Highly-constrained neural networks with application to visual inspection of machined parts. - Nicola Guglielmi; Roberto Guerrieri; Marco Mastretta; Luisa De Vena (ICASSP (1), 1993)

Highly constrained neural networks for industrial quality control. - Nicola Guglielmi; Roberto Guerrieri; Giorgio Baccarani (IEEE Trans. Neural Networks, 1996)

Order stars and stability for delay differential equations. - Nicola Guglielmi; Ernst Hairer (Numerische Mathematik, 1999)

Implementing Radau IIA Methods for Stiff Delay Differential Equations. - Nicola Guglielmi; Ernst Hairer (Computing, 2001)

On the zero-stability of variable stepsize multistep methods: the spectral radius approach. - Nicola Guglielmi; Marino Zennaro (Numerische Mathematik, 2001)

Asymptotic Stability Barriers for Natural Runge-Kutta Processes for Delay Equations. - Nicola Guglielmi (SIAM J. Numer. Anal., 2001)

Polytope norms and related algorithms for the computation of the joint spectral radius. - Nicola Guglielmi; Marino Zennaro (CDC/ECC, 2005)

Complex Polytope Extremality Results for Families of Matrices. - Nicola Guglielmi; Fabian R. Wirth; Marino Zennaro (SIAM J. Matrix Anal. Appl., 2005)

Stiff delay equations. - Nicola Guglielmi; Ernst Hairer (Scholarpedia, 2007)

Computing breaking points in implicit delay differential equations. - Nicola Guglielmi; Ernst Hairer (Adv. Comput. Math., 2008)

Finding Extremal Complex Polytope Norms for Families of Real Matrices. - Nicola Guglielmi; Marino Zennaro (SIAM J. Matrix Anal. Appl., 2009)

Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. - Nicola Guglielmi; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2011)

Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2011)

Lifted polytope methods for stability analysis of switching systems - Raphaël M. Jungers; Nicola Guglielmi; Antonio Cicone (CoRR, 2012)

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations. - Nicola Guglielmi; Ernst Hairer (SIAM J. Math. Anal., 2012)

Computing the Structured Pseudospectrum of a Toeplitz Matrix and Its Extreme Points. - Paolo Buttà; Nicola Guglielmi; Silvia Noschese (SIAM J. Matrix Anal. Appl., 2012)

Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2012)

An Iterative Method for Computing the Pseudospectral Abscissa for a Class of Nonlinear Eigenvalue Problems. - Wim Michiels; Nicola Guglielmi (SIAM J. Sci. Comput., 2012)

Polytope joint Lyapunov functions for positive LSS. - Nicola Guglielmi; Linda Laglia (CDC, 2013)

Computing the distance to instability for large-scale nonlinear eigenvalue problems. - Wim Michiels; Nicola Guglielmi (ECC, 2013)

Exact Computation of Joint Spectral Characteristics of Linear Operators. - Nicola Guglielmi; Vladimir Protasov (Found. Comput. Math., 2013)

Fast Approximation of the HINFINITY Norm via Optimization over Spectral Value Sets. - Nicola Guglielmi; Mert Gürbüzbalaban; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2013)

Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. - Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2013)

Numerical approaches for state-dependent neutral delay equations with discontinuities. - Nicola Guglielmi; Ernst Hairer (Math. Comput. Simul., 2014)

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. - Nicola Guglielmi; Daniel Kressner; Christian Lubich (SIAM J. Matrix Anal. Appl., 2014)

Lifted Polytope Methods for Computing the Joint Spectral Radius. - Raphaël M. Jungers; Antonio Cicone; Nicola Guglielmi (SIAM J. Matrix Anal. Appl., 2014)

A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays. - Antonio Cicone; Alessandro D'Innocenzo; Nicola Guglielmi; Linda Laglia (CDC, 2015)

Modeling Traffic fluctuations and Congestion on a Road Network. - Eleonora Andreotti; Armando Bazzani; Sandro Rambaldi; Nicola Guglielmi; P. Freguglia (Adv. Complex Syst., 2015)

Low rank differential equations for Hamiltonian matrix nearness problems. - Nicola Guglielmi; Daniel Kressner; Christian Lubich (Numerische Mathematik, 2015)

Classification of Hidden Dynamics in Discontinuous Dynamical Systems. - Nicola Guglielmi; Ernst Hairer (SIAM J. Appl. Dyn. Syst., 2015)

Differential Equations for Real-Structured Defectivity Measures. - Paolo Buttà; Nicola Guglielmi; Manuela Manetta; Silvia Noschese (SIAM J. Matrix Anal. Appl., 2015)

An Efficient Algorithm for Computing the Generalized Null Space Decomposition. - Nicola Guglielmi; Michael L. Overton; G. W. Stewart (SIAM J. Matrix Anal. Appl., 2015)

