37 citations · 59 across the 12 of their papers we have counts for
4 papers · 1 filter
Randomized sketching for Krylov approximations of large-scale matrix functions
Stefan Güttel, Marcel Schweitzer
The computation of f(A)b, the action of a matrix function on a vector, is a task arising in many areas of scientific computing. In many applications, the matrix A is sparse but so…
Closing the Performance Gap with Modern C++
Thomas Heller, Hartmut Kaiser, Patrick Diehl +2
On the way to Exascale, programmers face the increasing challenge of having to support multiple hardware architectures from the same code base. At the same time, portability of cod…
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…
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number
Marcel Schweitzer
We propose an integral representation for the higher-order Fréchet derivative of analytic matrix functions which unifies known results for the first-order Fréchet derivative…