OPTEC - K.U.Leuven Center of Excellence: Optimization in Engineering

IT (Articles in internationally reviewed academic journals)

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Unconstrained optimization of real functions in complex variables. SIAM Journal on Optimization.

Frederix, K., Delvaux, S., Van Barel, M. (2012). An algorithm for computing the eigenvalues of block companion matrices. Numerical Algorithms.

Humet Cienfuegos Jovellanos, M., Van Barel, M. (2012). When is the Uvarov transformation positive definite?. Numerical Algorithms, 59 (1), 51-62.

Van Barel, M., Van Assche, W., Gonzalez-Vera, P., Levrie, P. (2010). Rolling Waves in Leuven 2008: An International Workshop on the occasion of Adhemar Bultheel's 60th birthday. Preface. Journal of Computational and Applied Mathematics, 235 (4), 879-881.

Frederix, K., Van Barel, M. (2010). Solving a large dense linear system by adaptive cross approximation. Journal of Computational and Applied Mathematics, 234 (11), 3181-3195.

Van Barel, M., Vanberghen, Y., Van Dooren, P. (2010). Using semiseparable matrices to compute the SVD of a general matrix product/quotient. Journal of Computational and Applied Mathematics, 234 (11), 3175-3180.

Chesnokov, A., Van Barel, M. (2010). A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. Journal of Computational and Applied Mathematics, 234 (5), 1485-1491.

Van Barel, M., Vandebril, R., Van Dooren, P., Frederix, K. (2010). Implicit double shift QR-algorithm for companion matrices. Numerische Mathematik, 116 (2), 177-212.

Bultheel, A., Cruz Barroso, R., Van Barel, M. (2010). On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Calcolo, 47 (1), 21-48.

Vandebril, R., Van Barel, M., Mastronardi, N. (2010). A multiple shift QR-step for structured rank matrices. Journal of Computational and Applied Mathematics, 233 (5), 1326-1344.

Bultheel, A., Van gucht, P., Van Barel, M. (2010). Orthogonal rational functions with real coefficients and semiseparable matrices. Journal of Computational and Applied Mathematics, 233 (5), 1192-1201.

Delvaux, S., Van Barel, M. (2010). Structures preserved by generalized inversion and Schur complementation. Linear Algebra and Its Applications, 432, 817-836.

Chesnokov, A., Deckers, K., Van Barel, M. (2010). A numerical solution of the constrained weighted energy problem. Journal of Computational and Applied Mathematics, 235 (4), 950-965.

Van Barel, M., Chesnokov, A. (2010). A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. Numerical Algorithms, 55 (2-3), 383-402.

Delvaux, S., Frederix, K., Van Barel, M. (2009). Transforming a hierarchical matrix into a unitary-weight representation. Electronic Transactions on Numerical Analysis, 33, 163-188.

Vandebril, R., Van Barel, M., Mastronardi, N. (2009). A quasiseparable approach to solve the definite generalized eigenvalue problem. SIAM Journal on Matrix Analysis and Applications, 31 (1), 154-174.

Vandebril, R., Van Barel, M., Mastronardi, N. (2009). A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. Electronic Transactions on Numerical Analysis, 33, 126-150.

Frederix, K., Gemignani, L., Van Barel, M. (2009). On the fast reduction of symmetric rationally generated Toeplitz matrices to tridiagonal form. Electronic Transactions on Numerical Analysis, 35, 129-147.

Mastronardi, N., Van Barel, M., Vandebril, R. (2009). On the computation of the nullspace of Toeplitz-like matrices. Electronic Transactions on Numerical Analysis, 33, 151-162.

Van Barel, M., Ikramov, K., Chesnokov, A. (2008). A continuation method for solving symmetric Toeplitz systems. Computational Mathematics and Mathematical Physics, 48 (12), 2126-2139.

Delvaux, S., Van Barel, M. (2008). Rank-deficient submatrices of Fourier matrices. Linear Algebra and Its Applications, 429 (7), 1587-1605.

Laudadio, T., Mastronardi, N., Van Barel, M. (2008). Computing a lower bound of the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. IEEE Transactions on Information Theory, 54 (10), 4726-4731.

Vanberghen, Y., Vandebril, R., Van Barel, M. (2008). A QZ-method based on semiseparable matrices. Journal of Computational and Applied Mathematics, 218 (2), 482-491.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A fast algorithm for the recursive calculation of dominant singular subspaces. Journal of Computational and Applied Mathematics, 218 (2), 238-246.

Delvaux, S., Van Barel, M. (2008). Unitary rank structured matrices. Journal of Computational and Applied Mathematics, 215 (1), 49-78.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. Numerical Linear Algebra With Applications, 15 (4), 327-337.

Delvaux, S., Van Barel, M. (2008). Eigenvalue computation for unitary rank structured matrices. Journal of Computational and Applied Mathematics, 213 (1), 268-287.

Delvaux, S., Marco, A., Martinez, J., Van Barel, M. (2008). Fast computation of determinants of Bezout matrices and application to curve implicitization. Linear Algebra and Its Applications, 430 (1), 27-33.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. Linear Algebra and its Applications, 428 (2-3), 479-491.

Gemignani, L., Van Barel, M., Delvaux, S. (2008). Fast QR factorization of Cauchy-like matrices. Linear Algebra and its Applications, 428 (2-3), 697-711.

Plestenjak, B., Van Barel, M., Van Camp, E. (2008). A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. Linear Algebra and its Applications, 428 (2-3), 586-599.

Vandebril, R., Van Barel, M., Mastronardi, N. (2008). A parallel QR-factorization/solver of quasiseparable matrices. Electronic Transactions on Numerical Analysis, 30, 144-167.

Delvaux, S., Van Barel, M. (2008). A QR-based solver for rank structured matrices. SIAM Journal on Matrix Analysis and Applications, 30 (2), 464-490.

Vandebril, R., Van Barel, M., Mastronardi, N. (2008). Rational QR-iteration without inversion. Numerische Mathematik, 110 (4), 561-575.

Delvaux, S., Van Barel, M. (2007). Rank-deficient submatrices of Kronecker products of Fourier matrices. Linear Algebra and its Applications, 426 (2-3), 349-367.

Vandebril, R., Mastronardi, N., Van Barel, M. (2007). A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. Journal of Computational and Applied Mathematics, 198 (1), 75-97.

Delvaux, S., Van Barel, M. (2007). A Hessenberg reduction algorithm for rank structured matrices. SIAM Journal on Matrix Analysis and Applications, 29 (3), 895-926.

Delvaux, S., Van Barel, M. (2007). A Givens-weight representation for rank structured matrices. SIAM Journal on Matrix Analysis and Applications, 29 (4), 1147-1170.

Vandebril, R., Mastronardi, N., Van Barel, M. (2007). Solving linear systems with a Levinson-like solver. Electronic Transactions on Numerical Analysis, 26, 243-269.

Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2006). On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. Numerische Mathematik, 104 (2), 205-239.

Vandebril, R., Van Barel, M. (2006). A note on the nullity theorem. Journal of Computational and Applied Mathematics, 189 (1-2), 179-190.

Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2006). On computing the eigenvectors of a class of structured matrices. Journal of Computational and Applied Mathematics, 189 (1-2), 580-591.

Delvaux, S., Van Barel, M. (2006). Rank structures preserved by the QR-algorithm: The singular case. Journal of Computational and Applied Mathematics, 189 (1-2), 157-178.

Helsen, S., Van Barel, M. (2006). A numerical solution of the constrained energy problem. Journal of Computational and Applied Mathematics, 189 (1-2), 442-452.

Vandebril, R., Van Barel, M. (2006). Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoli(Lanczos)-Ritz values. Linear Algebra and Its Applications, 414 (2-3), 435-444.

Vandebril, R., Golub, G., Van Barel, M. (2006). A small note on the scaling of symmetric positive definite semiseparable matrices. Numerical Algorithms, 41 (3), 319-326.

Delvaux, S., Van Barel, M. (2006). Structures preserved by the QR-algorithm. Journal of Computational and Applied Mathematics, 187 (1), 29-40.

Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2006). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Numerische Mathematik, 102 (4), 709-726.

Delvaux, S., Van Barel, M. (2006). Structures preserved by Schur complementation. SIAM Journal on Matrix Analysis and Applications, 28 (1), 229-252.

Delvaux, S., Van Barel, M. (2006). Structures preserved by matrix inversion. SIAM Journal on Matrix Analysis and Applications, 28 (1), 213-228.

Van Barel, M., Van Camp, E., Mastronardi, N. (2005). Orthogonal similarity transformation into block-semiseparable matrices of semi separability rank k. Numerical Linear Algebra With Applications, 12 (10), 981-1000.

Bultheel, A., Van Barel, M., Rolain, Y., Pintelon, R. (2005). Numerically robust transfer function modeling from noisy frequency domain data. IEEE Transactions on Automatic Control, 50 (11), 1835-1839.

Codevico, G., Heinig, G., Van Barel, M. (2005). A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. Numerical Linear Algebra With Applications, 12 (8), 699-713.

Vandebril, R., Van Barel, M., Mastronardi, N. (2005). A note on the representation and definition of semiseparable matrices. Numerical Linear Algebra With Applications, 12 (8), 839-858.

Vandebril, R., Van Barel, M., Mastronardi, N. (2005). An implicit QR algorithm for symmetric semiseparable matrices. Numerical Linear Algebra With Applications, 12 (7), 625-658.

Mastronardi, N., Van Camp, E., Van Barel, M. (2005). Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. Numerical Algorithms, 39 (4), 379-398.

Bultheel, A., Cuyt, A., Van Assche, W., Van Barel, M., Verdonk, B. (2005). Generalizations of orthogonal polynomials. Journal of Computational and Applied Mathematics, 179 (1-2), 57-95.

Delvaux, S., Van Barel, M. (2005). Orthonormal rational function vectors. Numerische Mathematik, 100 (3), 409-440.

Mastronardi, N., Van Barel, M., Vandebril, R. (2005). A note on the recursive calculation of dominant singular subspaces. Numerical Algorithms, 38 (4), 237-242.

Van Barel, M., Vandebril, R., Mastronardi, N. (2005). An orthogonal similarity reduction of a matrix into semiseparable form. SIAM Journal on Matrix Analysis and Applications, 27 (1), 176-197.

Helsen, S., Kuijlaars, A., Van Barel, M. (2005). Convergence of the isometric Arnoldi process. SIAM Journal on Matrix Analysis and Applications, 26 (3), 782-809.

Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). A Lanczos-like reduction of symmetric structured matrices to semiseparable form. Calcolo, 42 (3-4), 227-241.

Vandebril, R., Van Barel, M., Golub, G., Mastronardi, N. (2005). A bibliography on semiseparable matrices. Calcolo, 42 (3-4), 249-270.

Vandebril, R., Van Barel, M., Mastronardi, N. (2005). An implicit Q theorem for Hessenberg-like matrices. Mediterranean Journal of Mathematics, 2 (3), 259-275.

Van Barel, M., Fasino, D., Gemignani, L., Mastronardi, N. (2005). Orthogonal rational functions and structured matrices. SIAM Journal on Matrix Analysis and Applications, 26 (3), 810-829.

Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A QR-method for computing the singular values via semiseparable matrices. Numerische Mathematik, 99 (1), 163-195.

Codevico, G., Pan, V., Van Barel, M. (2004). Newton-like iteration based on a cubic polynomial for structured matrices. Numerical algorithms, 36 (4), 365-380.