Canonical Construction of Polytope Barabanov Norms and Antinorms for Sets of Matrices. - Nicola Guglielmi; Marino Zennaro (SIAM J. Matrix Anal. Appl., 2015)

Limits of level and parameter dependent subdivision schemes: A matrix approach. - Maria Charina; Costanza Conti; Nicola Guglielmi; Vladimir Protasov (Appl. Math. Comput., 2016)

Path-regularization of linear neutral delay differential equations with several delays. - Nicola Guglielmi; Ernst Hairer (J. Comput. Appl. Math., 2016)

An iterative method for computing robustness of polynomial stability. - Nicola Guglielmi; Manuela Manetta (J. Comput. Appl. Math., 2016)

Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions. - Nicola Guglielmi; Vladimir Yu. Protasov (SIAM J. Matrix Anal. Appl., 2016)

On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices. - Nicola Guglielmi (SIAM J. Sci. Comput., 2016)

Preface. - Luca Dieci; Nicola Guglielmi; Luciano Lopez (Comput. Math. Appl., 2017)

Polytope Lyapunov Functions for Stable and for Stabilizable LSS. - Nicola Guglielmi; Linda Laglia; Vladimir Protasov (Found. Comput. Math., 2017)

Regularity of non-stationary subdivision: a matrix approach. - Maria Charina; Costanza Conti; Nicola Guglielmi; Vladimir Protasov (Numerische Mathematik, 2017)

Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations. - Nicola Guglielmi; Mert Gürbüzbalaban; Tim Mitchell; Michael L. Overton (SIAM J. Matrix Anal. Appl., 2017)

On the Nearest Singular Matrix Pencil. - Nicola Guglielmi; Christian Lubich; Volker Mehrmann (SIAM J. Matrix Anal. Appl., 2017)

A Novel Iterative Method To Approximate Structured Singular Values. - Nicola Guglielmi; Mutti-Ur Rehman; Daniel Kressner (SIAM J. Matrix Anal. Appl., 2017)

Matrix Stabilization Using Differential Equations. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2017)

An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility. - Nicola Guglielmi; Ivan Markovsky (SIAM J. Numer. Anal., 2017)

Solution by sampled-data control of a consensus problem: an approach by stabilization in the sample-and-hold sense. - Francesco Cesarone; Pierdomenico Pepe; Nicola Guglielmi (ACC, 2018)

Applications of Polynomial Common Factor Computation in Signal Processing. - Ivan Markovsky; Antonio Fazzi; Nicola Guglielmi (LVA/ICA, 2018)

A Gradient System for Low Rank Matrix Completion. - Carmela Scalone; Nicola Guglielmi (Axioms, 2018)

On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii. - Nicola Guglielmi; Vladimir Yu. Protasov (SIAM J. Matrix Anal. Appl., 2018)

Computing common factors of matrix polynomials with applications in system and control theory. - Antonio Fazzi; Nicola Guglielmi; Ivan Markovsky (CDC, 2019)

Computing the closest real normal matrix and normal completion. - Nicola Guglielmi; Carmela Scalone (Adv. Comput. Math., 2019)

Computing Approximate Common Factors of Matrix Polynomials. - Antonio Fazzi; Nicola Guglielmi; Ivan Markovsky (CoRR, 2019)

Switching systems with dwell time: computation of the maximal Lyapunov exponent. - Yacine Chitour; Nicola Guglielmi; Mario Sigalotti; Vladimir Protasov (CoRR, 2019)

An ODE-based method for computing the approximate greatest common divisor of polynomials. - Antonio Fazzi; Nicola Guglielmi; Ivan Markovsky (Numer. Algorithms, 2019)

Constrained Graph Partitioning via Matrix Differential Equations. - Eleonora Andreotti; Dominik Edelmann; Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2019)

An efficient method for non-negative low-rank completion. - Nicola Guglielmi; Carmela Scalone (Adv. Comput. Math., 2020)

A gradient system approach for Hankel structured low-rank approximation. - Antonio Fazzi; Nicola Guglielmi; Ivan Markovsky (CoRR, 2020)

A passivation algorithm for linear time-invariant systems. - Antonio Fazzi; Nicola Guglielmi; Christian Lubich (CoRR, 2020)

Numerical inverse Laplace transform for convection-diffusion equations. - Nicola Guglielmi; María López-Fernández; Giancarlo Nino (Math. Comput., 2020)

Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. - Nicola Guglielmi; Daniel Kressner; Carmela Scalone (Adv. Comput. Math., 2021)

Delay differential equations for the spatially-resolved simulation of epidemics with specific application to COVID-19. - Nicola Guglielmi; Elisa Iacomini; Alex Viguerie (CoRR, 2021)

