Publications (2007, 2006, 2005, 2004, 2003, 2002, 2001-2000-1999-1998-1997)
A list of technical reports and published papers produced by the members of the group on geometric integration and related topics. If you are interested in one of these papers you can contact one of the author to receive it by e-mail.
M.T. Chu, N. Del Buono, B. Yu. Structured quadratic inverse eigenvalue problem, I. Serially linked systems. To appear on SIAM Journal on Scientific Computing 2007
M.T. Chu, N. Del Buono. Total decoupling of a general quadratic pencil, Part II: gradient flow approaches. To appear on Journal of Sounds and Vibrations 2007.
M.T. Chu, N. Del Buono. Total decoupling of a general quadratic pencil, Part I: theory. To appear on Journal of Sounds and Vibrations 2007N. Del Buono, L. Lopez, T. Politi. Computation of functions of Hamiltonian and skew-symmetric matrices. To appear on Mathematics and Computers in Simulations.
L. Dieci, C. Elia. SVD algorithms to approximate spectra of dynamical systems. To appear on "Mathematics and Computers in Simulation".
L. Dieci, A. Pugliese. Singular Values of Two-Parameter Matrices: An Algorithm To Accurately Find Their Intersections. To appear Mathematics and Computers in Simulations.
L. Dieci, A. Pugliese. Two-Parameter SVD: Coalescing Singular Values and Periodicity. SIAM Journal Matrix Analysis and Applications. Submitted.
N. Del Buono, A differential approach to solve the inverse eigenvalue problem derived by a neural network.
Future Generation Computer Systems, Vol 22, pp. 441-446, 2006.N. Del Buono, L. Lopez, T. Politi, (Eds.): Special Section: Numerical Methods for Structured Systems , Future
Generation Computer Science , Vol. 22 , 2006 , Elsevier Science Publ.Comp.N. Del Buono, L. Lopez, T. Politi, Numerical Methods for Structured Systems: guest editorial, Future Generation Computer Systems, Vol 22, pp. 393-394, 2006.
L. Dieci, C. Elia. The singular value decomposition to approximate spectra of dynamical systems. .Theoretical aspects. Journal of Differential Equations, vol. 230, pp. 502-531.
L. Dieci, L. Lopez, Smooth singular value decomposition on symplectic group and Lyapunov exponents approximation. CALCOLO. vol. 43, pp. 1-15
L. Lopez, V. Simoncini. Analysis of projection-type methods for approximating the matrix exponential. SIAM Journal on Numerical Analysis vol. 44, pp. 613-635 ISSN: 0036-1429.
L. Lopez, V. Simoncini. Preserving geometric properties of the exponential matrix by block Krylov subspaces methods. BIT. vol. 46 (4), pp. 813-830 ISSN: 0006-3835.
A. Pugliese, T. Politi. Numerical Methods for Computing the SVD in the D-orthogonal Group. Future Generation Computer Systems. vol. 22, pp. 423-429 ISSN: 0167-739X.
A. Pugliese, T. Politi. On the Solution of Skew-Symmetric Shifted Linear Systems. ICCS2006. 28-31 Maggio, 2006. (vol. 3994, pp. 732-739) Lecture Notes in Computer Science.
L. Lopez. Numerical Methods for Ordinary Differential Equations on Matrix Manifolds. To appear on Journal of Computational and Applied Mathematics.
G. Di Lena, G. Piazza, T. Politi, An algorithm for the computation of G-singular values of a matrix. To appear on Proceedings HERCMA 2005.
M. Chu, N. Del Buono, L. Lopez, T. Politi, On the low rank approximation of data on the unit sphere, SIAM Journal Matrix Analysis Appl. Vol. 27, No. 1, pp. 46-60, 2005.
N. Del Buono, T. Politi, A continuous weighted low-rank approximation for collaborative filltering problem,
Lecture Notes in Computer Science Series (Springer-Verlag), 3686, pp 45-53, 2005.N. Del Buono, L. Lopez, Geometric integration of ODEs on the general linear group of matrices, Series on Advances in Mathematics for Applied Sciences, Vol. 69, Applied and Industrial Mathematics in Italy, Proceedings
of the 7th Conference, Venice, Italy 20-24 September 2004, pp. 270-281, 2005
N. Del Buono, L. Lopez, R. Peluso, Computation of the Exponential of Large Sparse Skew Symmetric Matrices, SIAM Journal on Scientific Computing , Vol. 27, No. 1, pp. 278-293, 2005.
L. Lopez, A. Pugliese, Decay behaviour of functions of skew-symmetric matrices. Proceedings of HERCMA 2005, Athens 20-24 Sept. 2005, Editor E.A. Lipitakis.
