97 citations · 208 across the 25 of their papers we have counts for
5 papers · 1 filter
Revisiting recursive methods for Dyson and Keldysh in NEGF: Part I
Edoardo Di Napoli, Alessandro Pecchia, Gustavo Ramirez-Hidalgo
The simulation of quantum transport in nanodevices requires the solution of the Dyson and Keldysh equations, a task dominated by the inversion of massive, block-tridiagonal matrice…
Rational spectral filters with optimal convergence rate
Konrad Kollnig, Paolo Bientinesi, Edoardo Di Napoli
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of large and sparse eigenvalue problems. Building upon recent performance improveme…
Efficient estimation of eigenvalue counts in an interval
Edoardo Di Napoli, Eric Polizzi, Yousef Saad
Estimating the number of eigenvalues located in a given interval of a large sparse Hermitian matrix is an important problem in certain applications and it is a prerequisite of eige…
Dissecting the FEAST algorithm for generalized eigenproblems
Lukas Krämer, Edoardo Di Napoli, Martin Galgon +2
We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-k…
An Example of Symmetry Exploitation for Energy-related Eigencomputations
Matthias Petschow, Edoardo Di Napoli, Paolo Bientinesi
One of the most used approaches in simulating materials is the tight-binding approximation. When using this method in a material simulation, it is necessary to compute the eigenval…