[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.
[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.
[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.
[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. 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.
[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] M. Verhaegen, J. Vandewalle, and P. Van
Dooren. A robust and efficient technique for dealing
with time-varying instrumental bias in linear filtering. IASTED J.
Comp. Contr., 12(3):96--99, 1984. PDF
[19] P. Van Dooren. Deadbeat control, a special
inverse eigenvalue problem. BIT,
24:681--699, December 1984. PDF
[20] P. Van Dooren. Reduced order observers :
a new algorithm and proof. Systems Control Lett.,
IV(5):243--251, July 1984. PDF
[21] J.
Kautsky, N. Nichols, and P. Van Dooren.
Robust pole assignment in linear state feedback. Int. J. Control, 41:1129--1156, May 1985. PDF
[22] M. Verhaegen and P. Van Dooren. Numerical
aspects of different Kalman filter implementations. IEEE
Trans. Automat. Control, 31:907--917, October 1986. PDF
[23] 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
[24] M. Verhaegen and P. Van Dooren. A reduced order observer for descriptor systems. Systems Control Lett., 8:29--37, 1986. PDF
[25] A. Bojanczyk, R. Brent, P. Van Dooren, and
F. de Hoog. A note on downdating
the Cholesky factorization.
[26] 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
[27] P. Van Dooren and M. Verhaegen. Condensed
forms for efficient time invariant Kalman filtering.
[28] 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
[29] 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
[30] 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
[31] J.P. Charlier, M. Vanbegin, and P. Van
Dooren. Systolic algorithms for digital signal
processing. Philips J. Res., 43:268--290, September 1988. PDF
[32] 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
[33] Th.
Beelen and P. Van Dooren.
A pencil approach for embedding a polynomial matrix into a unimodular matrix.
[34] J.P. Charlier and P. Van Dooren. A systolic algorithm for Riccati and Lyapunov equations. Maths.
Contr. Sig. Sys., 2:109--136, 1989. PDF
[35] 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
[36] P. Van Dooren. Numerical aspects of system and
control algorithms. Journal A, 30:25--32,
1989. PDF
[37] P. Van Dooren. Rational and polynomial matrix
factorizations via recursive pole-zero cancellation. Lin.
[38] 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
[39] A. Bojanczyk, M. Ewerbring, F. Luk, and P. Van Dooren. An
accurate product SVD algorithm. Signal Processing,
25(2):189--201, November 1991. PDF
[40] M. Moonen, P. Van Dooren, and J.
Vandewalle. A systolic algorithm for QSVD updating. Signal Processing, 25(2):203--213, November 1991. PDF
[41] 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
[42] 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
[43] M. Moonen, P. Van Dooren, and J.
Vandewalle. An SVD updating algorithm for subspace tracking.
[44] 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
[45] M. Moonen, P. Van Dooren, and J.
Vandewalle. A systolic array for SVD updating.
[46] 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
[47] D. Boley and P. Van Dooren. Placing
zeroes and the Kronecker canonical form. Circuits
Signals and Systems, 13:783--802, 1994. PDF
[48] 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
[49] 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
[50] K. Gallivan, E. Grimme, and P. Van Dooren.
Asymptotic waveform evaluation via a Lanczos
method. Appl. Math. Lett.,
7:75--80, 1994. PDF
[51] A. Bjorck, E. Grimme, and P. Van Dooren. An implicit shift bidiagonalization
algorithm for ill-posed system. BIT, pages 510--534, 1994. PDF
[52] P. Misra, V. Syrmos, and P. Van Dooren. Pole-zero representation of descriptor systems. Automatica, 31(6):907--912, June 1995. PDF
[53] 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
[54] 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
[55] K. A. Gallivan, S. Thirumalai, P. Van Dooren, and V. Vermaut. High
performance algorithms for Toeplitz and block Toeplitz matrices. Lin.
[56] M. Stewart
and P. Van Dooren. Stability issues in the
factorization of structured matrices.
[57] 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
[58] J. Sreedhar and P. Van Dooren.
Periodic descriptor systems : solvability and conditionability.
IEEE Trans. Automat. Control,
pages 310--313, February 1999. PDF
[59] C. Paige and
P. Van Dooren. Sensitivity analysis of the Lanczos reduction. Numerical Linear Algebra with
Applications, pages 29--50, 1999. PDF
[60] K. Gallivan and P. Van Dooren. Rational
approximations of pre-filtered transfer functions via the Lanczos
algorithm. Numerical Algorithms, pages 331--342, 1999. PDF
[61] 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
[62] G. Golub, K. Solna, and P. Van Dooren. Computing
the SVD of a general matrix product/quotient.
[63] M. Stewart
and P. Van Dooren. Updating a generalized URV
decomposition. SIAM J. Matrix
Anal. Appl.,
22(2):479--500, 2000. PDF
[64] 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
[65] 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
[66] P.A. Absil, R. Mahoney, R. Sepulchre,
and P. Van Dooren. A Grassman-Rayleigh
quotient iteration for computing invariant subspaces.
[67] Y. Genin, R. Stefan, and P. Van Dooren.
Real and complex stability radii of polynomial matrices. Lin.
[68] 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
[69] 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
[70] 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
[71] 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
[72] Y. Genin, Y. Hachez, Y. Nesterov, and P.
