1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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],…
Krylov Subspace Recycling For Matrix Functions
Liam Burke, Andreas Frommer, Gustavo Ramirez-Hidalgo +1
We derive an augmented Krylov subspace method with subspace recycling for computing a sequence of matrix function applications on a set of vectors. The matrix is either fixed or ch…
Augmented unprojected Krylov subspace methods
Liam Burke, Kirk M. Soodhalter
Augmented Krylov subspace methods aid in accelerating the convergence of a standard Krylov subspace method by including additional vectors in the search space. A residual projectio…