L. Lopez, C. Mastroserio, A. Pugliese, Semi-explicit time-stepping methods for dynamical systems with complementary constraints. Series on Advances in Mathematics for Applied Sciences, Vol. 69, Applied and Industrial Mathematics in Italy, Proceedings of the 7th Conference, Venice, Italy 20-24 September 2004, 2005
L. Dieci, C. Elia, L. Lopez, Smooth SVD on the Lorentz group with applications to computations of Lyapunov exponents, J. Comp. Appl. Math, Vol. 164-165, pp. 255-264, 2004
N. Del Buono, L. Lopez, A hybrid nuemrical techniques for a class of implicit matrix differentail equations, Lecture Notes in Computer Science Series (Springer-Verlag, Berlin Heidelberg), 3039, pp. 459-466, 2004.
N. Del Buono, T. Politi, A continuous technique for the Weighted Low-Rank Approximation Problem, Lecture Notes in Computer Science Series (Springer-Verlag), 3044 Vol. II, pp. 988-997, 2004.
S. Fiori, N. Del Buono, T. Politi, Optical Flow Estimation via Neural Singular Value Decomposition Learning, Lecture Notes in Computer Science Series (Springer-Verlag), 3044 Vol. II, pp. 961-970, 2004.
M.T. Chu, N. Del Buono, F. Diele, S. Ragni, T. Politi, On the Semigroup of Standard Symplectic Matrices and Its Applications, Linear Algebra with Applications, 377, pp. 215-225, 2004.
M.T.Chu , F. Diele, I.Sgura, Gradient flow methods for matrix completion with prescribed eigenvalue, Linear Algebra with Applications Volume 379, pp. 85-112, 2004.
T. Politi, A Continuous Approach for the Computation of the Hyperbolic Singular Value Decomposition, Lecture Notes in Computer Science Series (Springer-Verlag), 3044 Vol. II, 2004.
N. Del Buono, L. Lopez, Numerical integration of a class of ordinary differential equation on the general linear group of matrices, Numerical Algorithms Vol. 34, pp 271-282, 2003.
L. Dieci, L. Lopez, Lyapunov exponents of systems evolving on quadratic groups, SIAM J. Matrix Anal. Appl. Vol 24, (4), pp. 1175-1185,2003.
N. Del Buono, L. Lopez, A survey on methods for computing matrix exponentials in numerical schemes for ODEs, Lecture Notes in Computer Science Series (Springer-Verlag), 265, Vol. II, pp. 111-119, 2003.
N. Del Buono, L. Lopez, Differential approaches for solving Euclidean norm balanced realizations in control theory, FGCS 19 (7), pp 1155-1163, 2003
N. Del Buono, T. Politi, Geometric Numerical Algorithms: guest editorial , Special Issue on Geometric Numerical Algorithms, Future Generation Computer Systems 19 (3), Elsevier Science, 2003, pp 327-329.
N. Del Buono, C. Elia, Computation of few Lyapunov exponents by geodesic based algorithms, Special Issue on Geometric Numerical Algorithms, Future Generation Computer Systems 19(3), Elsevier Science, 2003, pp 425-430.
F.Diele, I.Sgura, Centrosymmetric isospectral flows and some inverse eigenvalue problems, Linear Algebra and its Applications Volume 366(C), 2003, pp. 199-214
C. Elia, L. Lopez, Exponential monotonicity of quadratic forms in ODEs and preserving methods, FGCS 19(7) , pp 1187 - 1195 , 2003
C. Mastroserio, T. Politi, Applying stabilization techniques to orthogonal gradient flows, Lecture Notes in Computer Science Series (Springer-Verlag), 265, Vol. II, pp. 149-153, 2003.
T. Politi, A discrete approach for the inverse singular value problem in some quadratic group , Lecture Notes in Computer Science Series (Springer-Verlag), 265, Vol. II, pp. 121-130, 2003.
E. Chiarantoni, G. Fornarelli, S. Vergura, T. Politi, Applying fixed point homotopy to nonlinear DAEs deriving from switching circuits, Special Issue on Geometric Numerical Algorithms, Future Generation Computer Systems 19, Elsevier Science, 2003, pp 431-441.
F. Diele, S. Ragni, The global error on Magnus methods based on the Cayley map for some oscillatory problems, Special Issue on Geometric Numerical Algorithms, Future Generation Computer Systems 19, Elsevier Science, 2003, pp 425-430.
N. Del Buono, L. Lopez, C. Mastroserio, Runge-Kutta type methods for isodynamical matrix flows: applications to balanced realizations, Computing 68, 3, pp. 255-274 2002
N. Del Buono, L. Lopez, Geometric integration on manifold of square oblique rotation matrices, SIAM J. Matrix Anal. Appl., 23, 4, 974 - 989, 2002.
