PDF
26
P. Van Dooren and M. Verhaegen. Condensed forms for efficient time invariant Kalman filtering. SIAM J. Sci. Statist. Comput., 9:516--530, May 1988. PDF
27
J.P. Charlier, M. Vanbegin, and P. Van Dooren. On efficient implementations of Kogbetliantz's algorithm for computing the singular value decomposition. Numerische Mathematik, 52:279--300, 1988. PDF
28
Th. Beelen and P. Van Dooren. An improved algorithm for the computation of Kronecker's canonical form of a singular pencil. Lin. Alg. Appl., 105:9--65, 1988. PDF
29
M. Vanbegin, P. Van Dooren, and M. Verhaegen. FORTRAN subroutines for computing the square root covariance filter and square root information filter in dense and Hessenberg forms. ACM Trans. Math. Softw., 15:243--256, September 1988. PDF
30
J.P. Charlier, M. Vanbegin, and P. Van Dooren. Systolic algorithms for digital
signal processing. Philips J. Res., 43:268--290, September 1988.
PDF
31
Th. Beelen and P. Van Dooren. A numerical method for deadbeat control of generalized state-space systems. Systems Control Lett., 110:225--233, 1988. PDF
32
Th. Beelen and P. Van Dooren. A pencil approach for embedding a polynomial matrix into a unimodular matrix. SIAM J. Matrix Anal. Appl., 9:77--89, January 1988. PDF
33
J.P. Charlier and P. Van Dooren. A systolic algorithm for Riccati and Lyapunov equations. Maths. Contr. Sig.
Sys., 2:109--136, 1989.
PDF
34
J.P. Charlier and P. Van Dooren. A Jacobi-like algorithm for computing the generalized Schur form of a regular pencil. J. Comp. Appl. Math., 27:17--36, September 1989. PDF
35
P. Van Dooren. Numerical aspects of system and control algorithms. Journal A,
30:25--32, 1989.
PDF
36
P. Van Dooren. Rational and polynomial matrix factorizations via recursive pole-zero
cancellation. Lin. Alg. Appl., 137--138:663--697, 1990.
PDF
37
M. Moonen, P. Van Dooren, and J. Vandewalle. Jacobi-type algorithms for LDU and Cholesky factorization. Journal Parallel Distr. Computing, 25(2):111--117, 1991. PDF
38
A. Bojanczyk, M. Ewerbring, F. Luk, and P. Van Dooren. An accurate product SVD algorithm. Signal Processing, 25(2):189--201, November 1991. PDF
39
M. Moonen, P. Van Dooren, and J. Vandewalle. A systolic algorithm for QSVD updating.
Signal Processing, 25(2):203--213, November 1991.
PDF
40
B. Kagstrom and P. Van Dooren. A generalized state-space approach for the additive decomposition of a transfer matrix. Journal of Linear Algebra and Applications, pages 165--181, 1992. PDF
41
B. De Moor and P. Van Dooren. Generalizations of the singular value and QR decompositions. SIAM J. Matrix Anal. Appl, 13(4):993--1014, October 1992. PDF
42
M. Moonen, P. Van Dooren, and J. Vandewalle. An SVD updating algorithm for subspace tracking. SIAM J. Matrix Anal. Appl., 13(4):1015--1038, October 1992. PDF
43
G. Golub, B. Kagstrom, and P. Van Dooren. Direct block tridiagonalization of single-input single-output systems. Systems Control Lett., 18:109--120, 1992. PDF
44
M. Moonen, P. Van Dooren, and J. Vandewalle. A systolic array for SVD updating.
SIAM J. Matrix Anal. Appl., 14(2):353--371, April 1993.
PDF
45
M. Moonen, P. Van Dooren, and F. Van Poucke. On the QR algorithm and updating the SVD and the URV decomposition in parallel. Lin. Alg. Appl., 188/189:549--568, 1993. PDF
46
D. Boley and P. Van Dooren. Placing zeroes and the Kronecker canonical form. Circuits
Signals and Systems, 13:783--802, 1994.