Van Dooren. Optimization problems over positive pseudo-polynomial
matrices.
[73] Y. Chahlaoui, K. Gallivan, and P.
Van Dooren. Recursive calculation of dominant
singular subspaces.
[74] 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
[75] 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
[76] A. Varga and P. Van Dooren.
Computing the zeros of periodic descriptor systems. Systems Control Lett.,
50(5):371--381, 2003. PDF
[77] Y. Hachez and P. Van Dooren.
Elliptic and hyperbolic quadratic eigenvalue problems
and associated distance problems. Lin. Alg. Appl.,
371:31--44, 2003. PDF
[78] 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
[79] K. Gallivan, A. Vandendorpe, and P. Van
Dooren. Sylvester equations and projection-based model reduction. J.
Comp. Appl. Math., 162:213--229, 2004. PDF
[80] P. Van Dooren. The basics of developing numerical algorithms. IEEE
Control Systems Magazine, 18--27, 2004. PDF
[81] P.A. Absil, R. Sepulchre, P. Van Dooren, and R. Mahony. Cubically
convergent iterations for invariant subspace computation.
[82] H.Y. Fan,
W.W. Lin, and P. Van Dooren. A note on optimal
scaling of second order polynomial matrices.
[83] 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.
[84] K. Gallivan, A. Vandendorpe, and P.
Van Dooren. Model reduction of mimo
systems via tangential interpolation.
[85] N.D. Ho and
P. Van Dooren. On the pseudo-inverse of the Laplacian of a bipartite graph. Appl.
Math. Lett.,
2005. PDF
[86] V. Blondel, L. Ninove, and P. Van Dooren. An affine eigenvalue
problem on the nonnegative orthant. Lin. Alg. Appl., 404:69--84, 2005. PDF
[87] M. Stewart and P. Van Dooren. On
the factorization of hyperbolic and unitary transformations into rotations.
[88] D. Bouagada and P. Van Dooren.
Stability margins for generalized state space systems. Appl.
Math. Letters, 19:451--457, 2006.
PDF
[89] D. Lemonnier and P. Van Dooren.
Balancing regular matrix pencils.
[90] K. Gallivan, X. Rao, and P. Van Dooren. Singular Riccati
equations stabilizing large-scale systems. Lin. Alg. Appl., 415:359--372, 2006. PDF
[91] Y. Chahlaoui, D. Lemonnier, A.
Vandendorpe, and P. Van Dooren. Second-order balanced truncation. Lin.
Alg. Appl.,
415:373--384, 2006. PDF
[92] D. Chu and P. Van Dooren. A novel
numerical method for the exact model matching problem with stability. Automatica, 42:1697--1704, 2006. PDF
[93] K. Unneland, P. Van Dooren, O. Egeland, New schemes for positive real truncation, Modeling,
Identification and Control, 28(1):1--13, 2007. PDF
[94] 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
[95] 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
[96] 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
[97] C. Fraikin, Yu. Nesterov and P. Van Dooren. Optimizing the coupling between two isometric
projections of matices.
[98] 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
[99] A. Vandendorpe, N.-D. Ho,
[100] P. Van Dooren, K.A. Gallivan, P.-A. Absil, H2-optimal model reduction of MIMO systems, Applied
Mathematics Letters, 21:1276—1273, 2008.
PDF
[101] B. Haut, G. Bastin, P. Van Dooren, Maximal
nonnegative perturbation of a nonegative matrix, International
Journal of Robust and Nonlinear Control, 2007, 19(3):364—376, 2009. PDF
[102] 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
[103] P. Van Dooren, C. Fraikin, Similarity matrices for colored graphs, Bull. Belg. Math. Soc. Simon Stevin, 16:705--722, 2009. PDF
[104] 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
[105] 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
[106] P.-A.
Absil, P. Van Dooren. Two-sided Grassmann-Raleigh quotient
iteration, Numerische Mathematik, Vol.114:549--571, 2010. PDF
[107] C. deKerchove, P. Van Dooren. Iterative Filtering in Reputation Systems,
[108] N. Mastronardi, E.E. Tyrtyshnikov, P.Van Dooren, A fast algorithm
for updating and tracking the dominant kernel principal components,
[109] 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
[110] V. Blondel, N.-D. Ho and P. Van Dooren. Weighted
nonnegative matrix factorization and face feature extraction, submitted to Image
and Vision Computing, 2007. PDF
[111] P.
Van Dooren, K.A. Gallivan,
P.-A. Absil, H2-optimal model reduction with
higher order poles, submitted to
[112] S. Melchior, V. Legat, P. Van Dooren, A. Wathen, Preconditioned iterative solvers for Saddle-Point oceanic applications, submitted to International Journal for Numerical Methods in Fluids, 2008. PDF
[113] E. Vandenbrande, A. Vandendorpe, Y. Nesterov, P. Van Dooren, The Correlation Smile Recovery, submitted to The Journal of Credit Risk, 2009. PDF
[114] C.G. Baker, K.A. Gallivan, P. Van Dooren, Low-Rank Incremental Methods for Computing Dominant Singular Subspaces, submitted to Linear Algebra and its Applications, 2009. PDF