Pan, V., Van Barel, M., Wang, X., Codevico, G. (2004). Iterative inversion of structured matrices. Theoretical computer science, 315 (2-3), 581-592.

Bultheel, A., Van Barel, M., Van gucht, P. (2004). Orthogonal basis functions in discrete least-squares rational approximation. Journal of Computational and Applied Mathematics, 164-165, 175-194.

Van Camp, E., Mastronardi, N., Van Barel, M. (2004). Two fast algorithms for solving diagonal-plus-semiseparable linear systems. Journal of computational and applied mathematics, 164, 731-747.

Diele, F., Mastronardi, N., Van Barel, M., Van Camp, E. (2004). On computing the spectral decomposition of symmetric arrowhead matrices. Computational Science and Its Application, 3044, 932-941.

Kravanja, P., Sakurai, T., Sugiura, H., Van Barel, M. (2003). A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions. Journal of computational and applied mathematics, 161 (2), 339-347.

Bini, D., Codevico, G., Van Barel, M. (2003). Solving Toeplitz least squares problems by means of Newton's iteration. Numerical algorithms, 33 (1-4), 93-103.

Van Barel, M., Heinig, G., Kravanja, P. (2003). A superfast method for solving Toeplitz linear least squares problems. Linear algebra and its applications, 366, 441-457.

Sakurai, T., Kravanja, P., Sugiura, H., Van Barel, M. (2003). An error analysis of two related quadrature methods for computing zeros of analytic functions. Journal of computational and applied mathematics, 152 (1-2), 467-480.

Kravanja, P., Sakurai, L., Van Barel, M. (2003). Error analysis of a derivative-free algorithm for computing zeros of holomorphic functions. Computing, 70 (4), 335-347.

Hendrickx, J., Van Barel, M. (2002). Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform. Linear algebra and its applications, 343, 211-232.

Hendrickx, J., Van Barel, M. (2002). A Kronecker product variant of the FACR method for solving the generalized Poisson equation. Journal of computational and applied mathematics, 140 (1-2), 369-380.

Van Barel, M., Heinig, G., Kravanja, P. (2001). A stabilized superfast solver for nonsymmetric Toeplitz systems. SIAM journal on matrix analysis and applications, 23 (2), 494-510.

Van Barel, M., Ptak, V., Vavrin, Z. (2001). Bezout and Hankel matrices associated with row reduced matrix polynomials, Barnett-type formulas. Linear algebra and its applications, 332, 583-606.

Van Barel, M., Heinig, G., Kravanja, P. (2001). An algorithm based on orthogonal polynomial vectors for Toeplitz least squares problems. Numerical Analysis and Its Applications, 1988, 27-34.

Van Gestel, T., Van Barel, M., De Moor, B. (2000). On an alternative parameterization of the solutions of the partial realization problem. Acta Applicandae Mathematicae, 61 (1-3), 317-331.

Kravanja, P., Van Barel, M., Ragos, O., Vrahatis, M., Zafiropoulos, F. (2000). ZEAL: A mathematical software package for computing zeros of analytic functions. Computer physics communications, 124 (2-3), 212-232.

Kravanja, P., Van Barel, M. (2000). Coupled Vandermonde matrices and the superfast computation of Toeplitz determinants. Numerical algorithms, 24 (1-2), 99-116.

Kravanja, P., Sakurai, T., Van Barel, M. (1999). On locating clusters of zeros of analytic functions. BIT, 39 (4), 646-682.

Van Barel, M., Ptak, V., Vavrin, Z. (1999). Extending the notions of companion and infinite companion to matrix polynomials. Linear algebra and its applications, 290 (1-3), 61-94.

Kravanja, P., Van Barel, M. (1999). A derivative-free algorithm for computing zeros of analytic functions. Computing, 63 (1), 69-91.

Van Barel, M., Kravanja, P. (1998). A stabilized superfast solver for indefinite Hankel systems. Linear algebra and its applications, 284 (1-3), 335-355.

Kravanja, P., Van Barel, M. (1998). A fast Hankel solver based on an inversion formula for Loewner matrices. Linear algebra and its applications, 282 (1-3), 275-295.

Van Barel, M., Bultheel, A. (1997). Look-ahead methods for block Hankel systems. Journal of computational and applied mathematics, 86 (1), 311-333.

Van Barel, M., Bultheel, A. (1997). A generalized minimal partial realization problem. Linear algebra and its applications, 254, 527-551.

Bultheel, A., Van Barel, M. (1997). ROLLS symposium - Preface. Journal of computational and applied mathematics, 77 (1-2), 1-3.

Van Barel, M., Bultheel, A. (1997). A look-ahead algorithm for the solution of block Toeplitz systems. Linear Algebra and its Applications, 266, 291-335.

Van Barel, M., Vavrin, Z. (1996). Inversion of a block Lowner matrix. Journal of computational and applied mathematics, 69 (2), 261-284.

De Samblanx, G., Van Barel, M., Bultheel, A. (1996). Duality in vector Padé-Hermite approximation problems. Journal of computational and applied mathematics, 66 (1-2), 153-166.

Kravanja, P., Van Barel, M. (1996). A fast block Hankel solver based on an inversion formula for block Loewner matrices. Calcolo, 33 (1-2), 147-164.

Bultheel, A., Van Barel, M. (1995). Vector orthogonal polynomials and least squares approximation. SIAM Journal on Matrix Analysis and Applications, 16 (3), 863-885.

Van Barel, M., Bultheel, A. (1995). Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Electronic Transactions on Numerical Analysis, 3, 1-23.

Van Barel, M., Bultheel, A. (1995). A look-ahead method to compute vector Padé-Hermite approximants. Constructive approximation, 11 (4), 455-476.

Bultheel, A., Van Barel, M. (1995). Formal orthogonal polynomials and Hankel/Toeplitz duality. Numerical algorithms, 10, 289-335.

Van Barel, M., Bultheel, A. (1994). Discrete linearized least-squares rational approximation on the unit-circle. Journal of computational and applied mathematics, 50 (1-3), 545-563.

Bultheel, A., Van Barel, M. (1994). Linear prediction: mathematics and engineering. Bulletin of the Belgian mathematical society - Simon Stevin, 1, 1-58.

Van Barel, M., Bultheel, A. (1992). A parallel algorithm for discrete least-squares rational approximation. Numerische Mathematik, 63 (1), 99-121.

Van Barel, M., Bultheel, A. (1992). A new formal approach to the rational interpolation problem. Numerische Mathematik, 62 (1), 87-122.

Van Barel, M., Bultheel, A. (1992). A general module theoretic framework for vector M-Padé and rational interpolation. Numerical algorithms, 3, 451-461.

Van Barel, M., Bultheel, A. (1991). The computation of non-perfect Padé-Hermite approximants. Numerical algorithms, 1, 285-304.

Van Barel, M., Bultheel, A. (1990). A new approach to the rational interpolation problem - the vector case. Journal of computational and applied mathematics, 33 (3), 331-346.

Bultheel, A., Van Barel, M. (1990). Minimal vector Padé-approximation. Journal of computational and applied mathematics, 32 (1-2), 27-37.

Van Barel, M., Bultheel, A. (1990). A new approach to the rational interpolation problem. Journal of computational and applied mathematics, 32 (1-2), 281-289.

Van Barel, M., Bultheel, A. (1989). A canonical matrix continued-fraction solution of the minimal (partial) realization problem. Linear algebra and its applications, 122, 973-1002.

Van Barel, M., Bultheel, A. (1989). A matrix euclidean algorithm for minimal partial-realization. Linear algebra and its applications, 121, 674-682.

Van Barel, M., Bultheel, A. (1988). An algebraic method to solve the minimal partial realization problem for scalar sequences. Linear algebra and its applications, 104, 117-129.

Bultheel, A., Van Barel, M. (1986). Padé techniques for model-reduction in linear-system theory - a survey. Journal of computational and applied mathematics, 14 (3), 401-438.

IBa (Academic books, internationally recognised scientific publisher; as author)

Vandebril, R., Van Barel, M., Mastronardi, N. (2008). Matrix Computations and Semiseparable Matrices. Baltimore: The Johns Hopkins University Press.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). Matrix computations and semiseparable matrices. Baltimore: The Johns Hopkins University Press.

Kravanja, P., Van Barel, M. (2000). Computing the Zeros of Analytic Functions. Lecture Notes in Mathematics, 1727. Springer.

Bultheel, A., Van Barel, M. (1997). Linear Algebra, Rational Approximation and Orthogonal Polynomials. Studies in Computational Mathematics, 6. Amsterdam: North-Holland, Elsevier Science.

IBe (Academic books, internationally recognised scientific publisher; as editor)

(2010). Numerical Analysis in Monterey. (Ammar, G., Ed., Reichel, L., Ed., Van Barel, M., Ed.). Elsevier.

(2010). Numerical Methods for Structured Matrices and Applications. (Bini, D., Ed., Mehrmann, V., Ed., Olshevsky, V., Ed., Tyrtyshnikov, E., Ed., Van Barel, M., Ed.). Basel , Switserland: Birkhäuser/Springer.

(2010). Rolling Waves in Leuven 2008. (Van Barel, M., Ed., Van Assche, W., Ed., González-Vera, P., Ed., Levrie, P., Ed.). Elsevier.

(2008). Linear Algebra and Its Applications, vol. 428, issues 2+3. (Ching, W., Ed., Ng, M., Ed., Tyrtyshnikov, E., Ed., Van Barel, M., Ed.). Elsevier.

(1997). Proceedings of ROLLS final meeting. (Bultheel, A., Ed., Van Barel, M., Ed.). Amsterdam: Elsevier.

IHb (Article in academic book, internationally recognised scientific publisher)

Delvaux, S., Gemignani, L., Van Barel, M. (2010). QR-factorization of displacement structured matrices using a rank structured matrix approach. In: Operator Theory: Advances and Applications, vol. 199 (pp. 229-254). Basel/Switzerland: Birkhauser Verlag AG.

Hendrickx, J., Vandebril, R., Van Barel, M. (2003). A fast direct method for solving the two-dimensional Helmholtz equation, with Robbins boundary conditions. In: Olshevsky V. (Eds.), Contemporary Mathematics, vol. 323 (pp. 187-204) American Mathematical Society, Society for Industrial and Applied Mathematics.

Fasino, D., Mastronardi, N., Van Barel, M. (2003). Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form. In: Olshevsky V. (Eds.), Internationale Wetenschappelijke Uitgave (pp. 105-118) American Mathematical Society, Society for Industrial and Applied Mathematics.

Bultheel, A., Van Barel, M. (1990). A matrix Euclidean algorithm and the matrix minimal Padé approximation problem. In: Brezinski C. (Eds.), Continued fractions and Padé approximants (pp. 11-51). Amsterdam: North Holland.

AHb (Article in other academic book)

Bultheel, A., Van Barel, M. (1996). Het Euclidisch algoritme: varianten en toepassingen. In: Piessens R. (Eds.), Computerwetenschappen: van vectorruimte tot hyperruimte (pp. 269-294). Leuven, Belgium: Dept. Computerwetenschappen, K.U.Leuven.

IC (Papers at international scientific conferences and symposia, published in full in proceedings)

Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). The Lanczos reduction to semiseparable matrices. In Borne, P. (Ed.), Proceedings of the 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation (IMACS 2005). 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation. Paris, France, July 11-15, 2005 (pp. 1-6).

