Modeling excitable cells with the EMI equations: Spectral analysis and iterative solution strategy

P Benedusi, P Ferrari, ME Rognes… - Journal of Scientific …, 2024 - Springer
In this work, we are interested in solving large linear systems stemming from the extra–
membrane–intra model, which is employed for simulating excitable tissues at a cellular …

A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory

S Hon, J Dong, S Serra-Capizzano - SIAM Journal on Matrix Analysis and …, 2023 - SIAM
In this work, we propose a novel preconditioned Krylov subspace method for solving an
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …

Flipped structured matrix-sequences in image deblurring with reflective and anti-reflective boundary conditions

P Ferrari, I Furci, S Serra-Capizzano - Numerical Algorithms, 2024 - Springer
Motivated by the recent work (Donatelli et al. Electron. Trans. Numer. Anal. 59, 157-178
2023) on a preconditioned MINRES for flipped linear systems in imaging with Dirichlet …

From asymptotic distribution and vague convergence to uniform convergence, with numerical applications

G Barbarino, SE Ekström, C Garoni, D Meadon… - arxiv preprint arxiv …, 2023 - arxiv.org
Let $\{\Lambda_n=\{\lambda_ {1, n},\ldots,\lambda_ {d_n, n}\}\} _n $ be a sequence of finite
multisets of real numbers such that $ d_n\to\infty $ as $ n\to\infty $, and let …

Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning

P Benedusi, P Ferrari, M Causemann… - arxiv preprint arxiv …, 2024 - arxiv.org
In the present study, we consider the Extra-Membrane-Intra model (EMI) for the simulation of
excitable tissues at the cellular level. We provide the (possibly large) system of partial …

Graph approximation and generalized Tikhonov regularization for signal deblurring

D Bianchi, M Donatelli - 2021 21st International Conference on …, 2021 - ieeexplore.ieee.org
Given a compact linear operator K, the (pseudo) inverse K^\dagger is usually substituted by
a family of regularizing operators R_α which depends on K itself. Naturally, in the actual …

Matrix-less spectral approximation for large structured matrices

G Barbarino, M Claesson, SE Ekström, C Garoni… - BIT Numerical …, 2025 - Springer
Sequences of structured matrices of increasing size, such as generalized locally Toeplitz
sequences, arise in many scientific applications and especially in the numerical …

Low-Rank Approaches to Graphon Learning in Networks

X Fan, F Ma, C Leng, W Wu - arxiv preprint arxiv:2501.18785, 2025 - arxiv.org
The graphon is a powerful framework for modeling large-scale networks, but its estimation
remains a significant challenge. In this paper, we propose a novel approach that directly …

Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices

M Bolten, SE Ekström, I Furci… - Linear Algebra and its …, 2022 - Elsevier
A powerful tool for analyzing and approximating the singular values and eigenvalues of
structured matrices is the theory of Generalized Locally Toeplitz (GLT) sequences. By the …

Flipped structured matrix-sequences in image deblurring with general boundary conditions

P Ferrari, I Furci, S Serra-Capizzano - arxiv preprint arxiv:2402.12059, 2024 - arxiv.org
Motivated by a recent work on a preconditioned MINRES for flipped linear systems in
imaging, in this note we extend the scope of that research for including more precise …