Nicola Guglielmi

Orcid: 0000-0003-3795-5225

According to our database1, Nicola Guglielmi authored at least 85 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex.
SIAM J. Matrix Anal. Appl., 2024

Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations.
SIAM J. Appl. Dyn. Syst., 2024

Gripenberg-like algorithm for the lower spectral radius.
CoRR, 2024

Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix.
CoRR, 2024

Stabilization of a matrix via a low rank-adaptive ODE.
CoRR, 2024

Contractivity of neural ODEs: an eigenvalue optimization problem.
CoRR, 2024

Neural Rank Collapse: Weight Decay and Small Within-Class Variability Yield Low-Rank Bias.
CoRR, 2024

Applying stiff integrators for ODEs and DDEs to problems with distributed delays.
CoRR, 2024

Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra.
CoRR, 2024

2023
Quantifying the Structural Stability of Simplicial Homology.
J. Sci. Comput., October, 2023

Sliding modes of high codimension in piecewise-smooth dynamical systems.
Numer. Algorithms, September, 2023

Model Order Reduction in Contour Integral Methods for Parametric PDEs.
SIAM J. Sci. Comput., August, 2023

Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization.
SIAM J. Numer. Anal., August, 2023

Computing the spectral gap of a family of matrices.
Math. Comput., August, 2023

On the numerical approximation of the distance to singularity for matrix-valued functions.
CoRR, 2023

A low rank ODE for spectral clustering stability.
CoRR, 2023

Computing the closest singular matrix polynomial.
CoRR, 2023

2022
An efficient algorithm for solving piecewise-smooth dynamical systems.
Numer. Algorithms, 2022

Contour Integral Methods for time treatment in Reduced Basis Methods.
CoRR, 2022

2021
Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization.
SIAM J. Matrix Anal. Appl., 2021

Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations.
J. Sci. Comput., 2021

Generalized algorithms for the approximate matrix polynomial GCD of reducing data uncertainties with application to MIMO system and control.
J. Comput. Appl. Math., 2021

Computation of the nearest structured matrix triplet with common null space.
CoRR, 2021

Delay differential equations for the spatially-resolved simulation of epidemics with specific application to COVID-19.
CoRR, 2021

Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators.
Adv. Comput. Math., 2021

2020
Numerical inverse Laplace transform for convection-diffusion equations.
Math. Comput., 2020

A passivation algorithm for linear time-invariant systems.
CoRR, 2020

A gradient system approach for Hankel structured low-rank approximation.
CoRR, 2020

An efficient method for non-negative low-rank completion.
Adv. Comput. Math., 2020

2019
Constrained Graph Partitioning via Matrix Differential Equations.
SIAM J. Matrix Anal. Appl., 2019

An ODE-based method for computing the approximate greatest common divisor of polynomials.
Numer. Algorithms, 2019

Switching systems with dwell time: computation of the maximal Lyapunov exponent.
CoRR, 2019

Computing Approximate Common Factors of Matrix Polynomials.
CoRR, 2019

Computing the closest real normal matrix and normal completion.
Adv. Comput. Math., 2019

Computing common factors of matrix polynomials with applications in system and control theory.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018
On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii.
SIAM J. Matrix Anal. Appl., 2018

A Gradient System for Low Rank Matrix Completion.
Axioms, 2018

Applications of Polynomial Common Factor Computation in Signal Processing.
Proceedings of the Latent Variable Analysis and Signal Separation, 2018

Solution by sampled-data control of a consensus problem: an approach by stabilization in the sample-and-hold sense.
Proceedings of the 2018 Annual American Control Conference, 2018

2017
An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility.
SIAM J. Numer. Anal., 2017

Matrix Stabilization Using Differential Equations.
SIAM J. Numer. Anal., 2017

A Novel Iterative Method To Approximate Structured Singular Values.
SIAM J. Matrix Anal. Appl., 2017