Delvaux, S., Van Barel, M. (2004). Orthonormal rational function vectors. In De Moor, B. (Ed.), Motmans, B. (Ed.), Willems, J. (Ed.), Van Dooren, P. (Ed.), Blondel, V. (Ed.), Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems. 16th International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004 (pp. 1-5).

Heinig, G., Van Barel, M., Kravanja, P. (2004). Least-squares solution of Toeplitz systems and its applications. In De Moor, B. (Ed.), Motmans, B. (Ed.), Willems, J. (Ed.), Van Dooren, P. (Ed.), Blondel, V. (Ed.), Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems. 16th International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004 (pp. 1-4).

Codevico, G., Pan, V., Van Barel, M., Wang, X., Zheng, A. (2004). The least squares compression policy for Newton-like iteration of structured matrices. In Mitic, P. (Ed.), Carne, J. (Ed.), IMS2004 Proceedings. 6th International Mathematica Symposium. Banff, Alberta, Canada, August 1-6, 2004 (pp. 1-22).

Pintelon, R., Rolain, Y., Bultheel, A., Van Barel, M. (2004). Frequency domain identification of multivariable systems using vector orthogonal polynomials. Proceedings 16th International Symposium on Mathematical Theory of Networks and Systems - MTNS. 16th International Symposium on Mathematical Theory of Networks and Systems - MTNS. K.U.Leuven, Belgium, 5-9 July 2004. Leuven, Belgium: K.U.Leuven, Dept. ESAT.

Van Barel, M., Codevico, G., Heinig, G. (2004). A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. In De Moor, B. (Ed.), Motmans, B. (Ed.), Willems, J. (Ed.), Van Dooren, P. (Ed.), Blondel (Ed.), Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004 (pp. 1-5).

Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the semiseparable and the tridiagonal eigenvalue solvers. In De Moor, B. (Ed.), Motmans, B. (Ed.), Willems, J. (Ed.), Van Dooren, P. (Ed.), Blondel, V. (Ed.), Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004 (pp. 1-10).

Pintelon, R., Rolain, Y., Bultheel, A., Van Barel, M. (2002). Numerically robust frequency domqin identification of systems. In Sas, P. (Ed.), Van Hal, B. (Ed.), Proceedings of the 2002 International Conference on Modal Analysis, Noise and Vibration Engineering, Leuven 2002. Proceedings of the ISMA Conference on Noise and Vibration Engineering. Leuven, Belgium, 16 September 2002 (pp. 1315-1322). Leuven, Belgium: Mechanical Engineering, K.U.Leuven.

Van Barel, M., Fasino, D., Gemignani, L., Mastronardi, N. (2002). Orthogonal rational functions and diagonal-plus-semiseparable matrices. In Luk, F. (Ed.), Advanced Signal Processing Algorithms, Architectures, and Implementations XII: Vol. 4791. SPIE Annual Meeting 2002. Washington State Convention Center, Seattle, Washington, USA, July 7-11, 2002 (pp. 162-170).

Van Barel, M., Bultheel, A. (2001). Updating and downdating of orthonormal polynomial vectors and some applications. In Olshevsky, V. (Ed.), Structured Matrices in Mathematics, Computer Science, and Engineering II. AMS-IMS-SIAM Summer Research Conference on Structured Matrices in Operator Theory, Numerical Analysis, Control, Signal and Image Processing. Boulder, Colorado, U.S.A., June 27-July 1, 1999 (pp. 145-162).

Bultheel, A., Van Barel, M., Rolain, Y., Schoukens, J. (2001). Numerically robust rational approximation for identification. In IEEE (Ed.), Proceedings of the 40th IEEE Conference on Decision and Control. 40th IEEE Conference on Decision and Control. Orlando, FL, December 4-7, 2001 (pp. 4770-4775) IEEE.

Van Gestel, T., Van Barel, M., De Moor, B. (2000). An algebraic description of realizations of partial covariance sequences. Proceedings MTNS 2000. The International Symposium on Mathematical Theory of Networks and Systems. Perpignan, France, June 19-23, 2000 (pp. 1-7).

Van Gestel, T., Van Barel, M., De Moor, B. (2000). On an alternative parameterization of the solutions of the partial realization problem. Acta Applicandae Mathematicae, Special Issue on the International Conference on Rational Approximation (ICRA99): Vol. 61. International Conference on Rational Approximation (ICRA99), 2000 (pp. 317-331).

Van Barel, M., Heinig, G., Kravanja, P. (2000). Solving Toeplitz least-squares problems via discrete polynomial least-squares approximation at roots of unity. In Luk, F. (Ed.), Advanced Signal Processing Algorithms, Architectures, and Implementations X: Vol. 4116. International Symposium on Optical Science and Technology. San Diego, USA, July 30 - August 4, 2000 (pp. 167-172).

Kravanja, P., Van Barel, M. (1999). Algorithms for solving rational interpolation problems related to fast and superfast solvers for Toeplitz systems. In Luk, F. (Ed.), Advanced Signal Processing Algorithms, Architectures, and Implementations IX: Vol. 3807. SPIE's International Symposium on Optical Science, Engineering, and Intrumention. Denver, Colorado, U.S.A., July 18-23, 1999 (pp. 359-370).

Kravanja, P., Van Barel, M., Haegemans, A. (1999). Logarithmic residue based methods for computing zeros of analytic functions and related problems. In Lipitakis, E. (Ed.), HERCMA'98: Proceedings of the Fourth Hellenic-European Conference on Computer Mathematics and its Applications. Fourth Conference of Hellenic-European Research on Computer Mathematics and its Applications. Athens, Greece, September 24-26, 1998 (pp. 201-208).

Van Barel, M., Kravanja, P. (1999). On the generically superfast computation of Hankel determinants. In Griebel, M. (Ed.), Margenov, S. (Ed.), Yalamov, P. (Ed.), Large-Scale Scientific Computations of Engineering and Environmental Problems: Vol. 73. Second Workshop on Large-Scale Scientific Computations. Sozopol, Bulgaria, June 2-6, 1999 (pp. 57-64).

Kravanja, P., Van Barel, M., Haegemans, A. (1999). On computing zeros and poles of meromorphic functions. In Papamichael, N. (Ed.), Ruscheweyh, S. (Ed.), Saff, E. (Ed.), Computational Methods and Function Theory 1997: Vol. 11. Third Conference on Computational Methods and Function Theory. Nicosia, Cyprus, October 13-17, 1997 (pp. 359-369).

Van Barel, M., Bultheel, A. (1997). Look-ahead schemes for block Toeplitz systems and formal orthogonal matrix polynomials. In Draux, A. (Ed.), Kaliaguine, V. (Ed.), Orthogonal polynomials: the non-definite case (Proceedings of the Workshop, Rouen, 24-25 April 1995). Orthogonal polynomials: the non-definite case. Rouen, France, 24-25 April 1995 (pp. 93-112).

Van Barel, M., Pták, V., Vavrín, Z. (1997). Finite and infinite companion matrix for matrix polynomials. Proceedings Prague Mathematical Conference '96, Praha, Czech Republic, July 8-12, 1996. Proceedings Prague Mathematical Conference '96, Praha, Czech Republic, July 8-12, 1996 (pp. 13-18).

Bultheel, A., Van Barel, M. (1997). General block bi-orthogonal polynomials. In Draux, A. (Ed.), Kaliaguine, V. (Ed.), Orthogonal polynomials: non positive definite case. Orthogonal polynomials: the non-definite case. Rouen, France, April 24-26, 1995 (pp. 3-24). Rouen: INSA de Rouen, Lab. de Mathématique.

Van Barel, M., Beckermann, B., Bultheel, A., Labahn, G. (1994). Matrix rational interpolation with poles as interpolation points. In Cuyt, A. (Ed.), Nonlinear numerical methods and rational approximation II. Nonlinear Numerical Methods and Rational Approximation II. UIA Antwerpen, BE, 5-11 September 1993 (pp. 137-148). Dordrecht: Kluwer Academic Publisher.

Hendrikx, K., Van Barel, M., Bultheel, A. (1994). MATMAN: An interactive environment for using and testing linear algebra software. In Brown, J. (Ed.), Chu, M. (Ed.), Ellison, D. (Ed.), Plemmons, R. (Ed.), Proceedings of the Cornelius Lanczos International Centenary Conference. The Lanczos International Centenary Conference. Raleigh, North Carolina, U.S.A., 12-17 December 1993 (pp. 326-328). Philadelphia: SIAM.

Levrie, P., Van Barel, M., Bultheel, A. (1994). First-order linear recurrence systems and general n-fractions. In Cuyt, A. (Ed.), Nonlinear numerical methods and rational approximation II. Nonlinear numerical methods and rational approximation II. UIA Antwerpen, BE, 5-11 September 1993 (pp. 433-446). Dordrecht: Kluwer Academic Publisher.

Van Barel, M., Bultheel, A. (1994). The look-ahead philosophy applied to matrix rational interpolation problems. In Helmke, U. (Ed.), Mennicken, R. (Ed.), Saurer, J. (Ed.), Mathematical Theory of Networks and Systems, Vol. II: Invited and contributed papers. Systems and Networks: Mathematical Theory and Applications. Regensburg, Germany, 2-6 August 1993 (pp. 891-894) Akademie Verlag.

Bultheel, A., Van Barel, M. (1994). Formal orthogonal polynomials for an arbitrary moment matrix and Lanczos type methods. In Brown, J. (Ed.), Chu, M. (Ed.), Plemmons, R. (Ed.), Proceedings of the Cornelius Lanczos International Centenary Conference. The Lanczos International Centenary Conference. Raleigh, North Carolina, U.S.A., 12-17 December 1993 (pp. 273-275). Philadelphia, PA: SIAM.

Bultheel, A., Van Barel, M. (1994). Some applications of the Euclidean algorithm. In Bainov, D. (Ed.), Covachev, V. (Ed.), Proceedings of the Second International Colloquium on Numerical Analysis. Second International Colloquium on Numerical Analysis. Plovdiv, Bulgaria, 13-17 August 1993 (pp. 45-54). Zeist, The Netherlands: VSP International Science Publishers.

Van Barel, M., Bultheel, A. (1988). Minimal Padé-sense matrix approximations around s = 0 and s = ∞. In Cuyt, A. (Ed.), Nonlinear numerical methods and rational approximation. Nonlinear Numerical Methods and Rational Approximation. Antwerpen, 20-24 April 1987 (pp. 143-154). Dordrecht: Reidel Publ. Comp..

Van Barel, M., Bultheel, A. (1988). An algebraic method to solve the minimal partial realization problem for matrix sequences. In Byrnes, C. (Ed.), Martin, C. (Ed.), Saeks, R. (Ed.), Linear Circuits, Systems and Signal Processing: Theory and Application. International Symposium on the Mathematical Theory of Circuits and Systems. Phoenix, USA, 15-19 June 1987 (pp. 93-100). Amsterdam-New York-Oxford-Tokyo: North Holland.

Van Barel, M., Bultheel, A. (1988). A minimal partial realization algorithm for data with relative errors. In Datta, B. (Ed.), Johnson, C. (Ed.), Kaashoek, M. (Ed.), Plemmons, R. (Ed.), Sontag, E. (Ed.), Linear Algebra in Signals, Systems, and Control. SIAM conference on Linear Algebra in Signals, Systems, and Control. Boston, MA, 12-14 Augist 1986 (pp. 459-477). Philadelphia: SIAM.

