Published 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. 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] 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. SIAM J. Sci. Statist. Comput., 8:210--221, May 1987. PDF

[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. SIAM J. Sci. Statist. Comput., 9:516--530, May 1988. PDF

[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. SIAM J. Matrix Anal. Appl., 9:77--89, January 1988. PDF

[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. Alg. Appl., 137--138:663--697, 1990. PDF

[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. SIAM J. Matrix Anal. Appl., 13(4):1015--1038, October 1992. PDF

[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. SIAM J. Matrix Anal. Appl., 14(2):353--371, April 1993. PDF

[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. Alg. Appl., 241/243:343--388, July 1996. PDF

[56] 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

[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. SIAM J. Matrix Anal. Appl., 22(1):1--19, 2000. PDF

[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. SIAM Review, 44(1):57--73, 2002. PDF

[67] 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

[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. SIAM J. Matrix Anal. Appl., 25(1):57--79, 2003. PDF

[73] 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

[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. SIAM J. Matrix Anal. Appl., 26(1):70--96, 2004. PDF

[82] 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

[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. SIAM Review, 46(4):647--666, 2004. PDF

[84] 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

[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. SIAM J. Matrix Anal. Appl., 27(3):876--890, 2006. PDF

[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. SIAM J. Matrix Anal. Appl., 28(1):253--263, 2006. PDF

[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. SIAM Journal on Matrix Analysis and Applications, 30(1):324--345, 2008. PDF

[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, 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

[100] P. Van Dooren, K.A. Gallivan, P.-A. Absil, H2-optimal model reduction of MIMO systems, Applied Mathematics Letters, 21:12761273, 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):364376, 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, SIAM J. Matr. Anal. Appl., Vol.31(4):1812--1834, 2010. PDF

[108] 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

[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

Submitted papers

[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 SIAM J. Matr. Anal. Appl., 2008. PDF

[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