On the Nearest Singular Matrix Pencil.
SIAM J. Matrix Anal. Appl., 2017

Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations.
SIAM J. Matrix Anal. Appl., 2017

Regularity of non-stationary subdivision: a matrix approach.
Numerische Mathematik, 2017

Polytope Lyapunov Functions for Stable and for Stabilizable LSS.
Found. Comput. Math., 2017

Preface.
Comput. Math. Appl., 2017

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

Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions.
SIAM J. Matrix Anal. Appl., 2016

An iterative method for computing robustness of polynomial stability.
J. Comput. Appl. Math., 2016

Path-regularization of linear neutral delay differential equations with several delays.
J. Comput. Appl. Math., 2016

Limits of level and parameter dependent subdivision schemes: A matrix approach.
Appl. Math. Comput., 2016

2015
Canonical Construction of Polytope Barabanov Norms and Antinorms for Sets of Matrices.
SIAM J. Matrix Anal. Appl., 2015

An Efficient Algorithm for Computing the Generalized Null Space Decomposition.
SIAM J. Matrix Anal. Appl., 2015

Differential Equations for Real-Structured Defectivity Measures.
SIAM J. Matrix Anal. Appl., 2015

Classification of Hidden Dynamics in Discontinuous Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2015

Low rank differential equations for Hamiltonian matrix nearness problems.
Numerische Mathematik, 2015

Modeling Traffic fluctuations and Congestion on a Road Network.
Adv. Complex Syst., 2015

A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014
Lifted Polytope Methods for Computing the Joint Spectral Radius.
SIAM J. Matrix Anal. Appl., 2014

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems.
SIAM J. Matrix Anal. Appl., 2014

Numerical approaches for state-dependent neutral delay equations with discontinuities.
Math. Comput. Simul., 2014

2013
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra.
SIAM J. Matrix Anal. Appl., 2013

Fast Approximation of the H<sub>INFINITY</sub> Norm via Optimization over Spectral Value Sets.
SIAM J. Matrix Anal. Appl., 2013

Exact Computation of Joint Spectral Characteristics of Linear Operators.
Found. Comput. Math., 2013

Computing the distance to instability for large-scale nonlinear eigenvalue problems.
Proceedings of the 12th European Control Conference, 2013

Polytope joint Lyapunov functions for positive LSS.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
An Iterative Method for Computing the Pseudospectral Abscissa for a Class of Nonlinear Eigenvalue Problems.
SIAM J. Sci. Comput., 2012

Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.
SIAM J. Numer. Anal., 2012

Computing the Structured Pseudospectrum of a Toeplitz Matrix and Its Extreme Points.
SIAM J. Matrix Anal. Appl., 2012

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations.
SIAM J. Math. Anal., 2012

Lifted polytope methods for stability analysis of switching systems
CoRR, 2012

2011
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.
SIAM J. Numer. Anal., 2011

Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix.
SIAM J. Matrix Anal. Appl., 2011

2009
Finding Extremal Complex Polytope Norms for Families of Real Matrices.
SIAM J. Matrix Anal. Appl., 2009

2008
Computing breaking points in implicit delay differential equations.
Adv. Comput. Math., 2008

2007
Stiff delay equations.
Scholarpedia, 2007

2005
Complex Polytope Extremality Results for Families of Matrices.
SIAM J. Matrix Anal. Appl., 2005

Polytope norms and related algorithms for the computation of the joint spectral radius.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

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

On the zero-stability of variable stepsize multistep methods: the spectral radius approach.
Numerische Mathematik, 2001

Implementing Radau IIA Methods for Stiff Delay Differential Equations.
Computing, 2001

1999
Order stars and stability for delay differential equations.
Numerische Mathematik, 1999

1996
Highly constrained neural networks for industrial quality control.
IEEE Trans. Neural Networks, 1996

1993
Highly-constrained neural networks with application to visual inspection of machined parts.
Proceedings of the IEEE International Conference on Acoustics, 1993


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