Van Barel, M., Bultheel, A. (1986). Some comments on the inexact partial realization problem. SIAM Conference on linear algebra, Boston. SIAM Conference on linear algebra. Boston, MA, August 12-14 SIAM, Philadelphia.

IMa (Meeting abstracts, presented at international scientific conferences and symposia, published or not published in proceedings or journals)

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Optimization-based algorithms for the decomposition of a tensor in rank-$(L_t,L_t,1)$ terms. Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451): vol. 1 (11). Dagstuhl Seminar on Data Mining, Neworks and Dynamics. Schloss Dagstuhl, Wadern, Germany, 6-11 November 2011, 23-38.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Optimization-based algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition and related decompositions. International Linear Algebra Society. Braunschweig, Germany, 22-26 August 2011.

Humet Cienfuegos Jovellanos, M., Van Barel, M. (2011). Algorithms to compute spectral transformations for orthogonal polynomials on the unit circle. Conference of the International Linear Algebra Society (ILAS). Braunschweig, 22-26 August 2011.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Tensor decompositions by unconstrained optimization of real functions in complex variables. International conference on Matrix Methods in Mathematics and Applications. Moscow, Russia, 22-25 June 2011.

Humet, M., Van Barel, M. (2011). Algorithms to compute spectral transformations for orthogonal polynomials on the unit circle. International conference on matrix methods in mathematics and applications. Moscow, 22-25 June 2011.

Van Barel, M. (2011). Orthogonal functions and matrix computations. International Workshop on Operator Theory and its Applications (IWOTA 2011). Sevilla, Spain, 3-9 July 2011.

Van Barel, M. (2011). Orthogonal functions and matrix computations. FoCM 2011: Foundations of Computational Mathematics. Budapest, Hungary, 4-14 July 2011.

Van Barel, M. (2011). Orthogonal functions and matrix computations. International Conference on Scientific Computing. S. Margherita di Pula, Sardinia, Italy, 10-14 October 2011.

Van Barel, M. (2011). Orthogonal functions and matrix computations. ILAS: International Linear Algebra Society Conference. Braunschweig, Germany, 22-26 August 2011.

De Lathauwer, L., Van Barel, M. (2010). Unmixing of rational functions by tensor computations. TDA2010: Workshop on Tensor Decompositions and Applications. Monopoli, Bari, Italy, 13-17 September 2010.

Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2010). Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue algorithms. International Congress on Computational and Applied Mathematics. Leuven, 5-9 July 2010.

Van Barel, M., Vandebril, R., Van Dooren, P., Frederix, K. (2010). Computing the eigenvalues of a companion matrix. International Workshop on Accurate Solution of Eigenvalue Problems. Berlin, Germany, 28 June - 1 July 2010.

De Lathauwer, L., Van Barel, M. (2010). Unmixing of rational functions by tensor computations. Conference of the International Linear Algebra Society. Pisa, Italy, 21-25 June 2010.

Mastronardi, N., Van Dooren, P., Vandebril, R., Tyrtyshnikov, E., Van Barel, M. (2010). A fast algorithm for computing the null-space of polynomial matrices. Conference of the International Linear Algebra Society. Pisa, Italy, 21-25 June 2010.

Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2010). Homotopy algorithm for symmetric diagonal-plus-semiseparable eigenvalue problems. BIT 50 – Trends in Numerical Computing. Lund, Sweden, 17-20 June 2010.

Chesnokov, A., Van Barel, M. (2010). Recurrence relations for multivariable orthogonal polynomials and discrete least-squares approximations. Spring Meeting of the the Werkgemeenschap Scientific Computing. Antwerp, Belgium, 3 May 2010.

Van Barel, M., Chesnokov, A. (2010). Multivariable orthogonal polynomials and structured matrix computations. International Conference on Structured Matrices and Tensors. Hong Kong, China, 19-22 January 2010.

Mastronardi, N., Van Barel, M., Vandebril, R. (2010). A fast algorithm for computing the null-space of polynomial matrices. The Third International Conference on Structured Matrices and Tensors. Hong Kong, 19-22 January, 2010.

Van Barel, M., Chesnokov, A. (2009). Multivariable orthogonal polynomials and structured matrix computations. SIAM Conference on Applied Linear Algebra. Monterey, CA, USA, 26-29 October 2009.

Frederix, K., Van Barel, M. (2009). Large eigenvalue problems and spectral clustering. GAMM Workshop on Applied and Numerical Linear Algebra. ETH Zurich, Switzerland, 10-11 September 2009.

Van Barel, M., Chesnokov, A. (2009). Multivariable orthogonal polynomials and structured matrix computations. Dolomites Workshop on Constructive Approximation and Applications. Alba di Canazei, Val di Fassa (Trento), Italy, 4-9 September 2009.

Chesnokov, A., Deckers, K., Van Barel, M. (2009). A numerical solution of the constrained weighted energy problem. Dolomites Workshop on Constructive Approximation and Applications. Alba di Canazei, Val di Fassa (Trento), Italy, 4-9 September 2009.

Van Barel, M., Vandebril, R., Van Dooren, P. (2009). Computing the eigenvalues of a companion matrix. Visiting Professor. Dipartimento di Matematica e Informatica, University of Cagliari, Italy, 9 July 2009.

Van Barel, M., Frederix, K. (2009). Large eigenvalue problems and spectral clustering. Numerical Analysis and Scientific Computing with Applications. Agadir, Morocco, 18-22 May 2009.

Gemignani, L., Frederix, K., Van Barel, M. (2008). Fast eigenvalue computation of symmetric rationally generated Toeplitz matrices. Structured Linear Algebra Problems: Analysis, Algorithms, and Applications. Cortona, Italy, 15-19 September 2008.

Mastronardi, N., Vandebril, R., Van Barel, M. (2008). On computing the null space of polynomial matrices. Structured Linear Algebra Problems: Analysis, Algorithms and Applications. Cortona, Italy, 15-19 September, 2008.

Van Barel, M., Vandebril, R., Van Dooren, P. (2008). A companion matrix eigenvalue solver. Structured Linear Algebra Problems: Analysis, Algorithms, and Applications. Cortona, Italy, 15-19 September 2008.

Caraus, I., Van Barel, M. (2008). Cutting plane method for solving convex optimization problems over nonnegative polynomials. International Congress on Computational and Applied Mathematics. Ghent, Belguim, 07-11 July 2008.

Van Barel, M., Vandebril, R., Mastronardi, N. (2008). A generalization of the QR-algorithm for semiseparable plus diagonal matrices. Householder Symposium. Zeuthen, Germany, 1-6 June 2008.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). Computing the null space of block Toeplitz/Hankel matrices. Householder meeting on Numerical Linear Algebra. Zeuthen, Germany, 1-6 June, 2008.

Van Barel, M., Vandebril, R., Mastronardi, N., Van Camp, E., Delvaux, S., Vanberghen, Y., Frederix, K. (2008). Rank structured matrix operations. Patrick Dewilde Workshop on Algebra, Networks, Signal Processing and System Theory. Wassenaar, 21–25 June 2008.

Vandebril, R., Van Barel, M., Mastronardi, N. (2008). A rational generalization of the QR-algorithm. Householder Symposium. Zeuthen, Germany, 1-6 June 2008.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). The generalized Schur algorithm for computing the nullspace of polynomial matrices. Patrick Dewilde Workshop on Algebra, Networks, Signal Processing and System Theory. Wassenaar, 21–25 June 2008.

Mastronardi, N., Laudadio, T., Van Barel, M., Vandebril, R. (2008). A new algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. International Congress on Computational and Applied Mathematics. Ghent, Belgium, 07-11 July 2008.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational QR-iteration. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Frederix, K., Van Barel, M. (2007). Solving a large dense linear system by adaptive cross approximation. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Mastronardi, N., Van Barel, M., Vandebril, R. (2007). A fast algorithm for computing the nullspace of some structured matrices. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.

Caraus, I., Van Barel, M. (2007). Solving convex optimization problems for nonnegative polynomials. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Chesnokov, A., Van Barel, M. (2007). A continuation method to solve symmetric indefinite Toeplitz systems. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Vanberghen, Y., Van Barel, M., Van Dooren, P. (2007). Using semiseparable matrices to compute the singular value decomposition of a general matrix product. 2nd International Conference on Matrix Methods and Operator Equations. Moscow, Russia, July 23-27, 2007.

Vanberghen, Y., Van Barel, M., Van Dooren, P. (2007). Using semiseparable matrices to compute the SVD of a general matrix product. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A generalization of the QR-algorithm for semiseparable (plus diagonal) matrices. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.

Van Barel, M., Vandebril, R., Mastronardi, N. (2007). A QH-iteration for Hessenberg-like matrices. International Workshop: Numerical Linear Algebra, Internet and Large Scale Applications. Hotel porto Giardino, Monopoli, Bari, Italy, September 9-14, 2007.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational generalization of the QR-algorithm. Matrix Analysis and Applications. Luminy, France, October 15-19, 2007.

Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). Rank structured matrix operations. The Second International Conference on Structured Matrices. Hong Kong, 8-11 June 2006.

Vanberghen, Y., Vandebril, R., Van Barel, M. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. International workshop on Numerical Linear Algebra in Signals and Systems. Monopoli (Bari), Italy, September 11-15, 2006.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). On computing the eigenvectors of a class of structured matrices. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A Schur-Based Algorithm to Compute the Smallest Eigenvalue of Symmetric Positive Definite Toeplitz Matrices. The 2nd International Conference on Structured Matrices. Hong Kong, June 8-11, 2006.

Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). Rank structured matrix operations. Workshop on State-of-the-Art in Scientific and Parallel Computing. Umea, Sweden, June 18-21, 2006.

Delvaux, S., Van Barel, M. (2006). Eigenvalue Computation for Unitary Rank Structured Matrices. Numerical Analysis in Monterey, Graggfest '06. Monterey, CA, USA, November 3-4, 2006.

Van Barel, M., Vandebril, R., Mastronardi, N. (2006). A Schur-Based Algorithm to Compute the Smallest Eigenvalue of Symmetric Positive Definite Toeplitz Matrices. SIAM Annual Meeting. Boston, MA, USA, July 10-14, 2006.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A fast algorithm for recursively computing dominant singular subspaces. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.

Van Barel, M., Vandebril, R., Mastronardi, N., Delvaux, S., Vanberghen, Y. (2006). An overview of the use of rank structured matrices to solve eigenvalue problems. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.

Vanberghen, Y., Van Barel, M., Vandebril, R. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.

Delvaux, S., Van Barel, M. (2006). An algorithm for the Hessenberg reduction of rank structured matrices. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). The Lanczos reduction to semiseparable matrices. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.

Delvaux, S., Van Barel, M. (2006). Rank-deficient submatrices of Fourier matrices and Kronecker products. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.

Delvaux, S., Van Barel, M. (2006). Large Rank Structured Matrix Computations using the Givens-weight Representation. SIAM Annual Meeting. Boston, MA, USA, July 10-14, 2006.

Bultheel, A., Van gucht, P., Van Barel, M. (2006). Orthogonal rational functions with real coefficients and semiseparable matrices. Numerical Analysis in Monterey, Graggfest '06. Monterey, CA, USA, November 3-4, 2006.

