[1] P.
Van Dooren. Reducing subspaces : definitions, properties and algorithms.
Matrix Pencils, 973:58--73, 1983. PDF
[2] P.
Van Dooren and M. Verhaegen. On the use of unitary state-space transformations.
Linear Algebra and its Role in Linear System Theory, 47:447--463,
1985. PDF
[3] A.
Bojanczyk, R. Brent, P. Van Dooren, and F. de Hoog. Downdating the Cholesky
factorization. Algorithms and Applications on Vector and Parallel
Computers, Eds teRiele et al., pages 307--323, 1987. PDF
[4] J.P.
Charlier, M. Vanbegin, and P. Van Dooren. Systolic algorithms for
digital signal processing and control. Advanced Computing Concepts and
Techniques in Control Engineering, pages 409--433, 1988.
[5] M.
Verhaegen and P. Van Dooren. New insights in the numerical reliability
properties of existing Kalman filter implementations. Advances of Control
and Dynamic Sytems, pages 1--45, 1988.
[6] M.
Moonen, P. Van Dooren, and J. Vandewalle. SVD-updating for tracking slowly
time-varying systems. a parallel implementation. Signal Processing,
Scattering and Operator Theory, and Numerical Methods, pages 487--494,
1990.
[7] P.
Van Dooren. Polynomial matrix factorizations via recursive pole-zero
cancelation. Signal Processing, Scattering and Operator Theory, and
Numerical Methods, pages 315--322, 1990. PDF
[8] B.
Kagstrom and P. Van Dooren. Additive decomposition of a transfer matrix with respect
to a specified region. Signal Processing, Scattering and Operator Theory,
and Numerical Methods, pages 469--477, 1990.
[9] Th.
Beelen and P. Van Dooren. Computational aspects of the
[10] M.
Moonen, P. Van Dooren, and J. Vandewalle. Combined Jacobi type algorithms in
signal processing. The 2nd International Workshop on SVD and Signal
Processing., pages 83--88, 1990.
[11] A. Bojanczyk, M.
Ewerbring, F. Luk, and P. Van Dooren. An accurate product SVD algorithm.
The 2nd International Workshop on SVD and Signal Processing.,
pages 217--228, 1990.
[12] P. Van Dooren. Structured linear
algebra problems in digital signal processing. Numerical Linear Algebra,
Digital Signal Processing and Parallel Algorithms, 137--138:361--384,
1991.
[13] M. Moonen and P.
Van Dooren. Updating the SVD and URV decomposition in parallel. IMA
workshop on Linear Algebra in Signal Processing, April 1992.
[14] A. Bojanczyk and
P. Van Dooren. On propagating orthogonal transformations in a product of 2x2
triangular matrices. Numerical Linear Algebra, pages 1--9, 1993. PDF
[15] A.
Laub and P. Patel, R. Van Dooren. Numerical linear algebra aspects of systems
and control algorithms. Numerical Linear Algebra Techniques for Systems
and Control, pages 1--35, 1993. PDF
[16] D.
Boley and P. Van Dooren. Placing zeroes and the Kronecker canonical form. Proceedings
NATO ASI on Linear Algebra for Large Scale and Real-Time Applications, Leuven,
pages 353--354, 1993. PDF
[17] A.
Bojanczyk and P. Van Dooren. Reordering diagonal blocks in the real Schur form.
Proceedings NATO ASI on Linear Algebra for Large Scale and Real-Time
Applications, Leuven, pages 351--352, 1993. PDF
[18] P.
Van Dooren. Some numerical challenges in Control Theory. Linear Algebra
for Control Theory (Eds Wyman, Van Dooren, pages 177--189, 1994. PDF
[19] J.
Sreedhar and P. Van Dooren. Periodic Schur form and some matrix equations. Systems
and Networks : Mathematical Theory and Applications, 77:339--362, 1994.
Mathematical Research. PDF
[20] K.
Gallivan, S. Thirumalai, and P. Van Dooren. A block Toeplitz look-ahead Schur
algorithm. SVD in Signal Processing III, Algorithms, Architectures and
Applications, pages 199--206, 1995. PDF
[21] G.
Golub, K. Solna, and P. Van Dooren. Computing the singular values of products
and quotients of matrices. SVD in Signal Processing III, Algorithms,
Architectures and Applications, pages 139--147, 1995. PDF
[22] M.
Stewart and P. Van Dooren. An updating algorithm for on-line MIMO system
identification. SVD in Signal Processing III, Algorithms, Architectures
and Applications, pages 441--448, 1995. PDF
[23] A.
Laub, R. Patel, and P. Van Dooren. Numerical and computational issues in linear
control and system theory. CRC Controls Handbook, CRC pres Inc.,
pages 399--414, 1996. PDF
[24] J.
Sreedhar, P. Van Dooren, and A. Tits. A fast algorithm to compute the real
structured stability radius. Int. Series of Numer. Math.,
121:219--230, 1996. PDF
[25] K.
Gallivan, E. Grimme, D. Sorensen, and P. Van Dooren. On some modifications of
the Lanczos algorithm and the relation with Pade approximations. Mathematical
Research Series, 7:87--116, 1996. PDF
[26] P.
Van Dooren and R. Sepulchre. Shift policies in QR-like algorithms and feedback
control of self-similar flows. Open problems in mathematical systems
theory and control, 30:245--249, 1998. PDF
[27] E.
