3 papers
math.NA2024
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…
math.NA2022
Krylov subspace restarting for matrix Laplace transforms
Andreas Frommer, Karsten Kahl, Marcel Schweitzer +1
A common way to approximate -- the action of a matrix function on a vector -- is to use the Arnoldi approximation. Since a new vector needs to be generated and stored in ev…
math.NA2021
Matrix functions via linear systems built from continued fractions
Andreas Frommer, Karsten Kahl, Manuel Tsolakis
A widely used approach to compute the action of a matrix function on a vector is to use a rational approximation for and compute instead. If …