Van Barel, M., Vandebril, R., Vanberghen, Y. (2006). The use of lower semiseparable matrices to solve generalized eigenvalue problems. 22nd GAMM-Seminar Leipzig on Large Scale Eigenvalue Computations. Leipzig, Germany, January 19-21, 2006.

Delvaux, S., Van Barel, M. (2006). Representation and algorithms for unitary-plus-low-rank rank structured matrices. International workshop on Numerical Linear Algebra in Signals and Systems. Monopoli (Bari), Italy, September 11-15, 2006.

Mastronardi, N., Diele, F., Van Barel, M., Vandebril, R. (2006). A Schur-based algorithm to compute the smallest eigenvalue of symmetric positive definite Toeplitz matrices. The 13th International Linear Algebra Society Conference. Amsterdam, The Netherlands, July 18-21, 2006.

Vandebril, R., Van Barel, M., Mastronardi, N. (2006). Computing the smallest singular value of tridiagonal matrices via semiseparable matrices. 12th International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 10-14, 2006.

Vandebril, R., Mastronardi, N., Van Barel, M. (2006). A Levinson Framework. The 13th International Linear Algebra Society Conference. Amsterdam, The Netherlands, July 18-21, 2006.

Delvaux, S., Van Barel, M. (2006). Eigenvalue computation for unitary rank structured matrices. The 2nd International Conference on Structured Matrices. Hong Kong, June 8-11, 2006.

Delvaux, S., Van Barel, M. (2006). Representation and algorithms for unitary-plus-low-rank rank structured matrices. The 13th International Linear Algebra Society Conference. Amsterdam, The Netherlands, July 18-21, 2006.

Mastronardi, N., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). The Lanczos reduction to semiseparable matrices. IMACS World Congress on Scientific Computing, Applied Mathematics and Simulation. Paris, France, 11-15 July, 2005.

Heinig, G., Codevico, G., Van Barel, M. (2005). Superfast split algorithms for real symmetric Toeplitz systems. Annual Meeting of the "Gesellschaft für Angewandte Mathematik und Mechanik e.V" (GAMM). Université de Luxembourg, Luxembourg City, Luxembourg, March 28 - April 1, 2005.

Vandebril, R., Van Barel, M., Van Camp, E. (2005). Convergence properties of the reduction to semiseparable and semiseparable plus diagonal form. Householder Symposium on Numerical Linear Algebra. Seven Springs Mountain Resort, Champion, Pennsylvania, USA, May 23-27, 2005.

Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. Householder Symposium on Numerical Linear Algebra. Seven Springs Mountain Resort, Champion, Pennsylvania, USA, May 23-27, 2005.

Delvaux, S., Van Barel, M. (2005). Structures preserved by the QR-algorithm. Householder Symposium on Numerical Linear Algebra. Seven Springs Mountain Resort, Champion, Pennsylvania, USA, May 23-27, 2005.

Mastronardi, N., Schuermans, M., Van Huffel, S., Van Barel, M., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. The Sixteenth International Workshop on Operator Theory and Applications. University of Connecticut, Storrs, USA, July 24-27, 2005.

Plestenjak, B., Van Barel, M., Van Camp, E. (2005). A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. International Seminar on Matrix Methods and Operator Equations. Moscow, Russia, June 20-24, 2005.

Delvaux, S., Van Barel, M. (2005). The QR-algorithm for hierarchically structured matrices. Part 2: Tools for Givens-weight representation. International Seminar on Matrix Methods and Operator Equations. Moscow, Russia, June 20-24, 2005.

Vandebril, R., Mastronardi, N., Van Barel, M. (2005). A Levinson-like solver for semiseparable plus band matrices. The Sixteenth International Workshop on Operator Theory and Applications. University of Connecticut, Storrs, USA, July 24-27, 2005.

Mastronardi, N., Van Barel, M., Vandebril, R. (2005). The Lanczos reduction to semiseparable matrices and applications in computing dominant subspaces. SIAM Annual Meeting. New Orleans, LA, USA, July 11-15, 2005.

Delvaux, S., Van Barel, M. (2005). The QR-algorithm for hierarchically structured matrices. Part 1: From a hierarchical to a Givens-weight representation. International Seminar on Matrix Methods and Operator Equations. Moscow, Russia, June 20-24, 2005.

Van Barel, M. (2005). Georg Heinig and the MaSe-team: Low displacement rank matrices and orthogonal polynomial vectors. Foundations of Computational Mathematics. Universidad de Cantabria, Santander, Spain, June 30 - July 9, 2005.

Delvaux, S., Van Barel, M. (2005). Structures preserved by the QR-algorithm. Foundations of Computational Mathematics. Universidad de Cantabria, Santander, Spain, June 30 - July 9, 2005.

Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the semiseparable and the tridiagonal eigenvalue solvers. Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004). Leuven, Belgium, 5-9 July, 2004.

Van Barel, M., Codevico, G., Heinig, G. (2004). Recursive and/or iterative refinement for a superfast solver for real symmetric Toeplitz systems based on real trigonometric transformations. Structured Numerical Linear Algebra Problems: Algorithms and Applications. Cortona, Italy, September 19-24, 2004.

Vandebril, R., Van Barel, M. (2004). The nullity theorem and some generalizations. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Codevico, G., Van Barel, M., Heinig, G. (2004). A new superfast solver for real centro-symmetric Toeplitz-plus-Hankel systems using real trigonometric transformations. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Vandebril, R., Van Barel, M., Mastronardi, N. (2004). A comparison between the eigenvalue solvers based on semiseparable and tridiagonal matrices. V International Workshop on Accurate Solution of Eigenvalue Problems. Arcadeon Conference Center; Hagen, Germany, June 28 - July 1, 2004.

Van Barel, M., Van Camp, E., Vandebril, R., Mastronardi, N. (2004). The QR-algorithm for diagonal plus rank-one matrices. V International Workshop on Accurate Solution of Eigenvalue Problems. Arcadeon Conference Center; Hagen, Germany, June 28 - July 1, 2004.

Delvaux, S., Van Barel, M. (2004). Structures preserved by the QR algorithm. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Delvaux, S., Van Barel, M. (2004). Structures preserved by the QR algorithm. 11th Conference of the International Linear Algebra Society. Coimbra, Portugal, July 19-22, 2004.

Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2004). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. Structured Numerical Linear Algebra Problems: Algorithms and Applications. Cortona, Italy, September 19-24, 2004.

Mastronardi, N., Van Barel, M., Vandebril, R., Van Camp, E. (2004). On computing the eigenvectors of a class of matrices. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Van Barel, M., Van Camp, E., Vandebril, R., Mastronardi, N. (2004). The QR-algorithm for arrowhead matrices. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Mastronardi, N., Van Barel, M., Van Camp, E., Vandebril, R. (2004). The QR-algorithm for arrowhead matrices. Sixteenth International Symposium on Mathematical Theory of Networks and Systems. Leuven, Belgium, July 5-9, 2004.

Helsen, S., Van Barel, M. (2004). A numerical solution of the constrained energy problem. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 26-30, 2004.

Delvaux, S., Van Barel, M. (2004). Structures preserved by matrix inversion. Structured Numerical Linear Algebra Problems: Algorithms and Applications. Cortona, Italy, September 19-24, 2004.

Delvaux, S., Van Barel, M. (2004). Structures preserved by the QR-algorithm. Structured Numerical Linear Algebra Problems: Algorithms and Applications. Cortona, Italy, September 19-24, 2004.

Van Barel, M., Vandebril, R., Van Camp, E., Mastronardi, N. (2003). Semiseparable matrices and eigenproblems. Russian Academy of Sciences: Institute of Numerical Mathematics, Steklov Institute of Mathematics, Workshop on nonlinear approximations in numerical analysis. Moscow, Russia, 22-25 June, 2003.

Vandebril, R., Mastronardi, N., Van Barel, M. (2003). Solving symmetric eigenvalue problems using semiseparable matrices instead of tridiagonal ones. Cadzand Workshop. Cadzand, Netherlands, 21-26 June, 2003.

Mastronardi, N., Elden, L., Van Barel, M., Vandebril, R. (2003). On computing the eigendecomposition, rank revealing and the singular value decomposition of dense matrices. Workshop Due giornate di Algebrra Lineare Numerica. Pisa, Italy, 6-7 March, 2003.

Helsen, S., Kuijlaars, A., Van Barel, M. (2003). Convergence of the Arnoldi process for unitary matrices. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.

Van Barel, M. (2003). A superfast algorithm to solve structured matrices based on vector polynomial interpolation. Numerical Methods for Markov Chains. Part I: Structured Matrices (Numerical Linear Algebra and Its Applications, XXI International School and Workshop). Porto Giardino, Monopoli, Bari, Italy, September 16, 2003, 1.

Van Barel, M., Vandebril, R., Mastronardi, N. (2003). A similarity reduction of a symmetric matrix to a semiseparable one and the QR algorithm to compute the eigenvalues of this semiseparable matrix. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.

Codevico, G., Van Barel, M., Heinig, G. (2003). A new superfast direct method for solving centrosymmetric Toeplitz-plus-Hankel systems. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.

Van Barel, M. (2003). A superfast algorithm to solve Cauchy-like linear systems. Numerical Methods for Markov Chains. Part I: Structured Matrices (Numerical Linear Algebra and Its Applications, XXI International School and Workshop). Porto Giardino, Monopoli, Bari, Italy, September 16, 2003, 1.

Van Barel, M., Vandebril, R., Mastronardi, N. (2003). Semiseparable matrices and eigenproblems. Fourteenth International Workshop on Operator Theory and Applications. Cagliari, Italy, June 24-27, 2003.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A note on the representation and definition of semiseparable matrices. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.

Van Camp, E., Van Barel, M., Mastronardi, N. (2003). A similarity reduction to matrices having semiseparability rank higher than one. Numerical Linear Algebra and Its Applications, XXI International School and Workshop. Porto Giardino, Monopoli, Bari, Italy, September 22-24, 2003.

Van Barel, M., Codevico, G. (2002). A fast iterative method to solve symmetric positive definite Toeplitz systems. Tenth International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 22-26, 2002.

Vandebril, R., Van Barel, M. (2002). A fast solver for a bivariate homogeneous interpolation problem. Tenth International Congress on Computational and Applied Mathematics. Leuven. Belgium, July 22-26, 2002.

Van Camp, E., Mastronardi, N., Van Barel, M. (2002). A fast QR-solver for diagonal-plus-semiseparable linear systems. Tenth International Congress on Computational and Applied Mathematics. Leuven, Belgium, July 22-26, 2002.

Vandebril, R., Van Barel, M., Mastronardi, N. (2002). A new approach with semiseparable matrices, to find the eigenvalues of symmetric matrices, via the QR algorithm. GAMM Workshop on Numerical Linear Algebra. Bielefeld, Germany, September 14-15, 2002.

Van Barel, M., Fasino, D., Gemignani, L., Mastronardi, N. (2002). Orthogonal rational functions and structured matrices. International Conference on Structured Matrices. Hong Kong, China, May 29 - June 1, 2002.

Codevico, G., Van Barel, M. (2002). A modified Newton method to invert positive definite Toeplitz matrices. International Linear Algebra Society Conference. Auburn University, Auburn, Alabama, USA, June 10-13, 2002.

