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Nicola Mastronardi
Research Director
 
Papers

 

  • T. Laudadio, A.R. Croitor Sava, D.M. Sima, A.J. Wright, A. Heerschap, N. Mastronardi and S. Van Huffel, Hierarchical non-negative matrix factorization applied to three-dimensional 3T MRSI data for automatic tissue characterization of the prostate, NMR Biomed., DOI: 10.1002/nbm.3527

  • N. Mastronardi, P. Van Dooren, Rank-revealing decomposition of symmetric indefinite matrices via block anti-triangular factorization, Linear Algebra Appl., doi:10.1016/j.laa.2015.09.037

  • N. Mastronardi, P. Van Dooren, Creating a nilpotent pencil via deadbeat, International Journal of Control, 88:12, 2627-2634, 2015.  DOI: 10.1080/00207179.2015.1055590.

  • N. Mastronardi, P. Van Dooren, Revisiting the stability of computing the roots of a quadratic polynomial,  Electronic Transactions on Numerical Analysis, 44, pp. 73-82, 2015.

  • N. Mastronardi, P. Van Dooren, A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints, IMA Journal of Numerical Analysis, 35 (1) 107-132, 2015.

  • N. Mastronardi, P. Van Dooren, An algorithm for solving the indefinite least squares problem with equality constraints, BIT, 54(1), pp 201-218, 2014.

  • D. Bini,  L. De Lathauwer, N. Mastronardi, M. Van Barel, R.Vandebril, P. Van Dooren, Introduction to the special issue, Journal of Computational and Applied Mathematics,  272, pp. 275, 2014.

  • A. Balenzano, G. Satalino, F. Lovergine, M. Rinaldi, V. Iacobellis, N.Mastronardi, F. Mattia, On the use of temporal series of L- and X-band SAR data for soil moisture retrieval. Capitanata plain case study, European Journal of Remote Sensing, 46, pp.721-737, 2013.

  • N. Mastronardi, P. Van Dooren, The antitriangular factorization of symmetric matrices, SIAM J. Matrix Anal. Appl.34, pp. 173-196, 2013.

  • N. Mastronardi, P. Van Dooren, Recursive approximation of the dominant eigenspace of an indefinite matrix, Journal of Computational and Applied Mathematics,  236(16), pp. 4090-4104, 2012.

  • M. Donatelli, N. Mastronardi, Fast econvolution with approximated PSF by RSTLS with antireflective boundary conditions, Journal of Computational and Applied Mathematics,  236(16), pp. 3992-4005, 2012.

  • M. Berry, D.A. Bini, N. Mastronardi, S. Serra-Capizzano, Numerical Linear Algebra, Internet and Large Scale Applications, Editorial, Journal of Computational and Applied Mathematics, 234 (11), 3073-3074, 2010.

  • Nicola Mastronardi,  Eugene Tyrtyshnikov, Paul Van Dooren, A fast algorithm for updating and downsizing the dominant kernel principal components, SIAM J. Matrix Anal. Appl.,  31-5, pp. 2376-2399, 2010.

  • Michael Ng, Nicola Mastronardi,  Eugene Tyrtyshnikov, Decay in Functions of Multi-band Matrices, SIAM J. Matrix Anal. Appl.SIAM J. Matrix Anal. Appl.,  31(5), pp. 2721-2737, 2010.

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

  • N. Mastronardi, M. Van Barel and R. VandebrilA Fast Algorithm for Computing the Smallest Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix, Numerical Linear Algebra with Applications, 15(4), pp. 327-337, 2008. 

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

  • R. Vandebril, M. Van Barel, and N. Mastronardi A parallel QR-factorization/solver of quasiseparable matrices, Electron. Trans. Numer. Anal.,  30, pp. 144-167, 2008.

  • T. Laudadio, N. Mastronardi and M. Van Barel, Computing a Lower Bound of the smallest Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix, IEEE Transactions on Information Theory, 54(10),  pp.  4726-4731, 2008.

