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 [SIA…
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…
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…
Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root
Andreas Frommer, Gustavo Ramirez-Hidalgo, Marcel Schweitzer +1
While preconditioning is a long-standing concept to accelerate iterative methods for linear systems, generalizations to matrix functions are still in their infancy. We go a further…