Van Barel, M., Fasino, D., Gemignani, L., Mastronardi, N. (2002). Synergies between displacement and band structure. Another case study: the QR factorization of Cauchy-like matrices. AMS-UMI First Joint International Meeting. Pisa, Italy, June 12-16, 2002.

Vandebril, R., Hendrickx, J., Van Barel, M. (2001). A new fast method for solving the Helmholtz equation. SIAM Annual Meeting. San Diego, California, USA, July 9-13, 2001.

Van Barel, M., Heinig, G., Kravanja, P. (2001). A superfast method for solving least squares Toeplitz problems based on an inversion formula. International Conference on Toeplitz matrices (in Honor of Bernd Silbermann on His 60th Birthday). Pobershau, Germany, April 8-11, 2001.

Bini, D., Codevico, G., Van Barel, M. (2001). A new superfast adaptive algorithm for Toeplitz-like inversion problems. International Conference on Numerical Algorithms. Marrakesh, Marocco, October 1-5, 2001.

Van Barel, M., Mastronardi, N., Kravanja, P. (2001). A superfast variant of Ming Gu's methods to solve least squares toeplitz problems. SIAM Annual Meeting. San Diego, California, USA, July 9-13, 2001.

Sakurai, T., Sugiura, H., Kravanja, P., Van Barel, M. (2001). A method for locating the zeros of analytic functions in the unit circle. International Conference on Recent Advances in Computational Mathematics. Matsuyama, Japan, October 10-13, 2001.

Kravanja, P., Sakurai, T., Van Barel, M. (2001). A factoring method for computing zeros of analytic functions based on interpolation at roots of unity. Computational Methods and Function Theory 2001. Aveiro, Portugal, June 25-29, 2001.

Van Barel, M. (2001). Different interpretations of structured linear systems. GAMM Workshop on Numerical Linear Algebra. Technical University of Berlin, Germany, September 7-8, 2001.

Fasino, D., Mastronardi, N., Van Barel, M. (2001). Fast computation of the eigenvalues of diagonal plus semiseparable matrices. Workshop on Numerical Linear Algebra in Scientific and Engineering Applications. The Fields Institute, Toronto, Canada, October 29 - November 2, 2001.

Van Barel, M., Heinig, G., Kravanja, P. (2000). Fast and accurate solution of Toeplitz linear least squares problems. Second Conference on Numerical Analysis and Applications. University of Rousse, Rousse, Bulgaria, June 11-15, 2000.

Kravanja, P., Van Barel, M. (2000). Stabilized superfast rational interpolation at roots of unity. Structured Matrices: Analysis, Algorithms and Applications. Cortona, Italy, September 25-29, 2000.

Vavrín, Z., Pták, V., Van Barel, M. (2000). Nonmonic matrix polynomials and associated Hankel and Bezout matrices. International Workshop on Structured Matrices. Chemnitz, Germany, January 6-7, 2000.

Van Barel, M., Heinig, G., Kravanja, P. (2000). A superfast method for solving least squares Toeplitz problems. Structured Matrices: Analysis, Algorithms and Applications. Cortona, Italy, September 25-29, 2000.

Van Barel, M., Kravanja, P. (1999). Vector polynomial interpolation and numerical structured linear algebra. AMS-IMS-SIAM Summer Research Conference on Structured Matrices in Operator Theory, Numerical Analysis, Control, Signal and Image Processing. Boulder, Colorado, U.S.A., June 27 - July 1, 1999.

Heinig, G., Kravanja, P., Van Barel, M. (1999). Stabilized Superfast Toeplitz Solvers. Workshop on Applied Linear Algebra in honor of Ludwig Elsner. Bielefeld, Germany, January 21-23, 1999.

Van Barel, M., Bultheel, A. (1998). Rational approximation and matrix orthogonal polynomials. Applications and computation of orthogonal polynomials. Oberwolfach, Germany, March 22-28, 1998.

Van Barel, M., Heinig, G., Kravanja, P. (1998). Using Fast Fourier Transformation techniques to solve Toeplitz systems in a superfast way. Fourier Analysis and Applications. Kuwait University, Kuwait, May 3-6, 1998.

Van Barel, M., Pták, V., Vavrín, Z. (1998). Nonmonic matrix polynomials, their companion matrices and linear vector difference equations with constant coefficients. Mathematical Theory of Networks and Systems. Padova, Italy, July 6-10, 1998.

Van Barel, M., Heinig, G., Kravanja, P. (1998). Stabilized superfast Toeplitz solvers via rational interpolation. Minisymposium "Numerical Methods for Structured Matrices and Applications", SIAM Annual Meeting 1998. University of Toronto, Toronto, Canada, July 13-17, 1998.

Heinig, G., Van Barel, M., Kravanja, P. (1998). Stabilized superfast Toeplitz solvers based on interpolation. 7th Conference of the International Linear Algebra Society (The "Hans Schneider Linear Algebra" Conference). Madison, Wisconsin, U.S.A., June 3-6, 1998.

Kravanja, P., Van Barel, M., Sakurai, T. (1998). A method for locating clusters of zeros of analytic functions. GAMM-Workshop on Iterative Processes for Solving Equations. Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Kiel, Germany, July 3-5, 1998.

Kravanja, P., Sakurai, T., Van Barel, M. (1998). On locating clusters of zeros of analytic functions. International Congress on Computational and Applied Mathematics. Katholieke Universiteit Leuven, Leuven, Belgium, July 27 - August 1, 1998.

Kravanja, P., Van Barel, M., Sakurai, T. (1998). A method for locating clusters of zeros of analytic functions. Annual Meeting of Japan SIAM. Tokyo, Japan, September 12-14, 1998.

Kravanja, P., Sakurai, T., Van Barel, M. (1998). On locating clusters of zeros of analytic functions. International Workshop on Orthogonal Polynomials. Universidad Carlos III de Madrid ,Leganés, Madrid, Spain, June 29 - July 2, 1998.

Kravanja, P., Sakurai, T., Van Barel, M. (1998). On locating clusters of zeros of analytic functions. Hellenic European Research on Computer Mathematics and its Applications. Athens, Greece, September 24-26, 1998.

Van Barel, M., Bultheel, A. (1989). Minimal vector Padé approximation. Book of abstracts. International conference on extrapolation and rational approximation. Luminy (FR), 24-30 September 1989.

Bultheel, A., Van Barel, M. (1989). A new approach to the rational interpolation problem. Book of abstracts. International conference on extrapolation and rational approximation. Luminy (FR), 24-30 September 1989.

Decorte, J., Bultheel, A., Van Barel, M. (1986). Numerical experiments for approximation of linear systems using the method of AAK. SIAM Conference on linear algebra in signals, systems and control. Boston, MA, 12-14 August 1986.

AMa (Meeting abstracts, presented at other scientific conferences and symposia, published or not published in proceedings or journals)

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Efficient algorithms for tensor decompositions. OPTEC MANET Workshop on Tensors and Large Scale Optimization. Leuven, 7 February 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Block Component Analysis. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Leuven, 29 November 2011, 21-21.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Block Component Analysis. OPTEC Steering Advisory Board meeting. Leuven, 24 October 2011.

Van Barel, M. (2011). Large eigenvalue problems and spectral clustering. Seminar. University Carlos III, Madrid, Spain, 26 May 2011.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Unconstrained optimization of real functions in complex variables. SISTA Seminar. Leuven, 20 April 2011.

Frederix, K., Van Barel, M. (2010). Sparse spectral clustering method based on the incomplete Cholesky decomposition. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Château-Ferme de Profondval, 28-29 October 2010, 21-21.

Humet, M., Marcellan, F., Van Barel, M. (2010). Orthogonal polynomials and matrix computation. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Château-Ferme de Profondval, 28-29 October 2010.

Chesnokov, A., Van Barel, M. (2010). Multivariable orthogonal polynomials and structured matrix computations. Book of abstracts DYSCO Study Day. Study Day Dynamical Systems, Control and Optimization. Gent, 31 May 2010, 18-18.

Frederix, K., Van Barel, M. (2009). Large eigenvalue problems and spectral clustering. Seminar. Louvain-la-Neuve, 11 December 2011.

Deckers, K., Chesnokov, A., Van Barel, M. (2009). A numerical solution of the constrained weighted energy problem and its relation to rational Lanczos iterations. Seminar on Orthogonality, Approximation Theory and Applications, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Spain.

Caraus, I., Van Barel, M. (2008). Cutting plane methods for solving convex optimization problems over nonnegative polynomials. OPTEC Scientific Advisory Board Meeting. Leuven, Belgium, 17 March 2008.

Caraus, I., Van Barel, M. (2007). Efficient and accurate algorithms for solving convex optimization problems for nonnegative polynomials. IUAP-studiedag. Koninklijke Militaire School, Brussel, November 22, 2007.

Van Barel, M., Vandebril, R., Mastronardi, N. (2007). A comparison between the semiseparable and the tridiagonal eigenvalue solver. The numerical analysis and PDE seminar. Laboratoire Paul Painlevé, Université Lille 1, France, May 31, 2007.

Vandebril, R., Van Barel, M., Mastronardi, N. (2006). A general Levinson framework for solving systems of equations. Stanford University. Stanford, CA, USA, May 25, 2006.

Vandebril, R., Van Barel, M. (2005). Structured rank matrices and their applications in numerical linear algebra. Lezing op uitnodiging van Johan Suykens. Departement Elektrotechniek - ESAT, K.U.Leuven, October 27, 2005.

Vandebril, R., Van Barel, M., Van Camp, E. (2004). The QR-algorithm for semiseparable matrices. Study Day IAP-Scores. Leuven, Belgium, 12 October, 2004.

Van Barel, M., Vandebril, R., Codevico, G., Van Camp, E., Delvaux, S., Mastronardi, N. (2004). Semiseparable matrices and the symmetric eigenvalue problem. IUAP Studiedag. Gent, Belgium, June 1, 2004.

Vandebril, R., Van Barel, M., Van Camp, E., Mastronardi, N. (2004). On the convergence properties of an orthogonal similarity reduction to semiseparable (plus diagonal) form. Departemental seminar. Stanford University, November 15, 2004.

Vandebril, R., Van Barel, M., Van Camp, E., Mastronardi, N. (2004). On the convergence properties of an orthogonal similarity reduction to semiseparable (plus diagonal) form. Departemental seminar. UC Berkeley, October 20, 2004.

Codevico, G., Van Barel, M. (2004). High-performance numerical software for structured matrix computations. WOG/SRN Symposium on Software Environments for Numerical Problems. Het Pand, Gent, November 17-18, 2004.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). Solving eigenvalue problems using semiseparable instead of tridiagonal matrices. Seminar. Leuven, Belgium, 27 November, 2003.

Mastronardi, N., Vandebril, R., Van Barel, M. (2003). On computing the eigendecomposition of dense matrices. University of Linkoping. Linkoping, Sweden, 28 February, 2003.

Bultheel, A., Van Barel, M., Van gucht, P. (2003). Orthogonal basis functions in discrete least squares rational approximation. Meta-modelling and related topics. University of Antwerp, December 4, 2003.

Vandebril, R., Van Barel, M., Mastronardi, N. (2002). Semiseparable matrices and the SVD. PhD-Days. Leuven, Belgium, 11 December, 2002.

Codevico, G., Van Barel, M. (2002). Newton's iterations for structured matrices. IAP Dynamical Systems and Control: Study day. K.U.Leuven, Leuven, May 15, 2002.

