Nicola Guglielmi

Stefano Sicilia

CoRR, 2024

Contractivity of neural ODEs: an eigenvalue optimization problem.

[BibT_eX]

[DOI]

CoRR, 2024

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

[BibT_eX]

[DOI]

CoRR, 2024

Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex.

[BibT_eX]

[DOI]

Anton Savostianov

Francesco Tudisco

CoRR, 2024

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

[BibT_eX]

[DOI]

CoRR, 2024

Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Quantifying the Structural Stability of Simplicial Homology.

[BibT_eX]

[DOI]

Anton Savostianov

Francesco Tudisco

J. Sci. Comput., October, 2023

Sliding modes of high codimension in piecewise-smooth dynamical systems.

[BibT_eX]

[DOI]

Numer. Algorithms, September, 2023

Model Order Reduction in Contour Integral Methods for Parametric PDEs.

[BibT_eX]

[DOI]

Mattia Manucci

SIAM J. Sci. Comput., August, 2023

Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization.

[BibT_eX]

[DOI]

Stefano Sicilia

SIAM J. Numer. Anal., August, 2023

Computing the spectral gap of a family of matrices.

[BibT_eX]

[DOI]

Vladimir Protasov

Math. Comput., August, 2023

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

[BibT_eX]

[DOI]

Miryam Gnazzo

CoRR, 2023

A low rank ODE for spectral clustering stability.

[BibT_eX]

[DOI]

Stefano Sicilia

CoRR, 2023

Computing the closest singular matrix polynomial.

[BibT_eX]

[DOI]

Miryam Gnazzo

CoRR, 2023

2022

An efficient algorithm for solving piecewise-smooth dynamical systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2022

Contour Integral Methods for time treatment in Reduced Basis Methods.

[BibT_eX]

[DOI]

Mattia Manucci

CoRR, 2022

2021

Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2021

Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations.

[BibT_eX]

[DOI]

María López-Fernández

Mattia Manucci

J. Sci. Comput., 2021

Generalized algorithms for the approximate matrix polynomial GCD of reducing data uncertainties with application to MIMO system and control.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

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

[BibT_eX]

[DOI]

Volker Mehrmann

CoRR, 2021

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

[BibT_eX]

[DOI]

Elisa Iacomini

Alex Viguerie

CoRR, 2021

Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2021

2020

Numerical inverse Laplace transform for convection-diffusion equations.

[BibT_eX]

[DOI]

María López-Fernández

Giancarlo Nino

Math. Comput., 2020

A passivation algorithm for linear time-invariant systems.

[BibT_eX]

[DOI]

CoRR, 2020

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

[BibT_eX]

[DOI]

CoRR, 2020

An efficient method for non-negative low-rank completion.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2020

2019

Constrained Graph Partitioning via Matrix Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

An ODE-based method for computing the approximate greatest common divisor of polynomials.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

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

[BibT_eX]

[DOI]

CoRR, 2019

Computing Approximate Common Factors of Matrix Polynomials.

[BibT_eX]

[DOI]

CoRR, 2019

Computing the closest real normal matrix and normal completion.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2019

Computing common factors of matrix polynomials with applications in system and control theory.

[BibT_eX]

[DOI]

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018

On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii.

[BibT_eX]

[DOI]

Vladimir Yu. Protasov

SIAM J. Matrix Anal. Appl., 2018

A Gradient System for Low Rank Matrix Completion.

[BibT_eX]

[DOI]

Axioms, 2018

Applications of Polynomial Common Factor Computation in Signal Processing.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Francesco Cesarone

Pierdomenico Pepe

Proceedings of the 2018 Annual American Control Conference, 2018

2017

An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

Matrix Stabilization Using Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

A Novel Iterative Method To Approximate Structured Singular Values.

[BibT_eX]

[DOI]

Mutti-Ur Rehman

SIAM J. Matrix Anal. Appl., 2017

On the Nearest Singular Matrix Pencil.

[BibT_eX]

[DOI]

Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2017

Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

Regularity of non-stationary subdivision: a matrix approach.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

Polytope Lyapunov Functions for Stable and for Stabilizable LSS.

