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math.NA2026
An Integral-Based Framework for Preconditioning
Gustavo Ramirez-Hidalgo
The computation of the action of a matrix function on a vector, , is a major computational bottleneck for large, sparse matrices, particularly when unfavorable spectral dist…
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.NA2025
Krylov Subspace Recycling For Matrix Functions
Liam Burke, Andreas Frommer, Gustavo Ramirez-Hidalgo +1
We derive an augmented Krylov subspace method with subspace recycling for computing a sequence of matrix function applications on a set of vectors. The matrix is either fixed or ch…