Van Barel, M. (2002). Structured matrix problems. IAP Dynamical Systems and Control: Study day. K.U.Leuven, Leuven, May 15, 2002.

Vandebril, R., Van Barel, M. (2002). Solving Block Toeplitz Toeplitz Block systems of equations. Seminar. Leuven, Belgium, 22 May, 2002.

Pintelon, R., Rolain, Y., Bultheel, A., Van Barel, M. (2002). Numerically robust frequency domain identification of multivariable systems. IAP Dynamical Systems and Control : Study Day, May 15, 2002.

Van Barel, M., Codevico, G. (2002). L'iterazione di Newton per l'inversione di matrici simmetriche, mal condizionate con struttura. Algebr lineare numerica e applicazione. Pisa, Italy, January 1 - February 1, 2002.

Vandebril, R., Van Barel, M., Mastronardi, N. (2002). A new algorithm for computing the singular value decomposition via semiseparable matrices. IAP Dynamical Systems and Control: Study day. Louvain-la-Neuve, Belgium, November 26, 2002.

Van Camp, E., Mastronardi, N., Van Barel, M. (2002). Divide-and-conquer algorithms for computing the eigendecomposition of diagonal-plus-semiseparable matrices. Book of Abstracts. Faculty of Engineering, PhD Symposium. Leuven, Belgium, December 11, 2002, 81.

Van Barel, M. (2001). Solving rational interpolation problems using a general module theoretic framework. Departmental seminar. Dipartimento di Matematica e Informatica, Università degli Studi di Udine, October 31, 2001.

Van Barel, M. (2001). Vector polynomial interpolation and numerical structured linear algebra. Departmental seminar. INRIA Sophia Antipolis, France, October 18, 2001.

Vandebril, R., Van Barel, M., Mourrain, B., Ruatta, O. (2001). A new approach on multivariate interpolation. Departmental seminar. INRIA Sophia Antipolis (France), November 11, 2001.

Kravanja, P., Van Barel, M. (1999). On computing zeros of analytic functions and related problems. Departmental seminar. Philips Research Laboratories (NatLab), Eindhoven, The Netherlands, April 27, 1999.

Van Barel, M. (1998). A superfast algorithm to solve Toeplitz systems. IUAP-Workshop "Numerical Methods in Systems and Control". Katholieke Universiteit Leuven, Leuven, Belgium, January 19, 1998.

Kravanja, P., Sakurai, T., Van Barel, M. (1998). On locating clusters of zeros of analytic functions. Departmental seminar. Dept. of Mathematics, University of Patras, Patras, Greece, April 9, 1998.

Bultheel, A., Van Barel, M. (1993). Vector orthogonal polynomials and discrete least squares approximation with polynomial tuples. Meijer symposium: Special functions and orthogonal polynomials. Meijer symposium: Special functions and orthogonal polynomials. Delft, NL, 26 may 1993.

Bultheel, A., Van Barel, M. (1993). Euclid, Padé, Lanczos, another golden braid. Mathematisches Kolloquium of the Universität Bremen. Mathematisches Kolloquium of the Universität Bremen. Bremen, DE, 11 May 1993.

TH (Thesis)

Chesnokov, A., Van Barel, M. (sup.) (2011). Eigenvalues, Orthogonal Functions and Structured Matrices (Eigenwaarden, orthogonale functies en gestructureerde matrices).

Frederix, K., Van Barel, M. (sup.) (2010). Structured Matrices and Their Applications (Gestructureerde matrices en hun toepassingen).

Delvaux, S., Van Barel, M. (sup.) (2007). Rank Structured Matrices (Ranggestructureerde matrices).

Van Camp, E., Van Barel, M. (sup.) (2005). Diagonal-Plus-Semiseparable Matrices and Their Use in Numerical Linear Algebra (Diagonaal-plus-semiseparabele matrices en hun toepassingen binnen numerieke lineaire algebra), xxx+198 pp.

Vandebril, R., Van Barel, M. (sup.) (2004). Semiparable matrices and the symmetric eigenvalue problem.

Hendrickx, J., Van de Vel, H. (sup.), Van Barel, M. (sup.) (2000). Generalized S-matrices and their use by finite difference approximations for differential equations and solving symmetric band Toeplitz systems, x+211 pp.

Kravanja, P., Haegemans, A. (sup.), Van Barel, M. (sup.) (1999). On computing zeros of analytic functions and related problems in structed numerical linear algebra, 218+ii pages pp.

De Samblanx, G., Bultheel, A. (sup.), Van Barel, M. (sup.) (1998). Filtering and restarting projection methods for eigenvalue problems, xxviii+166 pp.

Van Barel, M., Bultheel, A. (sup.) (1989). Nested minimal partial realizations and related matrix rational approximants, xxxvii+283 pp.

IR (Internal report)

Le, T., Sorber, L., Van Barel, M. (2012). The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. TW Reports, TW612. Leuven, Belgium: Department of Computer Science, KU Leuven.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-$(L_r,L_r,1)$ terms and a new generalization. ESAT-SISTA Internal Reports, 12-37. Leuven, Belgium: Department of Electrical Engineering (ESAT), KU Leuven.

Humet Cienfuegos Jovellanos, M., Van Barel, M. (2012). Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. TW Reports, TW608, 29 pp. Leuven, Belgium: Department of Computer Science, KU Leuven.

Le, T., Van Barel, M. (2011). A convex optimization method to solve a filter design problem. TW Reports, TW599, 19 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Chesnokov, A., Van Barel, M., Mastronardi, N., Vandebril, R. (2011). Homotopy algorithm for the symmetric diagonal-plus-semiseparable eigenvalue problem. TW Reports, TW595, 26 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Unconstrained optimization of real functions in complex variables. TW Reports, TW592. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Humet Cienfuegos Jovellanos, M., Van Barel, M. (2011). When is the Uvarov transformation positive definite?. TW Reports, TW593, 10 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Chesnokov, A. (2009). A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. TW Reports, TW554, 15 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Frederix, K., Van Barel, M. (2009). Sparse spectral clustering method based on the incomplete Cholesky decomposition. TW Reports, TW552, 20 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Chesnokov, A., Deckers, K., Van Barel, M. (2009). A numerical solution of the constrained weighted energy problem. TW Reports, TW540, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Delvaux, S., Frederix, K., Van Barel, M. (2009). An algorithm for computing the eigenvalues of block companion matrices. TW Reports, TW538, 25 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Vandebril, R., Van Dooren, P. (2008). Implicit double shift QR-algorithm for companion matrices. TW Reports, TW532, 29 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Bultheel, A., Cruz Barroso, R., Van Barel, M. (2008). On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. TW Reports, TW530, 32 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Chesnokov, A., Van Barel, M. (2008). A direct method to solve block banded block Toeplitz systems with non-banded Toeplitz blocks. TW Reports, TW531, 13 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Frederix, K., Gemignani, L., Van Barel, M. (2008). On the fast reduction of symmetric rationally generated Toeplitz matrices to tridiagonal form. TW Reports, TW521, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Delvaux, S., Frederix, K., Van Barel, M. (2008). Transforming a hierarchical into a unitary-weight representation. TW Reports, TW517, 27 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Frederix, K., Van Barel, M. (2008). Solving a large dense linear system by adaptive cross approximation. TW Reports, TW513, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Mastronardi, N., Van Barel, M., Vandebril, R. (2008). On the computation of the nullspace of Toeplitz-like matrices. TW Reports, TW516, 12 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Vanberghen, Y., Van Dooren, P. (2007). Using semiseparable matrices to compute the SVD of a general matrix product/quotient. TW Reports, TW508, 8 pp: K.U.Leuven, Department of Computer Science.

Laudadio, T., Mastronardi, N., Van Barel, M. (2007). Computing a lower bound of the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. TW Reports, TW511, 14 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. TW Reports, TW507, 29 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A rational QR-iteration. TW Reports, TW504, 19 pp: K.U.Leuven, Department of Computer Science.

Mastronardi, N., Van Barel, M., Vandebril, R. (2007). A fast algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. TW Reports, TW493, 14 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M., Mastronardi, N. (2007). A Multiple Shift QR-step for Structured Rank Matrices. TW Reports, TW489, 22 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Golub, G., Van Barel, M. (2007). On solving the definite tridiagonal symmetric generalized eigenvalue problem. TW Reports, TW485, 14 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). FFT-like factorizations using group theory. TW Reports, TW481, 24 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). Structures preserved by generalized inversion and Schur complementation. TW Reports, TW478, 21 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). Rank-deficient submatrices of Kronecker products of Fourier matrices. TW Reports, TW477, 26 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M., Mastronardi, N. (2006). A parallel QR-factorization/solver of structured rank matrices. TW Reports, TW474, 22 pp: K.U.Leuven, Department of Computer Science.

Vanberghen, Y., Vandebril, R., Van Barel, M. (2006). A QZ-algorithm for semiseparable matrices. TW Reports, TW471, 17 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Gemignani, L., Van Barel, M. (2006). Fast QR factorization of Cauchy-like matrices. TW Reports, TW469, 19 pp: K.U.Leuven, Department of Computer Science.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A fast algorithm for the recursive calculation of dominant singular subspaces. TW Reports, TW468, 15 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). Rank-deficient submatrices of Fourier matrices. TW Reports, TW470, 21 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). Eigenvalue computation for unitary rank structured matrices. TW Reports, TW465, 31 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). Unitary rank structured matrices. TW Reports, TW464, 33 pp: K.U.Leuven, Department of Computer Science.

Mastronardi, N., Van Barel, M., Vandebril, R. (2006). A Schur-based algorithm for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. TW Reports, TW461, 14 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). A Hessenberg reduction algorithm for rank structured matrices. TW Reports, TW460, 30 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). The explicit QR-algorithm for rank structured matrices. TW Reports, TW459, 32 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2006). A Givens-weight representation for rank structured matrices. TW Reports, TW453, 34 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Delvaux, S., Van Barel, M. (2006). A QR-based solver for rank structured matrices. TW Reports, TW454, 24 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2005). On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form. TW Reports, TW436, 29 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Mastronardi, N., Van Barel, M. (2005). Solving linear systems with a Levinson-like solver. TW Reports, TW435, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Delvaux, S., Marco, A., Martinez, J., Van Barel, M. (2005). Fast computation of determinants of Bézout matrices and application to curve implicitization. TW Reports, TW434, 16 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Mastronardi, N., Van Barel, M., Vandebril, R. (2005). A fast algorithm for subspace tracking. TW Reports, TW430, 9 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Mastronardi, N., Van Barel, M. (2005). A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices. TW Reports, TW427, 24 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Mastronardi, N., Vandebril, R., Van Barel, M. (2005). A Levinson-like algorithm for symmetric positive definite semiseparable plus diagonal matrices. TW Reports, TW423, 13 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Mastronardi, N., Van Barel, M., Vandebril, R. (2005). Computing the rank revealing factorization of symmetric matrices by the semiseparable reduction. TW Reports, TW418, 14 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Plestenjak, B., Van Camp, E., Van Barel, M. (2005). A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem: Institute for Mathematics, Physics and Mechanics, Ljubljana, Slovenia.

