Topics in the computation of matrix functions : Fréchet derivatives, low-rank updates, decay bounds and limited-memory algorithms / Marcel Schweitzer. Wuppertal, 2025
Content
- Acknowledgments
- Introduction
- Notation
- Functions of matrices
- Completely monotonic functions and related classes
- Krylov subspace methods
- Restarted and sketched Krylov methods for matrix functions
- Fréchet derivatives and low-rank updates of matrix functions
- Fréchet derivatives of matrix functions
- Updating matrix functions subject to low-rank modifications
- Further comments on the connection between the two topics of this chapter
- Decay bounds and probing methods
- Contributions to each publication by the author