PDF
47
P. Van Dooren and J. Sreedhar. When is a periodic discrete-time system equivalent to a time invariant one. Lin. Alg. Appl., 212/213:131--152, 1994. PDF
48
P. Misra, P. Van Dooren, and A. Varga. Computation of structural invariants of generalized state space systems. Automatica, 30(12):1921--1936, December 1994. PDF
49
K. Gallivan, E. Grimme, and P. Van Dooren. Asymptotic waveform evaluation via a Lanczos method.
Appl. Math. Lett., 7:75--80, 1994.
PDF
50
A. Bjorck, E. Grimme, and P. Van Dooren. An implicit shift bidiagonalization algorithm for
ill-posed system. BIT, pages 510--534, 1994.
PDF
51
P. Misra, V. Syrmos, and P. Van Dooren. Pole-zero representation of descriptor systems.
Automatica, 31(6):907--912, June 1995.
PDF
52
E. Grimme, D. Sorensen, and P. Van Dooren. Model reduction of state space systems via an implicitly restarted Lanczos method. Numerical Algorithms, 12:1--31, 1996. PDF
53
K. Gallivan, E. Grimme, and P. Van Dooren. A rational Lanczos algorithm for model reduction.
Numerical Algorithms, 12(1--2):33--63, April 1996.
PDF
54
K. A. Gallivan, S. Thirumalai, P. Van Dooren, and V. Vermaut. High performance algorithms for Toeplitz and block Toeplitz matrices. Lin. Alg. Appl., 241/243:343--388, July 1996. PDF
55
M. Stewart and P. Van Dooren. Stability issues in the factorization of structured matrices. SIAM J. Matrix Anal. Appl., 18(1):104--118, January 1997. PDF
56
C. Oara and P. Van Dooren. An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects. Systems Control Lett., 30:39--48, 1997. PDF
57
J. Sreedhar and P. Van Dooren. Periodic descriptor systems : solvability and conditionability. IEEE Trans. Automat. Control, pages 310-313, February 1999. PDF
58
C. Paige and P. Van Dooren. Sensitivity analysis of the Lanczos reduction. Numerical
Linear Algebra with Applications, pages 29--50, 1999.
PDF
59
K. Gallivan and P. Van Dooren. Rational approximations of pre-filtered transfer functions via the Lanczos algorithm. Numerical Algorithms, pages 331--342, 1999. PDF
60
C. Lawrence, A. Tits, and P. Van Dooren. A fast algorithm for the computation of an upper bound on the mu-norm. Automatica, 36:449--456, 2000. PDF
61
G. Golub, K. Solna, and P. Van Dooren. Computing the SVD of a general matrix product/quotient.
SIAM J. Matrix Anal. Appl., 22(1):1--19, 2000.
PDF
62
M. Stewart and P. Van Dooren. Updating a generalized URV decomposition. SIAM J. Matrix Anal. Appl.,
22(2):479--500, 2000.
PDF
63
T. Van Gestel, J. Suykens, P. Van Dooren, and B. De Moor. Identification of stable models in subspace identification by using regularization. IEEE Trans. Automat. Control, 46:1416--1420, Sept 2001. PDF
64
N. Mastronardi, D. Kressner, V. Sima, P. Van Dooren, and S. Van Huffel. A fast algorithm for state-space identification via exploitation of the displacement structure. J. Comp. Appl. Math., 132(1):71--81, July 2001. PDF
65
P.A. Absil, R. Mahoney, R. Sepulchre, and P. Van Dooren. A Grassman-Rayleigh quotient iteration for computing invariant subspaces. SIAM Review, 44(1):57--73, 2002. PDF
66
Y. Genin, R. Stefan, and P. Van Dooren. Real and complex stability radii of polynomial
matrices. Lin. Alg. Appl., 351-352:381--410, 2002.
