L. Aceto

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20232026

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math.NA2025

Scaling-and-squaring method for computing the inverses of matrix $φ$ -functions

Lidia Aceto, Luca Gemignani

This paper aims to develop efficient numerical methods for computing the inverse of matrix $φ$ -functions, $ψ_{ℓ} (A) := (φ_{ℓ} (A))^{- 1}$ , for $ℓ = 1, 2, \dots,$ when $A$ is a lar…

math.NA2024

Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems

Lidia Aceto, Luca Gemignani

This paper deals with efficient numerical methods for computing the action of the generating function of Bernoulli polynomials, say $q (τ, w)$ , on a typically large sparse matrix. Th…

math.NA2023

A charge-preserving method for solving graph neural diffusion networks

Lidia Aceto, Pietro Antonio Grassi

The aim of this paper is to give a systematic mathematical interpretation of the diffusion problem on which Graph Neural Networks (GNNs) models are based. The starting point of our…

Scaling-and-squaring method for computing the inverses of matrix φ-functions

Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems

A charge-preserving method for solving graph neural diffusion networks

Scaling-and-squaring method for computing the inverses of matrix $φ$ -functions