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08/15/2023
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices
We consider the problem of estimating the trace of a matrix function f(A...
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04/04/2023
Operator splitting for port-Hamiltonian systems
The port-Hamiltonian approach presents an energy-based modeling of dynam...
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12/29/2022
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
For several classes of mathematical models that yield linear systems, th...
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11/28/2022
Deflated Multigrid Multilevel Monte Carlo
In lattice QCD, the trace of the inverse of the discretized Dirac operat...
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09/28/2022
Krylov Subspace Recycling For Matrix Functions
We derive an augmented Krylov subspace method with subspace recycling fo...
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09/08/2022
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations
We extend results known for the randomized Gauss-Seidel and the Gauss-So...
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05/27/2022
Krylov subspace restarting for matrix Laplace transforms
A common way to approximate F(A)b – the action of a matrix function on a...
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05/18/2022
Coarsest-level improvements in multigrid for lattice QCD on large-scale computers
Numerical simulations of quantum chromodynamics (QCD) on a lattice requi...
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09/08/2021
Matrix functions via linear systems built from continued fractions
A widely used approach to compute the action f(A)v of a matrix function ...
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08/25/2021
A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix
The trace of a matrix function f(A), most notably of the matrix inverse,...
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09/04/2020
Asynchronous Richardson iterations
We consider asynchronous versions of the first and second order Richards...
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09/03/2020
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions
The computation of matrix functions f(A), or related quantities like the...
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12/23/2019