123 citations · 451 across the 36 of their papers we have counts for
6 papers · 1 filter
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian
Malak Diab, Andreas Frommer, Karsten Kahl
For several classes of mathematical models that yield linear systems, the splitting of the matrix into its Hermitian and skew Hermitian parts is naturally related to properties of…
Deflated Multigrid Multilevel Monte Carlo
Andreas Frommer, Gustavo Ramirez-Hidalgo
In lattice QCD, the trace of the inverse of the discretized Dirac operator appears in the disconnected fermion loop contribution to an observable. As simulation methods get more an…
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations
Andreas Frommer, Daniel B. Szyld
We extend results known for the randomized Gauss-Seidel and the Gauss-Southwell methods for the case of a Hermitian and positive definite matrix to certain classes of non-Hermitian…
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…
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…
Coarsest-level improvements in multigrid for lattice QCD on large-scale computers
Jesus Espinoza-Valverde, Andreas Frommer, Gustavo Ramirez-Hidalgo +1
Numerical simulations of quantum chromodynamics (QCD) on a lattice require the frequent solution of linear systems of equations with large, sparse and typically ill-conditioned mat…