PDF
67
N. Higham, F. Tisseur, and P. Van Dooren. Detecting a definite hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Lin. Alg. Appl., 351-352:455--474, 2002. PDF
68
Y. Genin, Y. Hachez, Y. Nesterov, R. Stefan, P. Van Dooren, and S. Xu. Positivity and linear matrix inequalities. European Journal of Control, 8(3):275--298, 2002. PDF
69
S. Xu, P. Van Dooren, R. Stefan, and J. Lam. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Trans. Automat. Control, 47(7):1122--1128, 2002. PDF
70
S. Xu and P. Van Dooren. Robust Hoo filtering for a class of nonlinear systems with state delay and parameter uncertainty. Int. J. Control, 75(10):766--774, 2002. PDF
71
Y. Genin, Y. Hachez, Y. Nesterov, and P. Van Dooren. Optimization problems over positive pseudo-polynomial matrices. SIAM J. Matrix Anal. Appl., 25(1):57--79, 2003. PDF
72
Y. Chahlaoui, K. Gallivan, and P. Van Dooren. Recursive calculation of dominant singular subspaces. SIAM J. Matrix Anal. Appl., 25(2):445--463, 2003. PDF
73
K. Gallivan, A. Vandendorpe, and P. Van Dooren. Model reduction via truncation: an interpolation point of view. Lin. Alg. Appl., 375:115--134, 2003. PDF
74
K. Hueper and P. Van Dooren. New algorithms for the iterative refinement of estimates of invariant subspaces. Journal Future Generation Computer Systems, 19:1231--1242, 2003. PDF
75
A. Varga and P. Van Dooren. Computing the zeros of periodic descriptor systems. Systems
Control Lett., 50(5):371--381, 2003.
PDF
76
Y. Hachez and P. Van Dooren. Elliptic and hyperbolic quadratic eigenvalue problems and associated distance problems. Lin. Alg. Appl., 371:31--44, 2003. PDF
77
I. Goethals, T. Van Gestel, J. Suykens, P. Van Dooren, and B. De Moor. Identification of positive real models in subspace identification with regularization. IEEE Trans. Automat. Control, 48(10):1843--1847, 2003. PDF
78
K. Gallivan, A. Vandendorpe, and P. Van Dooren. Sylvester equations and projection-based model reduction. J. Comp. Appl. Math., 162:213--229, 2004. PDF
79
P. Van Dooren. The basics of developing numerical algorithms. IEEE Control
Systems Magazine, 18--27, 2004.
PDF
80
P.A. Absil, R. Sepulchre, P. Van Dooren, and R. Mahony. Cubically convergent iterations for invariant subspace computation. SIAM J. Matrix Anal. Appl., 26(1):70--96, 2004. PDF
81
H.Y. Fan, W.W. Lin, and P. Van Dooren. A note on optimal scaling of second order polynomial matrices. SIAM J. Matrix Anal. Appl., 26(1),252--256, 2004. PDF
82
V. Blondel, A. Gajardo, M. Heymans, P. Sennelart, and P. Van Dooren. A measure of similarity between graph vertices : applications to synonym extraction and web searching. SIAM Review, 46(4):647--666, 2004. PDF
83
K. Gallivan, A. Vandendorpe, and P. Van Dooren. Model reduction of mimo systems via tangential interpolation. SIAM J. Matrix Anal. Appl., 26(2):328--349, 2004. PDF
84
N.D. Ho and P. Van Dooren. On the pseudo-inverse of the Laplacian of a bipartite graph. Appl.
Math. Lett.,2005.
PDF
85
V. Blondel, L. Ninove, and P. Van Dooren. An affine eigenvalue problem on the nonnegative
orthant. Lin. Alg. Appl., 404:69--84, 2005.
PDF
86
M. Stewart and P. Van Dooren. On the factorization of hyperbolic and unitary transformations into rotations. SIAM J. Matrix Anal. Appl., 27(3):876--890, 2006. PDF
87
D. Bouagada and P. Van Dooren. Stability margins for generalized state space systems. Appl.
Math. Letters, 19:451--457, 2006.
