37 citations · 59 across the 12 of their papers we have counts for
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math.NA2022
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…
math.NA2022
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…
math.NA2022
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…