4 papers · 1 filter
Field-of-values analysis of augmented Krylov methods for matrix -function actions
Xiaobo Liu, Marcel Schweitzer
We revisit established Krylov subspace methods for linear combinations of matrix -function actions from the viewpoint of the block triangular formulation of Al-Mohy and Liu [SI…
Exploiting the the nonzero diagonal pattern in matrix function computations
Majed Hamadi, Nezam Mahdavi-Amiri, Marcel Schweitzer
We consider the task of approximating a matrix function , where is a matrix in which only a relatively small number of (not necessarily consecutive) sub- and superdiagona…
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
Davide Palitta, Marcel Schweitzer, Valeria Simoncini
Among randomized numerical linear algebra strategies, so-called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace meth…
Challenges in computing matrix functions
Massimiliano Fasi, Stéphane Gaudreault, Kathryn Lund +1
This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynami…