177 citations · 189 across the 18 of their papers we have counts for
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math.NA2023★ 1 cited
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.NA2023
A sketch-and-select Arnoldi process
Stefan Güttel, Igor Simunec
A sketch-and-select Arnoldi process to generate a well-conditioned basis of a Krylov space at low cost is proposed. At each iteration the procedure utilizes randomized sketching to…