Paul Van Dooren Professor of Mathematical Engineering
Numerical Analysis

P. Van Dooren. Reducing subspaces: definitions, properties and algorithms. Matrix Pencils, 973:58--73, 1983.
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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

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

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.

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.

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.

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

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.

Th. Beelen and P. Van Dooren. Computational aspects of the Jordan canonical form. Reliable Numerical Computation, Eds. Cox and Hammarling, pages 57--72, 1990.   PDF

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.

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.

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.

M. Moonen and P. Van Dooren. Updating the SVD and URV decomposition in parallel. IMA workshop on Linear Algebra in Signal Processing, April 1992.

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

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

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

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

P. Van Dooren. Some numerical challenges in Control Theory. Linear Algebra for Control Theory (Eds Wyman, Van Dooren, pages 177--189, 1994.   PDF

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

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

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

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

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

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

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

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

E. Grimme, K. Gallivan, and P. Van Dooren. On some recent developments in projection-based model reduction. ENUMATH-97, pages 98--113, 1998.   PDF

P. Van Dooren. Software for control systems analysis and design, singular value decomposition. Encyclopedia of Electrical and Electronics Engineering, pages 464--473, 1999.   PDF

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

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

P. Van Dooren. Gramian based model reduction of large-scale dynamical systems. in Numerical Analysis 1999, pages 231--247, 2000.
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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.

Y. Chahlaoui, K. Gallivan, and P. Van Dooren. An incremental method for computing dominant singular subspaces. Computational Information Retrieval, pages 61--71, 2001.   PDF

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

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

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, Princeton, NJ, 2004.   PDF

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

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

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

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

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

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

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 E. Zerrik (Eds), Presses Universitaires de Perpignan, pp. 153--157, 2009.   PDF

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

C. Samir, P. Van Dooren, D. Laurent, K. Gallivan, P.-A. Absil, Elastic Morphing of 2D and 3D Objects on a Shape Manifold, in Lecture Notes in Computer Science, 5627:63--572, 2009.   PDF

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

T. Cason, P.-A. Absil, P. Van Dooren, Comparing Two Matrices by Means of Isometric Projections, in Numerical Linear Algebra in Signals, Systems and Control, Lecture Notes in Electrical Engineering, Eds. Van Dooren et al, Springer Verlag, Vol.80, pp.77-93, 2011.   PDF

N.-D. Ho, P. Van Dooren, V. Blondel, Descent methods for Nonnegative Matrix Factorization, in Numerical Linear Algebra in Signals, Systems and Control, Lecture Notes in Electrical Engineering, Eds. Van Dooren et al, Springer Verlag, Vol.80, pp.251-293, 2011.   PDF

C. Samir, P.-A. Absil, P. Van Dooren, 2D and 3D Objects Morphing Using Shape Manifold Techniques, in Manifold Learning Theory and Application, Eds Yunqian Ma and Yun Fu, CRC Press, Boca Raton, Fl., 2012.   PDF

V. Mehrmann, P. Van Dooren, Basic numerical methods and software for computer aided control systems design, in Encyclopedia of Systems and Control, Springer Verlag, 2015.   PDF

N. Mastronardi, H. Taeter, P. Van Dooren, On computing eigenvectors of symmetric tridiagonal matrices, in Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications Eds D. Bini, F. Di Benedetto, E. Tyrtyshnikov, and M. Van Barel, pp. 181--195, 2019.   PDF

C. deKerchove, P. Van Dooren, A voting system with a fixed point, in New Trends in Analysis and Geometry, Eds M. Khamsi, A. Alkhaldi and M. Alaoui, pp. 1-13, Cambridge Scholars Publishing, 2020.   PDF