PDF
88
D. Lemonnier and P. Van Dooren. Balancing regular matrix pencils. SIAM J. Matrix Anal. Appl., 28(1):253--263,
2006.
PDF
89
K. Gallivan, X. Rao, and P. Van Dooren. Singular Riccati equations stabilizing large-scale
systems. Lin. Alg. Appl., 415:359--372, 2006.
PDF
90
Y. Chahlaoui, D. Lemonnier, A. Vandendorpe, and P. Van Dooren. Second-order balanced truncation. Lin.
Alg. Appl., 415:373--384, 2006.
PDF
91
D. Chu and P. Van Dooren. A novel numerical method for the exact model matching problem with
stability. Automatica, 42:1697--1704, 2006.
PDF
92
K. Unneland, P. Van Dooren, O. Egeland, New schemes for positive real truncation, Modeling,
Identification and Control, 28(1):1--13, 2007.
PDF
93
N.-D. Ho, P. Van Dooren, Non-negative matrix factorization with fixed marginal sums, Linear Algebra and its Applications, 429(5-6):1020--1025, 2008. PDF
94
C. Fraikin, Yu. Nesterov, P. Van Dooren, A gradient-type algorithm optimizing the coupling between matrices and application to graph matching, Linear Algebra and its Applications, 429(5-6):1229--1242, 2008. PDF
95
C. de Kerchove, L. Ninove, P. Van Dooren, Influence of the outlinks of a page on its PageRank, Linear Algebra and its Applications, 429(5-6):1254–-1276, 2008. PDF
96
C. Fraikin, Yu. Nesterov and P. Van Dooren. Optimizing the coupling between two isometric projections of matices. SIAM Journal on Matrix Analysis and Applications, 30(1):324--345, 2008. PDF
97
R. Lambiotte, V.D. Blondel, C. de Kerchove, E. Huens, C. Prieur, Z. Smoreda, P. Van Dooren, Geographical dispersal of mobile communication networks, Physica A, 387:5317--5325, 2008. PDF
98
A. Vandendorpe, N.-D. Ho, S. Vanduffel, P. Van Dooren, The Parameterization of the CreditRisk Model for estimating Credit Portfolio Risk, Insurance, Mathematics and Economics, 42(2):736--745, Apr. 2008. PDF
99
P. Van Dooren, K.A. Gallivan, P.-A. Absil, H2-optimal model reduction of MIMO systems, Applied
Mathematics Letters, 21:1276—1273, 2008.
PDF
100
B. Haut, G. Bastin, P. Van Dooren, Maximal nonnegative perturbation of a nonegative matrix, International Journal of Robust and Nonlinear Control, Vol.19(3):364—376, 2009. PDF
101
C. de Kerchove, G. Krings, R. Lambiotte, V.D. Blondel, and P. Van Dooren, The Role of Second Trials in Cascades of Information over Networks, Physical Review E, 79(1):no16114, Jan. 2009. PDF
102
P. Van Dooren, C. Fraikin, Similarity matrices for colored graphs, Bull. Belg. Math. Soc. Simon Stevin,
16:705--722, 2009.
PDF
103
M. Van Barel, Y. Vanberghen, P. Van Dooren, Using semiseparable matrices to compute the SVD of a general matrix product/quotient, Journal Comp. and Appl. Math., 234:3175--3180, 2010. PDF
104
L. Plaghki, C. Decruynaere, P. Van Dooren, D. Le Bars, The fine tuning of pain thresholds: a sophisticated double alarm system, PLoS ONE, 5(4):e10269, 2010. PDF
105
P.-A. Absil, P. Van Dooren. Two-sided Grassmann-Raleigh quotient iteration, Numerische
Mathematik, Vol.114:549--571, 2010.
