Sep 25 – 27, 2023
Max Planck Institute for Dynamics of Complex Technical Systems
Europe/Berlin timezone

Krylov Subspace Recycling For Matrix Functions

Sep 25, 2023, 10:30 AM
20m
Main/groundfloor-V0.05/2+3 - Prigogine (Max Planck Institute for Dynamics of Complex Technical Systems)

Main/groundfloor-V0.05/2+3 - Prigogine

Max Planck Institute for Dynamics of Complex Technical Systems

Sandtorstr. 1 39106 Magdeburg
100

Speaker

Liam Burke (Trinity College Dublin)

Description

We discuss a new augmented Krylov subspace method which allows for the efficient evaluation of a sequence of matrix function applications on a set of vectors using Krylov subspace recycling. If selected appropriately, the recycling subspace can be used to accelerate the convergence of each problem in the sequence, leading to an overall reduction in the computational overhead required to evaluate the full sequence of function applications, in comparison to standard Krylov subspace methods. We present results of numerical experiments demonstrating the effectiveness of the method using examples from practical applications such as Quantum Chromodynamics.

Primary author

Liam Burke (Trinity College Dublin)

Co-authors

Prof. Andreas Frommer (University of Wuppertal) Dr Gustavo Ramirez-Hidalgo (Wuppertal University) Prof. Kirk Soodhalter (Trinity College Dublin)

Presentation materials

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