  • Raf Vandebril, Marc Van Barel and Nicola Mastronardi, A rational QR-iteration without inversion Numer. Math.,  110(4), pp. 561-575, 2008.

  • Raf Vandebril, Marc Van Barel, Nicola Mastronardi, A multiple shift QR-step for structured rank matrices,  Journal of Computational and Applied Mathematics, in press.

  • Raf Vandebril, Marc Van Barel, Nicola Mastronardi, A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices, Electron. Trans. Numer. Anal., 33, 126-150, 2008.

  • Nicola Mastronardi, Raf Vandebril, Marc Van Barel, On the computation of the nullspace of Toeplitz-like Matrices, Electron. Trans. Numer. Anal., 33, 151-162, 2008.

  • R. Vandebril, N. Mastronardi, M. Van Barel, A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices, J. Comput. Appl. Math., 198 , pp. 75-97, 2007.

  • R. Vandebril, N. Mastronardi, and M. Van Barel, Solving linear systems with a Levinson-like solver, Electron. Trans. Numer. Anal.  26, pp. 243-269, 2007.

  • N. Mastronardi and D. P. O'Leary, Fast Robust Regression Algorithms for Problems with Toeplitz Structure, Computational Statistics and Data Analysis, 52(2),  pp. 1119-1131,  2007.

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

  • R. Vandebril, E. Van Camp, M. Van Barel, N. Mastronardi, Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal, Numer. Math., 102, pp. 709-726, 2006.

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

  • M. Van Barel, D.  Fasino, L. Gemignani, N. Mastronardi,   Orthogonal Rational Functions and Structured Matrices, SIAM J. Matrix Anal. Appl. , 26,2005, pp. 310-329.

  • N. Mastronardi, P. Lemmerling,   S. Van Huffel  Fast regularized structured total least squares algorithm for solving the  basic deconvolution problem, Numer. Lin.  Alg. Appl., 12(2-3), 2005, pp. 201-209.

  • M. Van Barel,       E. Van Camp  and N. Mastronardi,   Orthogonal similarity tranformation into semiseparable matrices of semiseparability  rank k, Numer. Lin. Alg. Appl.,   Vol 12(10), 2005, pp. 981-1000.

  • R. Vandebril, M. Van Barel and N. Mastronardi, A note on the representation and definition of semiseparable matrices, Numer. Lin. Alg. Appl., 12:8, pp.839-858, 2005.

  • N. Mastronardi, M. Van Barel and R. Vandebril, A note  on the Recursive Calculation of Dominant Singular Subspaces, Numer. Alg.,38: 4, 2005, pp. 237-242.

  • N. Mastronardi, E. Van Camp and M. Van Barel, Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices, Numer. Alg., 9:4, pp. 379-398, 2005.

  • R. Vandebril, M. Van Barel  and N. Mastronardi, An orthogonal similarity reduction of a matrix to semiseparable formSIAM J. Matrix Anal. Appl., 27:1, pp. 176-197, 2005.

  • R. Vandebril, M. Van Barel and N. Mastronardi, An implicit QR algorithm for symmetric semiseparable matrices, Numer. Lin. Alg. Appl., 12:7, pp.659-682, 2005.

  • N. Mastronardi, S.Van Huffel, Numerical Linear Algebra and its Applications, Numerical Linear Algebra with Applications, vol. 12, Editorial of the Special Issue on Numerical Linear Algebra and its Applications, pp.683, 2005.

  • N. Mastronardi, M. Schuermans,  M. Van Barel, R. Vandebril, S. Van Huffel, The Lanczos reduction to semiseparable matrics, in Proc. of the 17th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation (IMACS 2005), Paris, France, Jul. 2005, pp. 1-6.

  • R. Vandebril, M. Van Barel, and N. Mastronardi An implicit Q-theorem for Hessenberg-like matrices, Mediterranean Journal of Mathematics, vol. 3:2, pp.259-276, 2005.