PDF
106
C. deKerchove, P. Van Dooren. Iterative Filtering in Reputation Systems, SIAM J. Matr. Anal. Appl.,
Vol.31(4):1812--1834, 2010.
PDF
107
N. Mastronardi, E.E. Tyrtyshnikov, P.Van Dooren, A fast algorithm for updating and tracking the dominant kernel principal components, SIAM J. Matr. Anal. Appl., Vol.31(5):2376--2399, 2010. PDF
108
M. Van Barel, R. Vandebril, P. Van Dooren, K. Frederix, Implicit double shift QR-algorithm for companion and fellow matrices,Numerische Mathematik, Vol.116:117--212, 2010. PDF
109
P. Van Dooren, K.A. Gallivan, P.-A. Absil, H2-optimal model reduction with higher order poles, SIAM J. Matr. Anal. Appl., Vol.31(5), 2738-2753, 2010. PDF
110
V. Traag, P. Van Dooren, Y. Nesterov, Narrow scope for resolution-limit-free community detection, Physical Review E, Vol.84(1), pp.016114, 2011. PDF
111
S. Melchior, V. Legat, P. Van Dooren, A. Wathen, Analysis of preconditioned iterative solvers for incompressible flow problems, International Journal for Numerical Methods in Fluids, Vol.68:269--286, 2012. PDF
112
C.G. Baker, K.A. Gallivan, P. Van Dooren, Low-Rank Incremental Methods for Computing Dominant Singular Subspaces, Linear Algebra and its Applications, Vol.436(8):2866-2888, April 2012. PDF
113
T.P. Cason, P.-A. Absil, P. Van Dooren, Iterative Methods for Low Rank Approximation of Graph Similarity Matrices, Linear Algebra and its Applications, Vol.438, pp.1863-1882, 2012. PDF
114
D. Bouagada, P. Van Dooren, State space solution of implicit fractional continuous time systems, Fractional Calculus and Applied Analysis, Vol. 15(3):356-361, Sept. 2012. PDF
115
N. Mastronardi, P. Van Dooren, Recursive approximation of the dominant eigenspace of an indefinite matrix, Journal of Computational and Applied Mathematics, Vol.236(16):4090-4104, Oct. 2012. PDF
116
M. Cucuringu, V. Blondel, P. Van Dooren, Extracting spatial information from networks with lower order eigenvectors, Physical Review E, Vol.87, 032803, 2013. PDF
117
S. Johansson, B. Kagstrom, P. Van Dooren, Stratification of full rank polynomial matrices, Linear Algebra and its Applications, Vol.439:1062-1090, 2013. PDF
118
N. Mastronardi, P. Van Dooren, The anti-triangular factorization of
symmetric matrices, Siam J. Matr. Anal. Appl., Vol.34(1):173-196, 2013.
PDF
119
M. Ishteva, P.-A. Absil, P. Van Dooren, Jacobi algorithm for the best low multilinear rank approximation of symmetric tensors, SIAM J. Matr. Anal. Appl., Vol.34(2):651-672, 2013. PDF
120
D. Bouagada, P. Van Dooren, On the stability of 2D state-space models, Numerical Linear Algebra with Applications
, Vol.20:198-207, 2013.
PDF
121
V. Traag, G. Krings, P. Van Dooren, Significant Scales in Community Structure, Scientific Reports,
Vol.3, Article 2930, 2013.
PDF
122
V. Traag, P. Van Dooren, P. De Leenheer, Dynamical Models Explaining Social Balance and Evolution of Cooperation, Plos One, Vol.8(4):e60063, 2013. PDF
123
B. Csaji, A. Browet, J.-C. Delvenne, E. Huens, P. Van Dooren, V.D. Blondel, Z. Smoreda, Exploring Mobility of Mobile Users, Physica A, Vol.392(6):1459-1473, 2013. PDF
124
S. Melchior, P. Van Dooren, K. Gallivan, Model reduction of linear time-varying systems over nite horizons, Appl. Num. Math., Vol.77:72-81, 2014. PDF
125
M. Freitag, A. Spence, P. Van Dooren, Calculating the H-infinity norm using the implicit determinant method, SIAM J. Mat. Anal. Appl., Vol.35(2):619-635, 2014. PDF
126
P. Van Dooren, G. Strang, Symmetric elimination without pivoting, Linear Algebra and its Applications,
Vol.452:40-45, 2014.