Grimme, K. Gallivan, and P. Van Dooren. On some recent developments in
projection-based model reduction. ENUMATH-97, pages 98--113, 1998.
PDF
[28] P.
Van Dooren. Software for control systems analysis and design, singular value
decomposition. Encyclopedia of Electrical and Electronics Engineering,
pages 464--473, 1999. PDF
[29] P.
Van Dooren. Orthogonal matrix decompositions in systems and control. Error
Control and Adaptivity in Scientific Computing, Eds. H. Bulgak, C. Zenger,
C-536:159--175, 1999. PDF
[30] K.
Gallivan, E. Grimme, and P. Van Dooren. Model reduction of large-scale systems
: rational Krylov versus balancing techniques. Error Control and
Adaptivity in Scientific Computing, Eds. H. Bulgak, C. Zenger,
C-536:177--190, 1999. PDF
[31] P.
Van Dooren. Gramian based model reduction of large-scale dynamical systems. in
Numerical Analysis 1999, pages 231--247, 2000. PDF
[32] A.
Laub, R. Patel, and P. Van Dooren. Numerical and computational issues in linear
control and system theory. in Control Systems Fundamentals, Chap.
21:403--418, 2000.
[33] Y. Chahlaoui, K.
Gallivan, and P. Van Dooren. An incremental method for computing
dominant singular subspaces. Computational Information Retrieval, pages
61--71, 2001. PDF
[34] N.
Mastronardi, P. Van Dooren, and S. Van Huffel. On the stability of the
generalized Schur algorithm. Lecture Notes in Computer Science.,
pages 560--567, 2001. PDF
[35] V.
Blondel and P. Van Dooren. Similarity matrices for pairs of graphs. Automata,
Languages and Programming, Eds. Baeten et al., ICALP 2003, Lecture Notes
Comp. Science 2719:739--750, 2003. PDF
[36] A.
Vandendorpe and P. Van Dooren. Projection of state space realizations. Unsolved
Problems in Mathematical Systems and Control Theory, Eds. V. Blondel and
A. Megretski, Problem 1.13, pages 58--63, Princeton University Press,
[37] Y.
Chahlaoui and P. Van Dooren. Model reduction of time-varying systems. Model
Reduction of Dynamical Systems , Eds. P. Benner et al., LNCSE
45:131--148, Springer Verlag, 2005. PDF
[38] Y. Chahlaoui, K.
Gallivan, A. Vandendorpe and P. Van Dooren. Model reduction of second
order systems. Model Reduction of Dynamical Systems , Eds. P.
Benner et al., LNCSE 45:149--172, Springer Verlag, 2005. PDF
[39] Y.
Chahlaoui and P. Van Dooren. Benchmark examples for model reduction of linear
time invariant dynamical systems. Model Reduction of Dynamical Systems ,
Eds. P. Benner et al., LNCSE 45:379--392, Springer Verlag, 2005. PDF
[40] B.
Haut, G. Bastin, P. Van Dooren, Maximal nonnegative perturbation of a
nonnegative matrix. Positive Systems , Eds. C. Commault and N.
Marchand, LNCIS 341:201--208, Springer Velrag, 2006. PDF
[41] V. Blondel, C. de
Kerchove, E. Huens, P. Van Dooren, Social leaders in graphs. Positive
Systems , Eds. C. Commault and N. Marchand, LNCIS 341:231--237, Springer
Verlag, 2006. PDF
[42] A. Vandendorpe and P. Van Dooren. Model reduction of interconnected systems. Model Order Reduction: Theory, Research Aspects and Applications, Eds. W. Schilders, H. van der Vorst and J. Rommes, Mathematics in Industry Series, Vol. 13:255--270, Springer Verlag, 2008. PDF
[43] Y.
Chahlaoui, F. Tisseur, P. Van Dooren, A new approach for MOR of second order
dynamical systems, in Systems Theory: Modelling, Analysis and Control, A. El
Jai and L. A and
[44] C. de Kerchove, P. Van Dooren, Reputation Systems and Nonnegativity, In Positive Systems, Lecture Notes in Control and Information Sciences, 389:3--16, Springer Verlag, 2009. PDF
[45] C. Samir, D. Laurent, P.-A. Absil, K. Gallivan, P. Van Dooren, Elastic Morphing of 2D and 3D Objects on a Shape Manifold, in Lecture Notes in Computer Science, 5627:63--572, 2009. PDF
[46] N.-D. Ho, P. Van Dooren, V. Blondel, Descent
methods for Nonnegative Matrix Factorization, Numerical Linear Algebra in
Signals, Systems and Control Lecture Notes in Electrical Engineering,
Eds. Van Dooren et al, Springer Verlag, accepted, 2008. PDF
[47] T. Cason, P.-A. Absil, P. Van Dooren, Comparing Two Matrices by Means of Isometric Projections, Numerical Linear Algebra in Signals, Systems and Control Lecture Notes in Electrical Engineering, Eds. Van Dooren et al, Springer Verlag, accepted, 2008. PDF
[48] A. Laub, R. Patel, P. Van Dooren, Numerical and computational issues in linear control and system theory, in The Control Handbook 2nd Edition, Ed. William S. Levine, CRC Press, 2010. PDF