  • N. Mastronardi, M. Schuermans, M. Van Barel, R. Vandebril, and S. Van Huffel A Lanczos-like reduction of symmetric structured matrices to semiseparable form, Calcolo, 2005, 42 (3-4), pp. 243-248, 2005.

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

  • E. Van Camp, N. Mastronardi, M. Van Barel, Two fast algorithms for solving diagonal-plus-semiseparable linear systems, Journal of Computational and Applied Mathematics, Vol. 164-165, 2004, pp. 731-747.

  • R. Vandebril, M. Van Barel  and N. Mastronardi, A QR-method for computing the singular values via semiseparable matrices, Numer. Math., Vol. 99:1, 2004, pp. 163-195.

  • F. Diele, T. Laudadio , N. Mastronardi, On some inverse eigenvalue problems with Toeplitz-related structure, SIAM J. Matrix Anal. Appl. , 26, 2004, pp. 285-294.

  • N. Mastronardi, P. Lemmerling, A. Kalsi, D. O'Leary, S. Van Huffel, Implementation of the regularized structured total least squares algorithms for blind image deblurring , Linear Algebra Appl.,  Vol. 391, pp. 203-221, 2004.

  • D. Fasino, N. Mastronardi and M. Van Barel, New fast and stable algorithms for reducing diagonal plus semi-separable matrices to tridiagonal form, Contemporary Mathematics, AMS/SIAM,  Vol. 323, 105-118, 2003.

  • P. Lemmerling, N. Mastronardi and S. Van Huffel, Efficient implementation of a Structured Total Least Squares based speech compression method, Linear Algebra Appl., Vol. 366, 2003, pp. 295-315.

  • T. Laudadio , N. Mastronardi, L. Vanhamme, P. Van Hecke, S. Van Huffel, Improved Lanczos algorithms for blackbox MRS data quantitation, Journal of Magnetic Resonance , vol. 157, 2002, pp. 292-297.

  • M. Van Barel, D. Fasino, L. Gemignani, N. Mastronardi N, Orthogonal rational functions and diagonal-plus-semiseparable matrices, Proceedings SPIE Annual meeting, Seattle, 2002.

  • N. Mastronardi, S. Chandrasekaran, and S. Van Huffel, Fast and stable algorithms for reducing diagonal plus semi-separable matrices to tridiagonal and bidiagonal form, BIT, Vol.1, No.1, pp 149-157, 2001.

  • N. Mastronardi, S. Chandrasekaran, and S. Van Huffel, Fast and stable two-way algorithm for diagonal plus semi-separable systems of linear equations, Numerical Linear Algebra with Applications, vol. 8, no. 1, pp. 7-12, 2001.

  • N. Mastronardi, P. Lemmerling, and S. Van Huffel, The structured total least squares problem,   Contemporary Mathematics, AMS, Vol. 280-1, 157-176, 2001.

  • N. Mastronardi, P. Van Dooren, and S. Van Huffel, On the stability of the generalized Schur algorithm, Lecture notes in Computer Science, Vol. 1988, 2001, pp. 560-567.

  • N. Mastronardi , D. Kressner, V. Sima, P. Van Dooren, and S. Van Huffel, A fast algorithm for subspace state-space system identification via exploitation of the displacement structure, Journal of Computational and Applied Mathematics, Vol. 132, 1, 71-81, July 2001.

  • Mastronardi N., Fast and reliable algorithms for structured total least squares and related matrix problems, PhD thesis, Faculty of Engineering, K.U.Leuven (Leuven, Belgium), K.U.Leuven, May 2001.

  • N. Mastronardi, P. Lemmerling, and S. Van Huffel, Fast structured Total Least Squares algorithms via exploitation of the displacement structure,  in Total Least Squares and Errors-in-Variables Modeling : Analysis, Algorithms and Applications, Editors Van Huffel S., and Lemmerling P., Kluwer, pp. 93-106.

