- N. Guglielmi, R. Guerrieri, G. Baccarani:
Highly-Constrained Neural Networks for Industrial Quality Control
,
IEEE Transactions on Neural Networks,
**7**, no. 1, pp. 206--213, 1996. - N. Guglielmi:
Inexact Newton methods for the steady-state analysis of nonlinear circuits
,
Mathematical Models and Methods in Applied Sciences,
**6**, no. 1, pp. 43--57, 1996. - A. Montanari, N. Guglielmi:
Gli indici di proiezione nella projection pursuit
,
Statistica,
**LVI**, no. 1, pp. 63--86, 1996. - N. Guglielmi:
On the asymptotic stability properties of Runge-Kutta methods for delay differential
equations
,
Numerische Mathematik,
**77**, no. 4, pp. 467--485, 1997. - A. Bellen, N. Guglielmi and L. Torelli:
Asymptotic stability properties of Θ-methods for the pantograph equation
,
Applied Numerical Mathematics,
**24**, no. 2--3, pp. 279--293, 1997. - N. Guglielmi:
Delay dependent stability regions of Θ-methods for delay differential equations
,
IMA Journal of Numerical Analysis,
**18**, pp. 399--418, 1998. - A. Bellen, N. Guglielmi and M. Zennaro:
On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
,
BIT,
**39**, pp. 1--24, 1999. - A. Bellen, N. Guglielmi and A. Ruehli:
Methods for linear systems of circuit delay differential equations of neutral type
,
IEEE Transactions on Circuits and Systems-I: Fundamental theory and applications,
**46**, no. 1, pp. 212--216, 1999. - N. Guglielmi and E. Hairer:
Order stars and stability for delay differential equations
,
Numerische Mathematik,
**83**, no. 3, pp. 371--383, 1999. - N. Guglielmi:
An analytic proof of numerical stability of Gaussian collocation
for delay differential equations
,
Boll. UMI Sez. B.,
**1-B**, pp.95--116, 2000. - N. Guglielmi and E. Hairer:
Geometric proofs of numerical stability for delay equations
,
IMA Journal of Numerical Analysis,
**21**, no. 1, pp. 439--450, 2001. - N. Guglielmi and M. Zennaro:
On the zero-stability of variable stepsize multistep methods:
the spectral radius approach
,
Numerische Mathematik,
**88**, no. 3, pp. 445--458, 2001. - N. Guglielmi: On the qualitative behaviour of numerical methods for delay differential equations of neutral type. A case study: Θ-methods , Recent Trends in Numerical Analysis, edited by L. Brugnano and D. Trigiante.
- N. Guglielmi and M. Zennaro:
On the asymptotic properties of a family of matrices
,
Linear Algebra and its Applications,
**322**, no. 1--3, pp. 169--192, 2001. - A. Bellen, N. Guglielmi and M. Zennaro:
Numerical stability of nonlinear delay differential equations of neutral type
,
Journal of Computational and Applied Mathematics,
**125**, no. 1--2, pp. 251--263, 2001. - N. Guglielmi and E. Hairer:
Implementing Radau IIA methods for stiff delay differential equations
,
Computing,
**67**, no. 1, pp. 1--12, 2001. - N. Guglielmi:
Asymptotic stability barriers for natural Runge--Kutta processes for delay equations
,
SIAM Journal on Numerical Analysis,
**39**, no. 3, pp. 763--783, 2002. - N. Guglielmi and M. Zennaro,
On the limit products of a family of matrices
,
Linear Algebra and its Applications,
**362**, pp. 11--27, 2003. - N. Guglielmi and M. Zennaro:
Stability of one-leg Θ-methods for the variable coefficient pantograph equation
,
IMA Journal on Numerical Analysis,
**23**, pp 421--438, 2003. - N. Guglielmi:
Open issues in devising software for the numerical solution of
implicit delay differential equations
,
Journal of Computational and Applied Mathematics,
**185**, pp. 261-277, 2006. - N. Guglielmi:
On the Newton iteration in the application of collocation methods to implicit delay equations
,
Applied Numerical Mathematics,
**53**, pp. 281--297, 2005. - N. Guglielmi and C. Lubich:
Numerical periodic orbits of neutral delay differential equations
,
Discrete and Continuous Dynamical Systems - Series A (DCDS-A),
**13**, pp. 1057--1067, 2005. - N. Guglielmi:
Short proofs and a counterexample for analytical and numerical stability of delay equations with infinite memory
,
IMA Journal on Numerical Analysis,
**26**, pp. 60--77, 2006. - N. Guglielmi, F. Wirth and M. Zennaro:
Complex polytope extremality results for families of matrices
,
SIAM Journal on Matrix Analysis and Applications,
**27**, pp 721--743, 2005. - G. Bellettini, G. Fusco and N. Guglielmi:
A concept of solution and numerical experiments for forward-backward diffusion equations
,
Discrete and Continuous Dynamical Systems - Series A (DCDS-A),
**16**, pp. 783--842, 2006. - A. Bellen, N. Guglielmi and S. Maset: Numerical methods for delay models in biomathematics , in Integration of Complex Systems in Biomedicine, A. Quarteroni (editor), Springer Verlag {pp 148--185, 2006.