PDF
127
M. Trefois, P. Van Dooren, J.C. Delvenne, Binary factorizations of the matrix of all ones,
Linear Algebra an its Applications, Vol.468:63-79, 2015.
PDF
128
N. Mastronardi, P. Van Dooren, Revisiting the stability of computing the roots of a quadratic polynomial,
ETNA, Vol.44, 2015.
PDF
129
N. Mastronardi, P. Van Dooren, An algorithm for solving the indefinite least squares problem with
equality constraints, BIT, Vol.54:201-218, 2014.
PDF
130
F. De Teran, F. Dopico and P. Van Dooren, Matrix polynomials with completely prescribed eigenstructure, SIAM Journal on Matrix Analysis and Applications, Vol.38(1):302-328, 2015. PDF
131
N. Mastronardi, P. Van Dooren, A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints, IMA J. Num. Anal., Vol.35(1):107-132, 2015. PDF
132
N. Mastronardi, P. Van Dooren, Creating a nilpotent pencil via deadbeat,
International Journal of Control, Vol.88(12):2627-2634, 2015.
PDF
133
N. Mastronardi, P. Van Dooren, Rank-revealing decomposition of symmetric indefinite matrices via block anti-triangular factorization, Linear Algebra and its Applications, Vol.502:126-139, 2016. PDF
134
T. Berger and P. Van Dooren, Computing the regularization of a linear differential-algebraic system, Systems and Control Letters, Vol.86:48-53, 2015. PDF
135
F. De Teran, F. Dopico, S. Mackey and P. Van Dooren, Polynomial Zigzag Matrices, Dual Minimal Bases, and the Realization of Completely Singular Polynomials, Linear Algebra and its Applications, Vol.488:460-504, 2016. PDF
136
P. Lawrence, M. Van Barel, P. Van Dooren, Backward error analysis of polynomial eigenvalue problems solved by linearization, SIAM J. Matr. Anal. Appl., Vol.37(1):123-144, 2016. PDF
137
F. De Teran, F. Dopico and P. Van Dooren, Constructing strong l-ifications from dual minimal bases, Linear Algebra and its Applications, Vol.495:344-372, 2016. PDF
138
X. Wang, F. Glineur, L. Lu, P. Van Dooren, Extended Lanczos Bidiagonalization Algorithm for Low Rank Approximation and its Applications, J. Comp. Appl. Math., Vol.301:213-229, 2016. PDF
139
G. Zhou, W. Huang, K. Gallivan, P. Van Dooren and P.A. Absil, A Riemannian rank-adaptive method for low-rank optimization, Neurocomputing, Vol.192:72-80, 2016. PDF
140
W. Huang, G. Zhou, M. Marchand, J. Ash, D. Morris, P. Van Dooren, J.M. Brown, K.A. Gallivan J. Wilgenbusch, TreeScaper: visualizing and extracting phylogenetic signal from sets of trees, Molecular Biology and Evolution, Vol.33(12):3314-3316, 2016. PDF
141
L. Robol, R. Vandebril, P. Van Dooren, A framework for structured linearizations of matrix polynomials in various bases, SIAM J. Matr. Anal. Appl., Vol.38(1):188-216, 2017. PDF
142
M. Schaub, M. Trefois, P. Van Dooren, J.-C. Delvenne, Sparse matrix factorizations for fast linear solvers with application to Laplacian systems, SIAM J. Matr. Anal. Appl., Vol.38(2):505-529, 2016. PDF
143
N. Mastronardi, P. Van Dooren, Computing the Jordan structure of an eigenvalue,
SIAM J. Matr. Anal. Appl., Vol.38(3):949-966, 2016.
