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] 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, 21:12761273, 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):364376, 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. PDF

Submitted papers

[157] P. Benner, P. Goyal, P. Van Dooren, Identification of Port Hamiltonian Systems from Frequency Response Data, submitted to Systems and Control Letters, 2019. PDF

[158] F. Dopico, M.C. Quintana, P. Van Dooren, Linear system matrices of rational transfer functions, submitted to Festschrift Th. Antoulas, 2019. PDF

[159] 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 (Festschrift Mehrmann), 2020. PDF

[160] 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, submitted to Linear Algebra and its Applications, 2020. PDF