Nicola Guglielmi

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 62

Top Topics

Differential Equations

Dynamical Systems

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Appl. Math.

SIAM J. Numer. Anal.

Publications

Nicola Guglielmi, Arturo De Marinis, Anton Savostianov, Francesco Tudisco
Contractivity of neural ODEs: an eigenvalue optimization problem. CoRR (2024)
Alessia Andò, Roderick Edwards, Nicola Guglielmi
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations. SIAM J. Appl. Dyn. Syst. 23 (2) (2024)
Anton Savostianov, Francesco Tudisco, Nicola Guglielmi
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex. CoRR (2024)
Nicola Guglielmi, Stefano Sicilia
Stabilization of a matrix via a low rank-adaptive ODE. CoRR (2024)
Emanuele Zangrando, Piero Deidda, Simone Brugiapaglia, Nicola Guglielmi, Francesco Tudisco
Neural Rank Collapse: Weight Decay and Small Within-Class Variability Yield Low-Rank Bias. CoRR (2024)
Nicola Guglielmi, Ernst Hairer
Applying stiff integrators for ODEs and DDEs to problems with distributed delays. CoRR (2024)
Christian Lubich, Nicola Guglielmi
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra. CoRR (2024)
Nicola Guglielmi, Anton Savostianov, Francesco Tudisco
Quantifying the structural stability of simplicial homology. CoRR (2023)
Miryam Gnazzo, Nicola Guglielmi
On the numerical approximation of the distance to singularity for matrix-valued functions. CoRR (2023)
Nicola Guglielmi, Stefano Sicilia
A low rank ODE for spectral clustering stability. CoRR (2023)
Nicola Guglielmi, Anton Savostianov, Francesco Tudisco
Quantifying the Structural Stability of Simplicial Homology. J. Sci. Comput. 97 (1) (2023)
Nicola Guglielmi, Christian Lubich, Stefano Sicilia
Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. SIAM J. Numer. Anal. 61 (4) (2023)
Nicola Guglielmi, Mattia Manucci
Model Order Reduction in Contour Integral Methods for Parametric PDEs. SIAM J. Sci. Comput. 45 (4) (2023)
Nicola Guglielmi, Vladimir Protasov
Computing the spectral gap of a family of matrices. Math. Comput. 93 (345) (2023)
Nicola Guglielmi, Ernst Hairer
Sliding modes of high codimension in piecewise-smooth dynamical systems. Numer. Algorithms 94 (1) (2023)
Miryam Gnazzo, Nicola Guglielmi
Computing the closest singular matrix polynomial. CoRR (2023)
Nicola Guglielmi, Christian Lubich, Stefano Sicilia
Rank-1 matrix differential equations for structured eigenvalue optimization. CoRR (2022)
Nicola Guglielmi, Ernst Hairer
An efficient algorithm for solving piecewise-smooth dynamical systems. Numer. Algorithms 89 (3) (2022)
Nicola Guglielmi, Mattia Manucci
Contour Integral Methods for time treatment in Reduced Basis Methods. CoRR (2022)
Nicola Guglielmi, Daniel Kressner, Carmela Scalone
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. Adv. Comput. Math. 47 (5) (2021)
Nicola Guglielmi, Volker Mehrmann
Computation of the nearest structured matrix triplet with common null space. CoRR (2021)
Nicola Guglielmi, Elisa Iacomini, Alex Viguerie
Delay differential equations for the spatially-resolved simulation of epidemics with specific application to COVID-19. CoRR (2021)
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
Generalized algorithms for the approximate matrix polynomial GCD of reducing data uncertainties with application to MIMO system and control. J. Comput. Appl. Math. 393 (2021)
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization. SIAM J. Matrix Anal. Appl. 42 (4) (2021)
Nicola Guglielmi, María López-Fernández, Mattia Manucci
Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations. J. Sci. Comput. 89 (1) (2021)
Nicola Guglielmi, Carmela Scalone
An efficient method for non-negative low-rank completion. Adv. Comput. Math. 46 (2) (2020)
Nicola Guglielmi, María López-Fernández, Mattia Manucci
Pseudospectral roaming contour integral methods for convection-diffusion equations. CoRR (2020)
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
A passivation algorithm for linear time-invariant systems. CoRR (2020)
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
A gradient system approach for Hankel structured low-rank approximation. CoRR (2020)
Nicola Guglielmi, María López-Fernández, Giancarlo Nino