[BibT_eX]

[DOI]

Linda Laglia

Vladimir Protasov

Found. Comput. Math., 2017

Preface.

[BibT_eX]

[DOI]

Luca Dieci

Luciano Lopez

Comput. Math. Appl., 2017

2016

On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions.

[BibT_eX]

[DOI]

Vladimir Yu. Protasov

SIAM J. Matrix Anal. Appl., 2016

An iterative method for computing robustness of polynomial stability.

[BibT_eX]

[DOI]

Manuela Manetta

J. Comput. Appl. Math., 2016

Path-regularization of linear neutral delay differential equations with several delays.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

Limits of level and parameter dependent subdivision schemes: A matrix approach.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

2015

Canonical Construction of Polytope Barabanov Norms and Antinorms for Sets of Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

An Efficient Algorithm for Computing the Generalized Null Space Decomposition.

[BibT_eX]

[DOI]

Michael L. Overton

G. W. Stewart

SIAM J. Matrix Anal. Appl., 2015

Differential Equations for Real-Structured Defectivity Measures.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

Classification of Hidden Dynamics in Discontinuous Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2015

Low rank differential equations for Hamiltonian matrix nearness problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

Modeling Traffic fluctuations and Congestion on a Road Network.

[BibT_eX]

[DOI]

Adv. Complex Syst., 2015

A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays.

[BibT_eX]

[DOI]

Antonio Cicone

Alessandro D'Innocenzo

Linda Laglia

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014

Lifted Polytope Methods for Computing the Joint Spectral Radius.

[BibT_eX]

[DOI]

Raphaël M. Jungers

Antonio Cicone

SIAM J. Matrix Anal. Appl., 2014

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

Numerical approaches for state-dependent neutral delay equations with discontinuities.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2014

2013

Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

Fast Approximation of the H<sub>INFINITY</sub> Norm via Optimization over Spectral Value Sets.

[BibT_eX]

[DOI]

Mert Gürbüzbalaban

Michael L. Overton

SIAM J. Matrix Anal. Appl., 2013

Exact Computation of Joint Spectral Characteristics of Linear Operators.

[BibT_eX]

[DOI]

Vladimir Protasov

Found. Comput. Math., 2013

Computing the distance to instability for large-scale nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Wim Michiels

Proceedings of the 12th European Control Conference, 2013

Polytope joint Lyapunov functions for positive LSS.

[BibT_eX]

[DOI]

Linda Laglia

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.

[BibT_eX]

[DOI]

Wim Michiels

SIAM J. Sci. Comput., 2012

Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2012

Computing the Structured Pseudospectrum of a Toeplitz Matrix and Its Extreme Points.

[BibT_eX]

[DOI]

Paolo Buttà

Silvia Noschese

SIAM J. Matrix Anal. Appl., 2012

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2012

Lifted polytope methods for stability analysis of switching systems

[BibT_eX]

[DOI]

Raphaël M. Jungers

Antonio Cicone

CoRR, 2012

2011

Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2011

Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix.

[BibT_eX]

[DOI]

Michael L. Overton

SIAM J. Matrix Anal. Appl., 2011

2009

Finding Extremal Complex Polytope Norms for Families of Real Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

2008

Computing breaking points in implicit delay differential equations.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2008

2007

Stiff delay equations.

[BibT_eX]

[DOI]

Scholarpedia, 2007

2005

Complex Polytope Extremality Results for Families of Matrices.

[BibT_eX]

[DOI]

Fabian R. Wirth

SIAM J. Matrix Anal. Appl., 2005

Polytope norms and related algorithms for the computation of the joint spectral radius.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2001

On the zero-stability of variable stepsize multistep methods: the spectral radius approach.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

Implementing Radau IIA Methods for Stiff Delay Differential Equations.

[BibT_eX]

[DOI]

Computing, 2001

1999

Order stars and stability for delay differential equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

1996

Highly constrained neural networks for industrial quality control.

[BibT_eX]

[DOI]