[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] 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.
[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.
[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.
[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.
[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.
[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.
[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.
[55] M. Stewart
and P. Van Dooren. Stability
issues in the factorization of structured matrices.
[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.
[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.
[66] Y. Genin, R.
Stefan, and P. Van Dooren. Real and complex stability radii of polynomial
matrices. Lin.
[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.
[72] Y. Chahlaoui,
K. Gallivan, and P. Van Dooren. Recursive calculation of dominant singular
subspaces.
[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.
[81] H.Y. Fan,
W.W. Lin, and P. Van Dooren. A note on optimal scaling of second order
polynomial matrices.
[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.
[83] K. Gallivan,
A. Vandendorpe, and P. Van Dooren. Model reduction of mimo systems via
tangential interpolation.
[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.
[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.
[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.
[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,
[99] P. Van Dooren,
K.A. Gallivan, P.-A. Absil, H2-optimal model reduction of MIMO systems, Applied
Mathematics Letters, 21:1276—1273, 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):364—376, 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,
[107] N.
Mastronardi, E.E. Tyrtyshnikov, P.Van Dooren, A fast algorithm for updating and
tracking the dominant kernel principal components,
[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,
[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
[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