Numerical inverse Laplace transform for convection-diffusion equations. Math. Comput. 89 (323) (2020)
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
Computing common factors of matrix polynomials with applications in system and control theory. CDC (2019)
Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, Christian Lubich
Constrained Graph Partitioning via Matrix Differential Equations. SIAM J. Matrix Anal. Appl. 40 (1) (2019)
Yacine Chitour, Nicola Guglielmi, Mario Sigalotti, Vladimir Protasov
Switching systems with dwell time: computation of the maximal Lyapunov exponent. CoRR (2019)
Nicola Guglielmi, Carmela Scalone
Computing the closest real normal matrix and normal completion. Adv. Comput. Math. 45 (5) (2019)
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
An ODE-based method for computing the approximate greatest common divisor of polynomials. Numer. Algorithms 81 (2) (2019)
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
Computing Approximate Common Factors of Matrix Polynomials. CoRR (2019)
Ivan Markovsky, Antonio Fazzi, Nicola Guglielmi
Applications of Polynomial Common Factor Computation in Signal Processing. LVA/ICA (2018)
Carmela Scalone, Nicola Guglielmi
A Gradient System for Low Rank Matrix Completion. Axioms 7 (3) (2018)
Nicola Guglielmi, Vladimir Yu. Protasov
On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii. SIAM J. Matrix Anal. Appl. 39 (4) (2018)
Francesco Cesarone, Pierdomenico Pepe, Nicola Guglielmi
Solution by sampled-data control of a consensus problem: an approach by stabilization in the sample-and-hold sense. ACC (2018)
Nicola Guglielmi, Mutti-Ur Rehman, Daniel Kressner
A Novel Iterative Method To Approximate Structured Singular Values. SIAM J. Matrix Anal. Appl. 38 (2) (2017)
Nicola Guglielmi, Christian Lubich, Volker Mehrmann
On the Nearest Singular Matrix Pencil. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
Nicola Guglielmi, Christian Lubich
Matrix Stabilization Using Differential Equations. SIAM J. Numer. Anal. 55 (6) (2017)
Nicola Guglielmi, Ivan Markovsky
An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility. SIAM J. Numer. Anal. 55 (3) (2017)
Maria Charina, Costanza Conti, Nicola Guglielmi, Vladimir Protasov
Regularity of non-stationary subdivision: a matrix approach. Numerische Mathematik 135 (3) (2017)
Nicola Guglielmi, Mert Gürbüzbalaban, Tim Mitchell, Michael L. Overton
Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Luca Dieci, Nicola Guglielmi, Luciano Lopez
Preface. Comput. Math. Appl. 74 (5) (2017)
Nicola Guglielmi, Linda Laglia, Vladimir Protasov
Polytope Lyapunov Functions for Stable and for Stabilizable LSS. Found. Comput. Math. 17 (2) (2017)
Nicola Guglielmi, Manuela Manetta
An iterative method for computing robustness of polynomial stability. J. Comput. Appl. Math. 292 (2016)
Nicola Guglielmi, Vladimir Yu. Protasov
Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions. SIAM J. Matrix Anal. Appl. 37 (1) (2016)
Maria Charina, Costanza Conti, Nicola Guglielmi, Vladimir Protasov
Limits of level and parameter dependent subdivision schemes: A matrix approach. Appl. Math. Comput. 272 (2016)
Nicola Guglielmi, Ernst Hairer
Path-regularization of linear neutral delay differential equations with several delays. J. Comput. Appl. Math. 292 (2016)
Nicola Guglielmi
On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices. SIAM J. Sci. Comput. 38 (3) (2016)
Luca Dieci, Nicola Guglielmi, Luciano Lopez
Preface. J. Comput. Appl. Math. 292 (2016)
Antonio Cicone, Alessandro D'Innocenzo, Nicola Guglielmi, Linda Laglia
A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays. CoRR (2015)
Antonio Cicone, Alessandro D'Innocenzo, Nicola Guglielmi, Linda Laglia
A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays. CDC (2015)
Paolo Buttà, Nicola Guglielmi, Manuela Manetta, Silvia Noschese
Differential Equations for Real-Structured Defectivity Measures. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Nicola Guglielmi, Michael L. Overton, G. W. Stewart
An Efficient Algorithm for Computing the Generalized Null Space Decomposition. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Nicola Guglielmi, Marino Zennaro
