26 citations · 29 across the 12 of their papers we have counts for
12 papers
Some results on Krylov solvability in Banach space and connections to spectral theory
Noe Angelo Caruso
This article contains the first steps in a general analysis of the problem of Krylov solvability of the inverse linear problem in a Banach space. In contrast to the well-studied Hi…
Open problems and perspectives on solving Friedrichs systems by Krylov approximation
Noe Angelo Caruso, Alessandro Michelangeli
We set up, at the abstract Hilbert space setting, the general question on when an inverse linear problem induced by an operator of Friedrichs type admits solutions belonging to (th…
Structural properties of Krylov subspaces, Krylov solvability, and applications to unbounded self-adjoint operators
Noè Angelo Caruso
This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important…
On a comparison between absolute and relative self-adjoint extension schemes
Noè Angelo Caruso, Alessandro Michelangeli, Andrea Ottolini
The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the 'absolute' von Neumann extensio…
A note on the Krylov solvability of compact normal operators on Hilbert space
Noe Angelo Caruso
We analyse the Krylov solvability of inverse linear problems on Hilbert space where the underlying operator is compact and normal. Krylov solvability is an important…
Inverse linear problems on Hilbert space and their Krylov solvability
Noe Angelo Caruso, Alessandro Michelangeli
This monograph is centred at the intersection of three mathematical topics, that are theoretical in nature, yet with motivations and relevance deep rooted in applications: the line…
Krylov solvability under perturbations of abstract inverse linear problems
Noe Angelo Caruso, Alessandro Michelangeli
When a solution to an abstract inverse linear problem on Hilbert space is approximable by finite linear combinations of vectors from the cyclic subspace associated with the datum a…
Krylov solvability of unbounded inverse linear problems
Noe Caruso, Alessandro Michelangeli
The abstract issue of 'Krylov solvability' is extensively discussed for the inverse problem where is a (possibly unbounded) linear operator on an infinite-dimensional…
Convergence of the conjugate gradient method with unbounded operators
Noe Caruso, Alessandro Michelangeli
In the framework of inverse linear problems on infinite-dimensional Hilbert space, we prove the convergence of the conjugate gradient iterates to an exact solution to the inverse p…
Spontaneous morphing of equibiaxially pre-stretched elastic bilayers: the role of sample geometry
Noè Caruso, Aleksandar Cvetković, Alessandro Lucantonio +2
An elastic bilayer, consisting of an equibiaxially pre-stretched sheet bonded to a stress-free one, spontaneously morphs into curved shapes in the absence of external loads or cons…
On Krylov solutions to infinite-dimensional inverse linear problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
We discuss, in the context of inverse linear problems in Hilbert space, the notion of the associated infinite-dimensional Krylov subspace and we produce necessary and sufficient co…
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
In the framework of abstract linear inverse problems in infinitedimensional Hilbert space we discuss generic convergence behaviours of approximate solutions determined by means of…