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Challenges in computing matrix functions
Massimiliano Fasi, Stéphane Gaudreault, Kathryn Lund +1
This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynami…
Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root
Andreas Frommer, Gustavo Ramirez-Hidalgo, Marcel Schweitzer +1
While preconditioning is a long-standing concept to accelerate iterative methods for linear systems, generalizations to matrix functions are still in their infancy. We go a further…
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices
Andreas Frommer, Michele Rinelli, Marcel Schweitzer
We consider the problem of estimating the trace of a matrix function . In certain situations, in particular if cannot be well approximated by a low-rank matrix, combin…
Structured level-2 condition numbers of matrix functions
Bahar Arslan, Samuel D. Relton, Marcel Schweitzer
Matrix functions play an increasingly important role in many areas of scientific computing and engineering disciplines. In such real-world applications, algorithms working in float…
Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds
Marcel Schweitzer
When analyzing complex networks, an important task is the identification of those nodes which play a leading role for the overall communicability of the network. In the context of…