PDF
144
P. Van Dooren, F. Dopico, Robustness and perturbations of minimal bases, Linear Algebra and its Applications,
Vol.542:246-281, 2017.
PDF
145
D. Bouagada, S.A. Melchior, P. Van Dooren, Calculating the H-infinity norm of a fractional system, Applied Mathematics Letters, Vol.79:51-57, 2017. PDF
146
T. Laudadio, N. Mastronardi, P. Van Dooren, Numerical issues in computing the anti-triangular factorization of symmetric indefinite matrices, Applied Numerical Mathematics, Vol.116:204-214, 2017. PDF
147
F. Dopico, P. Lawrence, J. Perez, P. Van Dooren, Block Kronecker linearizations of matrix polynomials and their backward errors, Numerische Mathematik, Vol.140:373-426, 2018. PDF
148
N. Mastronardi, P. Van Dooren, The QR-steps with perfect shifts, SIAM J. Matr. Anal. Appl.,
Vol.39(4):1591-1615, 2018.
PDF
149
T. Laudadio, N. Mastronardi, P. Van Dooren, The generalized Schur algorithm and some applications, Axioms, Vol.7(81) 18 pages, 2018, doi:10.3390/axioms7040081 PDF
150
F. Dopico, J. Perez, P. Van Dooren, Structured backward error analysis of linearized structured polynomial eigenvalue problems, Mathematics of Computation, Vol.88:1189-1228, 2018. PDF
151
F. Dopico, P. Van Dooren, Robustness and perturbations of minimal bases II: The case with given row degrees, Linear Algebra and its Applications, Vol.576:268-300, 2019. PDF
152
C. Beattie, V. Mehrmann, P. Van Dooren, Robust port-Hamiltonian representations of passive systems, Automatica, Vol.100:182-186, 2019. PDF
153
F. Dopico, J. Perez, P. Van Dooren, Block minimal bases l-ifications of matrix polynomials, Linear Algebra and its Applications, Vol. 562:163-204, 2019. PDF
154
A. Dmytryshyn, S. Johansson, B. Kagstrom, P. Van Dooren, Geometry of matrix polynomial spaces, Foundations of Computational Mathematics, 2019, doi.org/10.1007/s10208-019-09423-1. PDF
155
D. Camps, N. Mastronardi, R. Vandebril, P. Van Dooren, Swapping 2x2 blocks in the Schur and generalized Schur form, JCAM, 2019, doi.org/10.1016/j.cam.2019.05.022. PDF
156
V. Mehrmann, P. Van Dooren, Optimal robustness of port-Hamiltonian systems,
SIAM J. Matr. Anal. Appl., Vol. 41(1):134-151, 2019.