Mastronardi, N., Schuermans, M., Van Barel, M., Vandebril, R., Van Huffel, S. (2005). A Lanczos-like reduction of symmetric structured matrices into semiseparable ones. TW Reports, TW420, 10 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Golub, G., Mastronardi, N. (2004). A bibliography on semiseparable matrices. TW Reports, TW412, 16 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Delvaux, S., Van Barel, M. (2004). Structures preserved by Schur complementation. TW Reports, TW415, 28 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Delvaux, S., Van Barel, M. (2004). Structures preserved by matrix inversion. TW Reports, TW414, 23 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Golub, G., Van Barel, M. (2004). A small note on the scaling of symmetric positive definite semiseparable matrices, 6 pp: Stanford's Scientific Computing and Computational Mathematics Program (SCCM).

Mastronardi, N., Van Camp, E., Van Barel, M., Vandebril, R. (2004). On computing the eigenvectors of a class of structured matrices. TW Reports, TW407, 15 pp: K.U.Leuven, Department of Computer Science.

Helsen, S., Van Barel, M. (2004). A numerical solution of the constrained energy problem. TW Reports, TW409, 14 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Camp, E., Van Barel, M., Mastronardi, N. (2004). Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. TW Reports, TW398, 16 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2004). Rank structures preserved by the QR-algorithm: the singular case. TW Reports, TW400, 22 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2004). Structures preserved by the QR-algorithm. TW Reports, TW399, 13 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M. (2004). Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Ritz values. TW Reports, TW396, 8 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M. (2004). A short note on the nullity theorem. TW Reports, TW397, 12 pp: K.U.Leuven, Department of Computer Science.

Vandebril, R., Van Barel, M., Mastronardi, N. (2004). An implicit Q-theorem for Hessenberg-like matrices. TW Reports, TW394, 22 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Mastronardi, N., Van Barel, M., Vandebril, R. (2004). A note on the recursive calculation of dominant singular subspaces. TW Reports, TW393, 6 pp: K.U.Leuven, Department of Computer Science.

Delvaux, S., Van Barel, M. (2004). Orthonormal rational function vectors. TW Reports, TW390, 29 pp: K.U.Leuven, Department of Computer Science.

Codevico, G., Heinig, G., Van Barel, M. (2004). A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations. TW Reports, TW386, 11 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Van Camp, E., Mastronardi, N. (2004). Orthogonal similarity transformation into semiseparable matrices of semiseparability rank k. TW Reports, TW380, 15 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Bultheel, A., Cuyt, A., Van Assche, W., Van Barel, M., Verdonk, B. (2003). Generalizations of orthogonal polynomials. TW Reports, TW375, 42 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Codevico, G., Pan, V., Van Barel, M., Wang, X., Zheng, A. (2003). Newton-like iteration for general and structured matrices. TW Reports, TW372, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Helsen, S., Kuijlaars, A., Van Barel, M. (2003). Convergence of the isometric Arnoldi process. TW Reports, TW373, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A note on the representation and definition of semiseparable matrices. TW Reports, TW368, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). A QR-method for computing the singular values via semiseparable matrices. TW Reports, TW366, 30 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). An implicit QR algorithm for semiseparable matrices, to compute the eigendecomposition of symmetric matrices. TW Reports, TW367, 31 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Mastronardi, N., Van Camp, E., Van Barel, M. (2003). Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices, nr. 7 (5/2003), 19 pp: Istituto per le Applicazioni del Calcolo "M. Picone" (IAC).

Van Barel, M., Vandebril, R., Mastronardi, N. (2003). The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form. TW Reports, TW360, 28 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Mastronardi, N. (2003). An orthogonal similarity reduction of a matrix to semiseparable form. TW Reports, TW355, 22 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Codevico, G., Pan, V., Van Barel, M., Wang, X. (2002). Iterative Inversion of Structured Matrices. TW Reports, TW351, 13 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Codevico, G. (2002). An adaptation of the Newton iteration method to solve symmetric positive definite Toeplitz systems. TW Reports, TW349, 17 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Fasino, D., Gemignani, L., Mastronardi, N. (2002). Orthogonal Rational Functions and Structured Matrices. TW Reports, TW350, 19 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Bultheel, A., Van Barel, M., Van gucht, P. (2002). Orthogonal basis functions in discrete least squares rational approximation. TW Reports, TW347, 24 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Camp, E., Mastronardi, N., Van Barel, M. (2002). Two fast algorithms for solving diagonal-plus-semiseparable linear systems: Instituto per le Applicazioni del Calcolo "M. Picone", Sez. Bari (Consiglio Nazionale delle Ricerche), Italië.

Vandebril, R., Van Barel, M. (2002). A fast solver for a bivariate polynomial vector homogeneous interpolation problem. TW Reports, TW342, 23 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Vandebril, R., Van Barel, M., Ruatta, O., Mourrain, B. (2002). A new algorithm for solving multivariate polynomial problems by means of interpolation. TW Reports, TW343, 26 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Kravanja, P., Sakurai, T., Van Barel, M. (2002). Error analysis of a derivative-free algorithm for computing zeros of analytic functions. TW Reports, TW339, 11 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Kravanja, P., Sakurai, T., Sugiura, H., Van Barel, M. (2002). An error analysis of two related quadrature methods for computing zeros of analytic functions, Part II. TW Reports, TW338, 10 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Heinig, G., Kravanja, P. (2002). A superfast method for solving Toeplitz linear least squares problems. TW Reports, TW336, 15 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Fasino, D., Mastronardi, N., Van Barel, M. (2002). Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form, nr. 3/2002, 14 pp: Instituto per le Applicazioni del Calcolo "M. Picone", Sez. Bari (Consiglio Nazionale delle Ricerche), Italië.

Sakurai, T., Kravanja, P., Sugiura, H., Van Barel, M. (2001). An error analysis of two related quadrature methods for computing zeros of analytic functions. TW Reports, TW334, 14 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Bini, D., Codevico, G., Van Barel, M. (2001). Solving Toeplitz least squares problems by means of Newton's iteration. TW Reports, TW333, 10 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Hendrickx, J., Vandebril, R., Van Barel, M. (2001). A fast method for solving the two-dimensional Helmholtz equation with Robbins boundary conditions. TW Reports, TW326, 27 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Hendrickx, J., Van Barel, M. (2000). Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform. TW Reports, TW316, 23 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Hendrickx, J., Van Barel, M. (2000). A combination of cyclic reduction and Kronecker product methods for the direct solution of Poisson's equation. TW Reports, TW313, 14 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Heinig, G., Kravanja, P. (1999). A stabilized superfast solver for nonsymmetric Toeplitz systems. TW Reports, TW293, 17 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Kravanja, P., Van Barel, M. (1998). A derivative-free algorithm for computing zeros of analytic functions. TW Reports, TW285, 19 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Kravanja, P., Sakurai, T., Van Barel, M. (1998). On locating clusters of zeros of analytic functions. TW Reports, TW280, 25 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Pták, V., Vavrín, Z. (1997). Extending the notions of companion and infinite companion to matrix polynomials. TW Reports, TW261, 24 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Kravanja, P., Van Barel, M., Haegemans, A. (1996). Computing zeros of analytic functions via modified moments based on formal orthogonal polynomials. TW Reports, TW246, 17 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Bultheel, A. (1995). A generalized minimal partial realization problem. TW Reports, TW229, 20 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1995). A look-ahead algorithm for the solution of block Toeplitz systems. TW Reports, TW224, 34 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1994). A look-ahead method to compute vector Padé-Hermite approximants. TW Reports, TW204, 23 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1993). Discrete least squares approximation with polynomial vectors. TW Reports, TW190, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Bultheel, A., Van Barel, M. (1993). Euclid, Padé and Lanczos, another golden braid. TW Reports, TW188, 22 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Bultheel, A., Van Barel, M. (1993). Vector orthogonal polynomials and least squares approximation. TW Reports, TW184, 21 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1993). Discrete linearized least squares rational approximation on the unit circle (revised). TW Reports, TW179, 15 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Bultheel, A., Van Barel, M. (1991). Formal orthogonal polynomials and rational approximation for arbitrary bilinear forms. TW Reports, TW163, 18 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1990). A new formal approach to the rational interpolation problem. TW Reports, TW134, 35 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1990). A new method for rational approximation and implementation on the IBM3090 supercomputer. TW Reports, TW135, 30 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1990). A new approach to the rational interpolation problem: the vector case. TW Reports, TW130, 13 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1988). A minimal partial realization algorithm for MIMO systems. VI. The time moment and mixed problemsrevisited. TW Reports, TW107, 13 pp: Department of Computer Science, K.U.Leuven, Leuven, Belgium.

Van Barel, M., Kinnaes, D., Bultheel, A. (1988). A minimal partial realization algorithm for MIMO systems.VII. An Ada program. TW Reports, TW110, 14 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Bultheel, A., Van Barel, M. (1988). A matrix Euclidean algorithm and matrix Padé approximation. TW Reports, TW104, 27 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1988). A minimal partial realization algorithm for MIMO systems. V: A canonical matrix continued fraction. TW Reports, TW100, 17 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1987). A minimal partial realization algorithm for MIMO systems. IV: a matrix Euclidean algorithm. TW Reports, TW94, 16 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1987). A minimal partial realization algorithm for MIMO systems. III: a parametrization of all solutions. TW Reports, TW93, 10 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1987). An algebraic method to solve the minimal partial realization problem for matrix sequences. TW Reports, TW92, 16 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1987). A minimal partial realization algorithm for MIMO systems. II: a matrix continued fraction. TW Reports, TW91, 15 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1986). An algorithm for minimal partial realization with inaccurate data. TW Reports, TW80, 48 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Van Barel, M., Bultheel, A. (1986). A Minimal partial realization algorithm for MIMO systems. TW Reports, TW79, 64 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

Decorte, J., Bultheel, A., Van Barel, M. (1986). A numerical implementation of the algorithm of Kung and Lin for AAK model reduction. TW Reports, TW81, 53 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.

DI (Misc.)

Van Barel, M. (2011). Rank structured matrices: theory, algorithms and applications.

Van Barel, M. (2011). Structured rank matrices.

Van Barel, M., Frederix, K. (2009). Large eigenvalue problems and spectral clustering.

Frederix, K., Van Barel, M. (2008). Solving a large dense linear system by adaptive cross approximation. Seminar series numerical analysis and applied mathematics, Department Computer Science, K.U.Leuven.

Van Barel, M., Vandebril, R. (2004). The nullity theorem and some generalizations. Semiseparable matrices and their use in numerical linear algebra, 1.

Van Barel, M., Vandebril, R. (2004). Rational Krylov subspaces, computing singular values using semiseparable matrices, applications and generalizations of semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.

Van Barel, M., Vandebril, R. (2004). The representation of semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.

Van Barel, M., Vandebril, R. (2004). Orthogonal similarity reduction of a symmetric matrix into semiseparable form and it\'s properties. Semiseparable matrices and their use in numerical linear algebra, 1.

Van Barel, M., Vandebril, R. (2004). Implicit QR-algorithms for tridiagonal and semiseparable matrices. Semiseparable matrices and their use in numerical linear algebra, 1.

Van Barel, M. (2003). The generalized Schur algorithm. Numerical Methods for Markov Chains. Part I: Structured Matrices (Numerical Linear Algebra and Its Applications, XXI International School and Workshop), 1.

Van Barel, M. (2003). Indefinite and possibly unsymmetric structured matrices. Numerical Methods for Markov Chains. Part I: Structured Matrices (Numerical Linear Algebra and Its Applications, XXI International School and Workshop), 1.

This list is generated from Lirias and contains data from Lirias as it is entered and validated by the researcher.