2 citations · 2 across the 6 of their papers we have counts for
6 papers
Stabilization of a matrix via a low rank-adaptive ODE
Nicola Guglielmi, Stefano Sicilia
Let be a square matrix with a given structure (e.g. real matrix, sparsity pattern, Toeplitz structure, etc.) and assume that it is unstable, i.e. at least one of its eigenvalue…
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex
Anton Savostianov, Francesco Tudisco, Nicola Guglielmi
Techniques based on -th order Hodge Laplacian operators are widely used to describe the topology as well as the governing dynamics of high-order systems modeled as simplic…
Applying stiff integrators for ODEs and DDEs to problems with distributed delays
Nicola Guglielmi, Ernst Hairer
There exist excellent codes for an efficient numerical treatment of stiff and differential-algebraic problems. Let us mention {\sc Radau5} which is based on the -stage Radau IIA…
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra
Christian Lubich, Nicola Guglielmi
The structured -stability radius is introduced as a quantity to assess the robustness of transient bounds of solutions to linear differential equations under structure…
A low rank ODE for spectral clustering stability
Nicola Guglielmi, Stefano Sicilia
Spectral clustering is a well-known technique which identifies clusters in an undirected graph with weight matrix by exploiting its graph Laplacian…
Polytope Lyapunov functions for stable and for stabilizable LSS
Nicola Guglielmi, Linda Laglia, Vladimir Protasov
We present a new approach for constructing polytope Lyapunov functions for continuous-time linear switching systems (LSS). This allows us to decide the stability of LSS and to comp…