- N. Guglielmi e M. Zennaro:
Balanced complex polytopes and related vector and matrix norms
,
Journal of Convex Analysis,
**14**, pp. 729--766, 2007. - Y. Muroya, E. Ishiwata and N. Guglielmi:
Global stability for nonlinear difference equations with variable coefficients
,
Journal of Mathematical Analysis and its Applications,
**334**, pp. 232--247, 2007. - N. Guglielmi and E. Hairer:
Computing breaking points in implicit delay differential equations
,
Advances in Computational Mathematics,
**29**, pp. 229--247, 2008. - N. Guglielmi and M. Zennaro:
An algorithm for finding extremal polytope norms of matrix families
,
Linear Algebra and its Applications,
**428**, pp. 2265--2282, 2008. - N. Guglielmi and L. Hatvani:
On small oscillations of dynamical systems with time-dependent kinetic and potential energy
,
Discrete and Continuous Dynamical Systems - Series A (DCDS-A),
**20**, pp. 911--926 , 2008. - A. Bellen and N. Guglielmi:
Solving neutral delay differential equations with state-dependent delays
,
Journal of Computational and Applied Mathematics,
**229**, pp. 350--362 , 2009. - A. Bellen, N. Guglielmi, S. Maset and M. Zennaro:
Recent trends in the numerical solution of retarded functional differential equations
,
Acta Numerica
**2009**, pp 1--110, 2009. - N. Guglielmi and M. Zennaro:
Finding extremal complex polytope norms for families of real matrices
,
SIAM Journal on Matrix Analysis and Applications,
**31**, pp. 602--620, 2009. - A. Cicone, N. Guglielmi, S. Serra and M. Zennaro:
Finiteness properties of 2-by-2 sign-matrices via real polytope extremal norms
,
Linear Algebra and its Applications,
**432**, pp. 796--816, 2010. - J. De Luca, N. Guglielmi, T. Humphries and A. Politi:
Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay
,
Journal of Physics A: Mathematical and Theoretical,
**43**, 2010. - N. Guglielmi, C. Manni and D. Vitale:
Convergence analysis of C
^{2}Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas , Linear Algebra and its Applications,**434**, pp. 884--902, 2011. - G. Fusco and N. Guglielmi:
A regularization for discontinuous differential equations with application to state-dependent delay differential equations
,
Journal of Differential Equations,
**250**, pp. 3230--3279, 2011. - N. Guglielmi and C. Lubich:
Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking
,
SIAM Journal on Numerical Analysis,
**49**, pp. 1194--1209, 2011. - N. Guglielmi and M. Overton:
Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix
,
SIAM Journal on Matrix Analysis and Applications,
**32**, pp. 1166--1192, 2011. - N. Guglielmi and M. Zennaro:
On the asymptotic regularity of a family of matrices
,
Linear Algebra and its Applications,
**436**, pp. 2093--2104, 2012. - N. Guglielmi and C. Lubich:
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
,
SIAM Journal on Numerical Analysis,
**50**, pp. 977--981, 2012. - N. Guglielmi and E. Hairer: Numerical approaches for state-dependent neutral delay equations with discontinuities , Mathematics and Computers in Simulation, {(published online, 9 December 2011, available at address http://www.sciencedirect.com/science/article/pii/S0378475411002667).
