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math.NA2026
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…
math.NA2026
Chebyshev Accelerated Subspace Eigensolver for Pseudo-hermitian Hamiltonians
Edoardo Di Napoli, Clément Richefort, Xinzhe Wu
Studying the optoelectronic structure of materials can require the computation of several thousands of the smallest positive eigenpairs of a pseudo-hermitian Hamiltonian. Iterative…
math.NA2026
Estimating the condition number of Chebyshev filtered vectors with application to the ChASE library
Edoardo Di Napoli, Xinzhe Wu
Chebyshev filtered subspace iteration is a well-known algorithm for the solution of (symmetric/Hermitian) algebraic eigenproblems which has been implemented in several application…