Canonical Construction of Polytope Barabanov Norms and Antinorms for Sets of Matrices. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Eleonora Andreotti, Armando Bazzani, Sandro Rambaldi, Nicola Guglielmi, P. Freguglia
Modeling Traffic fluctuations and Congestion on a Road Network. Adv. Complex Syst. 18 (3-4) (2015)
Nicola Guglielmi, Daniel Kressner, Christian Lubich
Low rank differential equations for Hamiltonian matrix nearness problems. Numerische Mathematik 129 (2) (2015)
Nicola Guglielmi, Ernst Hairer
Classification of Hidden Dynamics in Discontinuous Dynamical Systems. SIAM J. Appl. Dyn. Syst. 14 (3) (2015)
Raphaël M. Jungers, Antonio Cicone, Nicola Guglielmi
Lifted Polytope Methods for Computing the Joint Spectral Radius. SIAM J. Matrix Anal. Appl. 35 (2) (2014)
Nicola Guglielmi, Ernst Hairer
Numerical approaches for state-dependent neutral delay equations with discontinuities. Math. Comput. Simul. 95 (2014)
Nicola Guglielmi, Daniel Kressner, Christian Lubich
Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
Wim Michiels, Nicola Guglielmi
Computing the distance to instability for large-scale nonlinear eigenvalue problems. ECC (2013)
Nicola Guglielmi, Vladimir Protasov
Exact Computation of Joint Spectral Characteristics of Linear Operators. Found. Comput. Math. 13 (1) (2013)
Nicola Guglielmi, Mert Gürbüzbalaban, Michael L. Overton
Norm via Optimization over Spectral Value Sets. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Nicola Guglielmi, Linda Laglia
Polytope joint Lyapunov functions for positive LSS. CDC (2013)
Nicola Guglielmi, Christian Lubich
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra. SIAM J. Matrix Anal. Appl. 34 (1) (2013)
Nicola Guglielmi, Ernst Hairer
Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations. SIAM J. Math. Anal. 44 (4) (2012)
Nicola Guglielmi, Christian Lubich
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 50 (2) (2012)
Wim Michiels, Nicola Guglielmi
An Iterative Method for Computing the Pseudospectral Abscissa for a Class of Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 34 (4) (2012)
Paolo Buttà, Nicola Guglielmi, Silvia Noschese
Computing the Structured Pseudospectrum of a Toeplitz Matrix and Its Extreme Points. SIAM J. Matrix Anal. Appl. 33 (4) (2012)
Raphaël M. Jungers, Nicola Guglielmi, Antonio Cicone
Lifted polytope methods for stability analysis of switching systems CoRR (2012)
Nicola Guglielmi, Michael L. Overton
Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix. SIAM J. Matrix Anal. Appl. 32 (4) (2011)
Nicola Guglielmi, Christian Lubich
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. SIAM J. Numer. Anal. 49 (3) (2011)
Nicola Guglielmi, Marino Zennaro
Finding Extremal Complex Polytope Norms for Families of Real Matrices. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
Nicola Guglielmi, Ernst Hairer
Computing breaking points in implicit delay differential equations. Adv. Comput. Math. 29 (3) (2008)
Nicola Guglielmi, Ernst Hairer
Stiff delay equations. Scholarpedia 2 (11) (2007)
Nicola Guglielmi, Fabian R. Wirth, Marino Zennaro
Complex Polytope Extremality Results for Families of Matrices. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Nicola Guglielmi, Marino Zennaro
Polytope norms and related algorithms for the computation of the joint spectral radius. CDC/ECC (2005)
Nicola Guglielmi
Asymptotic Stability Barriers for Natural Runge-Kutta Processes for Delay Equations. SIAM J. Numer. Anal. 39 (3) (2001)
Nicola Guglielmi, Marino Zennaro
On the zero-stability of variable stepsize multistep methods: the spectral radius approach. Numerische Mathematik 88 (3) (2001)
Nicola Guglielmi, Ernst Hairer
Implementing Radau IIA Methods for Stiff Delay Differential Equations. Computing 67 (1) (2001)
Nicola Guglielmi, Ernst Hairer
Order stars and stability for delay differential equations. Numerische Mathematik 83 (3) (1999)
Nicola Guglielmi, Roberto Guerrieri, Giorgio Baccarani
Highly constrained neural networks for industrial quality control. IEEE Trans. Neural Networks 7 (1) (1996)
Nicola Guglielmi, Roberto Guerrieri, Marco Mastretta, Luisa De Vena
Highly-constrained neural networks with application to visual inspection of machined parts. ICASSP (1) (1993)