[HTML][HTML] A Fréchet Lie group on distributions

M Ryckebusch, PL Giscard - Journal of Mathematical Analysis and …, 2024 - Elsevier
Solving non-autonomous systems of ordinary differential equations leads to consider a new
product of bivariate distributions called the⋆ product in the literature. This product, distinct …

A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra

S Pozza - Linear and Multilinear Algebra, 2024 - Taylor & Francis
A new expression for solving homogeneous linear ODEs based on a generalization of the
Volterra composition was recently introduced. In this work, we extend such an expression …

[PDF][PDF] Matrix decay phenomenon and its applications

S Pozza - SNA'23 Seminar on Numerical Analysis - ugn.cas.cz
In matrix computation, it is common to divide matrices into dense and sparse categories.
Even though such categories are not precisely defined, we can think of a sparse matrix as …