PDF
157
V. Mehrmann, P. Van Dooren, Optimal robustness of passive discrete-time systems, IMA Journal of Mathematical Control and Information, Vol. 37(4):1248-1269, 2020. PDF
158
T. Laudadio, N. Mastronardi, P. Van Dooren, Computing the eigenvectors of nonsymmetric tridiagonal matrices, Computational Mathematics and Mathematical Physics, Vol. 61(5):733-749, 2020. PDF
159
N. Mastronardi, P. Van Dooren, On QZ steps with perfect shifts and computing the index of a differential-algebraic equation, IMA Journal of Numerical Analysis, doi:10.1093/imanum/draa049, 2020. PDF
160
D. Bankmann, V. Mehrmann, Y. Nesterov, P. Van Dooren, Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis, submitted to Vietnam Journal of Mathematics, Vol. 48(4):633-659, 2020. PDF
161
P. Benner, P. Goyal, P. Van Dooren, Identification of Port Hamiltonian Systems from Frequency Response Data, Systems and Control Letters, Vol.143, 104741, 2020. PDF
162
D.F. Dopico, S. Marcaida, M.C. Quintana, P. Van Dooren, Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems, Linear Algebra and its Applications, Vol. 604:441-475, 2020. PDF
163
A.O. Elosmani, D. Bouagada, P. Van Dooren and K. Benyettou, LMI stability test for multidimensional linear state-space models, J. Comp. Appl. Math., Vol.390, https://doi.org/10.1016/j.cam.2020.113363, 2020. PDF
164
F. Dopico, M.C. Quintana, P. Van Dooren, Linear system matrices of rational transfer functions, in Realization and Model Reduction of Dynamical Systems, A Festschrift in Honor of the 70th Birthday of Thanos Antoulas, Eds. Beattie et al., Springer Verlag, 2020. PDF
165
V. Mehrmann, P. Van Dooren, Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems, SIAM J. Matr. Anal. Appl., Vol. 42(1):1-16, 2021. PDF
166
M. Marchand, K. Gallivan, W. Huang and P. Van Dooren, Analysis of the Neighborhood Similarity Measure for the Role Extraction Problem, SIAM J. Math. Data Sc., Vol. 3(2):736-757, 2021. PDF
167
D.F. Dopico, S. Marcaida, M.C. Quintana, P. Van Dooren, Block Full Rank Linearizations of Rational Matrices, Lin. and Multilin. Alg., doi.org/10.1080/03081087.2022.2033151, Feb. 2022. PDF
168
D.F. Dopico, M.C. Quintana, P. Van Dooren, Diagonal scalings for the eigenstructure of arbitrary pencils, SIAM J. Matr. Anal. Appl., Vol. 43(3):1213-1237, 2022. PDF PDF
169
D.F. Dopico, M.C. Quintana, P. Van Dooren, Strongly minimal self-conjugate linearizations for polynomial and rational matrices, SIAM J. Matr. Anal. Appl., Vol. 43(3):1354-1381, 2022. PDF
170
T. Laudadio, N. Mastronardi, P. Van Dooren, Computing Gaussian quadrature rules with high relative accuracy, Numerical Algorithms, doi.org/10.1007/s11075-022-01297-9, 2022. PDF
171
G. Barbarino, V. Noferini, P. Van Dooren, On role extraction for digraphs via neighborhood pattern similarity, Physical Review E, Vol. 106, 054301, 2022. PDF
172
V. Noferini, P. Van Dooren, On computing root polynomials and minimal bases of matrix pencils, Lin. Alg. Appl., Vol. 658:86-115, 2023. PDF
173
F. Dopico, M.C. Quintana, P. Van Dooren, Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations, Calcolo, Vol. 60(1):7, 2023. PDF
174
T. Mitchell, P. Van Dooren, Root-max problems, Hybrid Expansion-Contraction and quadratically-convergent optimization of passive systems, SIAM J. Matr. Anal. Appl., Vol. 44(2), 2023. PDF
175
V. Noferini, P. Van Dooren, Root vectors of polynomial and rational matrices: Theory and computation, Lin. Alg. Appl., Vol.656:510-540, 2023. PDF
176
N. Mastronardi, M. Van Barel, R. Vandebril, P. Van Dooren, Rational QZ steps with perfect shifts, Numerical Algorithms, doi.org/10.1007/s11075-023-01600-2, 2023. PDF
177
T. Laudadio, N. Mastronardi, P. Van Dooren, On computing modified moments for half-range Hermite weights, Numerical Algorithms, 2022. PDF
178
V. Noferini, P. Van Dooren, Revisiting the matrix polynomial greatest common divisor, SIAM J. Matr. Anal. Appl., 2023. PDF
179
J. Berkhout, B. Heidergott, P. Van Dooren, Perturbation and inverse problems of stochastic matrices, SIAM J. Matr. Anal. Appl., 2023. PDF
180
F.M. Dopico, S. Marcaida, M.C. Quintana, P. Van Dooren, A different point of view: linearizations of matrix polynomials as Rosenbrock's system matrices, Lin. Alg. Appl., 2023. PDF