3 papers
math.NA2023
GMRES with randomized sketching and deflated restarting
Liam Burke, Stefan Güttel, Kirk M. Soodhalter
We present a new Krylov subspace recycling method for solving a linear system of equations, or a sequence of slowly changing linear systems. Our approach is to reduce the computati…
math.NA2023
Krylov Subspace Recycling With Randomized Sketching For Matrix Functions
Liam Burke, Stefan Güttel
A Krylov subspace recycling method for the efficient evaluation of a sequence of matrix functions acting on a set of vectors is developed. The method improves over the recycling me…
math.NA2022
Unprojected recycled block Krylov subspace methods for shifted systems
Liam Burke
The use of block Krylov subspace methods for computing the solution to a sequence of shifted linear systems using subspace recycling was first proposed in [Soodhalter, SISC 2016],…