Computation of the nearest structured matrix triplet with common null space. - Nicola Guglielmi; Volker Mehrmann (CoRR, 2021)

Generalized algorithms for the approximate matrix polynomial GCD of reducing data uncertainties with application to MIMO system and control. - Antonio Fazzi; Nicola Guglielmi; Ivan Markovsky (J. Comput. Appl. Math., 2021)

Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations. - Nicola Guglielmi; María López-Fernández; Mattia Manucci (J. Sci. Comput., 2021)

Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. - Antonio Fazzi; Nicola Guglielmi; Christian Lubich (SIAM J. Matrix Anal. Appl., 2021)

Contour Integral Methods for time treatment in Reduced Basis Methods. - Nicola Guglielmi; Mattia Manucci (CoRR, 2022)

An efficient algorithm for solving piecewise-smooth dynamical systems. - Nicola Guglielmi; Ernst Hairer (Numer. Algorithms, 2022)

Computing the closest singular matrix polynomial. - Miryam Gnazzo; Nicola Guglielmi (CoRR, 2023)

A low rank ODE for spectral clustering stability. - Nicola Guglielmi; Stefano Sicilia (CoRR, 2023)

Computing the spectral gap of a family of matrices. - Nicola Guglielmi; Vladimir Protasov (Math. Comput., 2023)

Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. - Nicola Guglielmi; Christian Lubich; Stefano Sicilia (SIAM J. Numer. Anal., 2023)

Model Order Reduction in Contour Integral Methods for Parametric PDEs. - Nicola Guglielmi; Mattia Manucci (SIAM J. Sci. Comput., 2023)

Sliding modes of high codimension in piecewise-smooth dynamical systems. - Nicola Guglielmi; Ernst Hairer (Numer. Algorithms, 2023)

Quantifying the Structural Stability of Simplicial Homology. - Nicola Guglielmi; Anton Savostianov; Francesco Tudisco (J. Sci. Comput., 2023)

Applying stiff integrators for ODEs and DDEs to problems with distributed delays. - Nicola Guglielmi; Ernst Hairer (CoRR, 2024)

Neural Rank Collapse: Weight Decay and Small Within-Class Variability Yield Low-Rank Bias. - Emanuele Zangrando; Piero Deidda; Simone Brugiapaglia; Nicola Guglielmi; Francesco Tudisco (CoRR, 2024)

Contractivity of neural ODEs: an eigenvalue optimization problem. - Nicola Guglielmi; Arturo De Marinis; Anton Savostianov; Francesco Tudisco (CoRR, 2024)

Stabilization of a matrix via a low rank-adaptive ODE. - Nicola Guglielmi; Stefano Sicilia (CoRR, 2024)

Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix. - Mattia Manucci; Emre Mengi; Nicola Guglielmi (CoRR, 2024)

Gripenberg-like algorithm for the lower spectral radius. - Nicola Guglielmi; Francesco Paolo Maiale (CoRR, 2024)

Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations. - Alessia Andò; Roderick Edwards; Nicola Guglielmi (SIAM J. Appl. Dyn. Syst., 2024)

Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex. - Anton Savostianov; Francesco Tudisco; Nicola Guglielmi (SIAM J. Matrix Anal. Appl., 2024)

On the Numerical Approximation of the Distance to Singularity for Matrix-Valued Functions. - Miryam Gnazzo; Nicola Guglielmi (SIAM J. Matrix Anal. Appl., 2025)

Transient Dynamics Under Structured Perturbations: Bridging Unstructured and Structured Pseudospectra. - Nicola Guglielmi; Christian Lubich (SIAM J. Numer. Anal., 2025)

Applying Stiff Integrators for Ordinary Differential Equations and Delay Differential Equations to Problems with Distributed Delays. - Nicola Guglielmi; Ernst Hairer (SIAM J. Sci. Comput., 2025)

Stability of neural ODEs by a control over the expansivity of their flows. - Arturo De Marinis; Nicola Guglielmi; Stefano Sicilia; Francesco Tudisco (CoRR, 2025)

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations. - Michele Benzi; Nicola Guglielmi (CoRR, 2025)

Efficient Sparsification of Simplicial Complexes via Local Densities of States. - Anton Savostianov; Michael T. Schaub; Nicola Guglielmi; Francesco Tudisco (CoRR, 2025)

Matrix nearness problems and eigenvalue optimization. - Nicola Guglielmi; Christian Lubich (CoRR, 2025)

Approximation properties of neural ODEs. - Arturo De Marinis; Davide Murari; Elena Celledoni; Nicola Guglielmi; Brynjulf Owren; Francesco Tudisco (CoRR, 2025)

A fast and memoryless numerical method for solving fractional differential equations. - Nicola Guglielmi; Ernst Hairer (CoRR, 2025)