  • T. Laudadio , N. Mastronardi, L. Vanhamme and S. Van Huffel, Fast and stable algorithms for blackbox MRS data quantitation, Proceedings of 12th ProRISC Workshop on Circuits, Systems and Signal Processing, Veldhoven, the Netherlands, 2001.

  • N. Mastronardi, P. Lemmerling, and S. Van Huffel, Fast structured total least squares algorithm for solving the basic deconvolution problem, SIAM J. Matrix Anal. Appl., 22, pp.533-553, 2000.

  • P. Lemmerling, N. Mastronardi and   S. Van Huffel,   Fast algorithm for solving the Hankel/Toeplitz Structured Total Least Squares  Problem, Numerical Algorithms, vol. 23, pp. 371-392, 2000.

  • Wang Y., Van Huffel S., , Heyvaert E., Vanhamme L., Mastronardi N., and Van Hecke P., Magnetic Resonance Spectroscopic Quantitation via Complex Principal Component Analysis, in Proc. of the 5th International Conference on Signal Processing (ICSP) of 16th IFIP World Computer Congress (WCC-ICSP2000), Beijing, P. R. China, Aug. 2000.

  • Y. Wang, S. Van Huffel, Vanhamme L., Mastronardi N., Van Hecke P., Advanced Signal Processing Methods for Quantitation of Resonances in Magnetic Resonance Spectra, in Proc. of the Thirteenth IEEE Symposium on Computer-Based Medical Systems (CBMS2000), Houston, USA, Jun. 2000, pp. 63-68.

  • N. Mastronardi, P. Van Dooren, and S. Van Huffel, Fast implementation of the QR factorization in Subspace Identification, in Proc. of the UKACC International Conference CONTROL 2000, Cambridge (UK), September 2000.

  • N. Mastronardi and D. Boley, Computing the smallest eigenpair of a symmetric positive definite Toeplitz matrix, SIAM J. Sci. Comput. , 20(5), pp.1921-1927, 1999.

  • Y. Wang, S. Van Huffel, and N. Mastronardi, Quantification of Resonances in Magnetic Resonance Spectra via Principal Component Analysis and Hankel Total Least Squares, in Proc. of the Program for Research on Integrated Systems and Circuits (ProRISC99), Mierlo, The Netherlands, Nov. 1999, pp. 585-591.

  • N. Mastronardi and D. Occorsio, Product integration rules on the semiaxis, Rendiconti del Circolo Matematico di Palermo, Vol. II, Ser. 52, 605-618 (1998).

  • N. Mastronardi, A divide and conquer type algorithm for the symmetric eigenvalue problem, Facta Universitatis, Ser. Mathematics and Informatics, 11, pp.119-128, 1997.

  • N. Mastronardi, Some algorithms for computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix, UMSI 97/90, Supercomputing Institute, University of Minnesota.

  • N. Mastronardi and D. Occorsio, Some numerical algorithms to evaluate Hadamard finite--part integrals, J. Comput. Appl. Math., 70, pp.75-93, 1996.

  • M. Capobianco and N. Mastronardi, A numerical method for Volterra--type integral equation with logarithmic kernel, Facta Universitatis, Ser. Mathematics and Informatics, 13, pp.127-138, 1996.

  • N. Mastronardi and G. Piazza, Limite a posteriori del numero di condizione in norma spettrale per matrici tridiagonali, Calcolo, 29(1-2), 81-96, 1993.

  • P. Amodio and N. Mastronardi, A parallel version of the cyclic reduction algorithm on hypercube, Parallel Computing, 19, pp.1273 -1281, 1993.

  • P. Amodio and N. Mastronardi, An optimized parallel version of the cyclic reduction algorithm, Proceedings of the ISMM International workshop on Parallel Computing, Trani (Italy), September 10-13, 1991.

 

 

 

 

 

 

46   Year: 2013  Pages: 721 - 737
46   Year: 2013  Pages: 721 - 737