N. Del Buono, Designing a neural network via gradient flow, Computational Intelligence and Applications, Dynamic Publishers, Inc., USA, Editors A. Abraham, B. Nath, M. Sambandham, P. Saratchandran, pp. 69-74, 2002.
N. Del Buono, C. Elia, L. Lopez, Symplectic methods based on the matrix variational equation for Hamiltonian systems, Lecture Notes in Computer Science Series. Springer-Verlag, 2329, Vol III, pp.467-477 2002
N. Del Buono, C. Elia, Some remarks on numerical methods for second order differential equations on the orthogonal matrix group, Lecture Notes in Computer Science Series. Springer-Verlag, 2329, Vol III,
pp.526-536, 2002F.Diele, I. Sgura, The Cayley method and the inverse eigenvalue problem for Toeplitz matrices BIT, 42, 2002.
F. Diele, T. Politi, I. Sgura, A Fortran90 Routine for the Solution of Orthogonal Differential Problems, Lecture Notes in Computer Science Series. Springer-Verlag, 2329, Vol III, pp. 449-458.
F.Diele, S. Ragni, Numerical comparison between different Lie-group methods for solving linear oscillatory ODEs , Lecture Notes in Computer Science Series. Springer-Verlag, 2329, Vol III, pp. 459-470, 2002
N. Del Buono, C. Mastroserio, Explicit four stage fourth order Runge-Kutta methods for preserving quadratic conservation laws, J. Comp. Appl. Math 140, pp. 231-243, 2002.
E. Chiarantoni, G. Fornarelli, S. Vergura, T. Politi, A Fixed Point Homotopy Method for Efficient Time-Domain Simulation of Power Electronic Circuits Lecture Notes in Computer Science Series. Springer-Verlag, 2329, Vol III, pp. 439-448.
N. Del Buono, C. Elia, Numerical methods for matrix flows on Grassmann manifold, to appear in Proceedings of HERCMA 2001.
N. Del Buono, L. Lopez, Runge Kutta type methods based on geodesic for systems of ODEs on the Stiefel manifold, BIT 41 (5), pp. 912-923, 2001.
F. Diele, I. Sgura, Centro-Symmetric isospectral flows and some inverse eigenvalue problems, Technical Report IRMA 6/2001. submitted.
T. Politi, A Formula for the Exponential Matrix of Real Skew-Symmetric Matrices of Order 4, BIT 41 (4), pp. 842--845, 2001
L. Lopez, C. Mastroserio, T. Politi, Numerical Methods for Dynamical Systems in the Lorentz Group, Nonlinear Analysis: TMA, 47 , pp. 2585-2596, 2001.
L. Lopez, T. Politi, Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups, Appl. Num. Math. 36, pp. 35-55, 2001.
C. Mastroserio, T. Politi, Piecewise Interpolants on Matrix Lie Groups, Appl. Math. Lett. 14, pp. 333-340, 2001.
2000L. Lopez, C. Mastroserio, T. Politi, A Newton Type Method for Solving Nonlinear Equations on Quadratic Matrix Groups, J. Comp. Appl. Math. 115 , pp. 357-368, 2000.
N. Del Buono, F. Diele, L. Lopez, C. Mastroserio, R. Peluso, T.Politi, I. Sgura, Conservative methods for ordinary differential equations, Annali Università di Ferrara sez. 7, Vol XLV, n.1, Vol. XLV, pp. 357-368, 2000.
N. Del Buono, L. Lopez, Numerical Methods for Hermitian Unitary Differential Systems, J. Comp. Appl. Math. 111, pp. 133-145, 1999.
F.Diele, I. Sgura, The Inverse Eigenvalue Problems for Toeplitz matrices, J. Comp. Appl. Math., 110, pp. 25-43, 1999.
F. Diele, L. Lopez, R. Peluso, The Cayley Transform in the Numerical Solution of Unitary Differential Systems, Advances in Computational Mathematics, 8 , pp.317-334, 1998.
F. Diele, L. Lopez, T. Politi, One step semi-explicit methods based on the Cayley transform for solving isospectral flows, J. Comp. Appl. Math, 89 , pp. 219-223, 1998.
N. Del Buono, F. Diele, L. Lopez, T. Politi, Experiences with Numerical Methods for the Solution of Orthogonal Dynamical Systems, Proceedings of 15th IMACS World Congress, Berlino 1997, Vol. 2, pp. 33-38, A Sydow (Editor) and IRMA-CNR Report n. 3/97
L. Lopez, C. Mastroserio, T. Politi, Variable Step-size Techniques in Continuous Runge-Kutta Methods for Isospectral Dynamical Systems, J. Comp. Appl. Math. 82 , pp. 261-278, 1997.
L. Lopez, T. Politi, Numerical Procedures based on Runge-Kutta Methods for Solving Isospectral Flows, Appl. Num. Math. 25 , pp. 443-459, 1997.