26 citations · 43 across the 6 of their papers we have counts for
7 papers
The infinite Lanczos method for symmetric nonlinear eigenvalue problems
Giampaolo Mele
A new iterative method for solving large scale symmetric nonlinear eigenvalue problems is presented. We firstly derive an infinite dimensional symmetric linearization of the nonlin…
NEP-PACK: A Julia package for nonlinear eigenproblems - v0.2
Elias Jarlebring, Max Bennedich, Giampaolo Mele +2
We present NEP-PACK a novel open-source library for the solution of nonlinear eigenvalue problems (NEPs). The package provides a framework to represent NEPs, as well as efficient i…
Krylov methods for low-rank commuting generalized Sylvester equations
Elias Jarlebring, Giampaolo Mele, Davide Palitta +1
We consider generalizations of the Sylvester matrix equation, consisting of the sum of a Sylvester operator and a linear operator with a particular structure. More precisely, t…
Disguised and new Quasi-Newton methods for nonlinear eigenvalue problems
Elias Jarlebring, Antti Koskela, Giampaolo Mele
In this paper we take a quasi-Newton approach to nonlinear eigenvalue problems (NEPs) of the type , where is a holomorphic…
Sylvester-based preconditioning for the waveguide eigenvalue problem
Emil Ringh, Giampaolo Mele, Johan Karlsson +1
We consider a nonlinear eigenvalue problem (NEP) arising from absorbing boundary conditions in the study of a partial differential equation (PDE) describing a waveguide. We propose…
Restarting for the Tensor Infinite Arnoldi method
Giampaolo Mele, Elias Jarlebring
An efficient and robust restart strategy is important for any Krylov-based method for eigenvalue problems. The tensor infinite Arnoldi method (TIAR) is a Krylov-based method for so…
The waveguide eigenvalue problem and the tensor infinite Arnoldi method
Elias Jarlebring, Giampaolo Mele, Olof Runborg
We present a new computational approach for a class of large-scale nonlinear eigenvalue problems (NEPs) that are nonlinear in the eigenvalue. The contribution of this paper is two-…