- N. Guglielmi and E. Hairer:
Asymptotic expansions for regularized state-dependent neutral delay equations
,
SIAM Journal on Mathematical Analysis,
**44**, pp. 2428--2458, 2012. - N. Guglielmi and V.Yu. Protasov,
Exact computation of joint spectral characteristics of linear operators
,
Foundations of Computational Mathematics'',
**13(1)**2013, p.37--97, 2013. - W. Michiels and N. Guglielmi:
An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems
,
SIAM Journal on Scientific Computing,
**34**, pp. 2366--2393, 2012. - P. Buttà, N. Guglielmi, S. Noschese:
Computing the structured pseudospectrum of a Toeplitz matrix and its extremal points
,
SIAM Journal on Matrix Analysis and Applications,
**33**, pp. 1300--1319, 2012. - N. Guglielmi and C. Lubich:
Low-rank dynamics for computing extremal points of real pseudospectra
,
SIAM Journal on Matrix Analysis and Applications,
**34(1)**, pp. 40--66, 2013. - N. Guglielmi: Delay differential equations , Encyclopedia of Applied and Computational Mathematics, delivered January 2012.
- L. Dieci and N. Guglielmi:
Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface
,
Journal of Dynamics and Differential Equations,
**25(1)**, pp. 71--94, 2013. - N. Guglielmi and E. Hairer:
Regularization of neutral delay differential equations with several delays
,
Journal of Dynamics and Differential Equations,
**25(1)**, pp. 173--192, 2013. - N. Guglielmi, M. Gurbuzbalaban and M.L. Overtoon:
Fast Approximation of the H-infinity norm via optimization over spectral value sets
,
SIAM Journal on Matrix Analysis and Applications,
**34**, pp. 709--737, 2013. - R. Jungers, A. Cicone and N. Guglielmi:
Lifted polytope methods for computing the joint spectral radius
,
SIAM Journal on Matrix Analysis and Applications,
**35**, pp. 391--410, 2014. - D. Verhees, R. Van Beeumen, K. Meerbergen, N. Guglielmi and W. Michiels Fast algorithms for computing the distance to instability of nonlinear eigenvalue problems, with application to time-delay systems , International Journal of Dynamics and Control, in press, 2014.
- N. Guglielmi, D. Kressner and C. Lubich:
Computing extremal points of symplectic pseudospectra and solving symplectic matrix nearness problems
,
SIAM Journal on Matrix Analysis and Applications,
**35(4)**, pp. 1407--1428, 2014. - N. Guglielmi, D. Kressner and C. Lubich:
Low-rank differential equations for Hamiltonian matrix nearness problems
,
Numerische Mathematik,
**129(2)**, pp. 279--319, 2015. - P. Buttà, N. Guglielmi, M. Manetta, S. Noschese:
Differential equations for real-structured (and unstructured)
defectivity measures
,
SIAM Journal on Matrix Analysis and Applications,
**36(2)**, pp. 523--548, 2015. - N. Guglielmi and M. Zennaro,
Canonical construction of Barabanov polytope norms and antinorms for sets of matrices
,
SIAM Journal on Matrix Analysis and Applications,
**36(2)**, pp. 634--655, 2015. - N. Guglielmi and M. Manetta:
Approximating real stability radii
,
IMA Journal of Numerical Analysis,
**35**, pp. 1402--1425, 2015. - N. Guglielmi, M. Overton, G.W. Stewart:
An efficient algorithm for computing the Generalized Null Space Decomposition
,
SIAM Journal on Matrix Analysis and Applications,
**36(1)**, pp. 38--54, 2015. - N. Guglielmi, L. Laglia and V.Yu. Protasov, Polytope Lyapunov functions for stable and for stabilizable LSS , Foundations of Computational Mathematics, in press, 2015.
- N. Guglielmi and E. Hairer: Path regularization of linear neutral delay differential equations with several delays , Journal of Computational and Applied Mathematics, in press, 2015.
- N. Guglielmi and E. Hairer: Classification of hidden dynamics in discontinuous dynamical systems , SIAM Journal on Applied Dynamical Systems, in press, 2015.
- N. Guglielmi and M. Manetta: An iterative method for computing robustness of polynomial stability , Journal of Computational and Applied Mathematics, in press, 2015
- N. Guglielmi and V.Yu. Protasov, Invariant polytopes of sets of matrices with application to regularity of wavelets and subdivisions , SIAM Journal on Matrix Analysis and Applications, in press, 2015.

- N. Guglielmi: On the method by Rostami for computing the real stability radius of large and sparse matrices , submitted, 2015
- C. Conti, M. Charina, N. Guglielmi and V.Yu. Protasov: Regularity of non-stationary multivariate subdivision , submitted, 2015