3 citations · 4 across the 9 of their papers we have counts for
10 papers
On the stability of basis construction in extended Krylov subspace methods
Kathryn Lund, Marcel Schweitzer
Extended Krylov subspace methods (EKSMs) are a well known approach for approximating the action of a matrix function on a vector , and their block versions are ofte…
Field-of-values analysis of augmented Krylov methods for matrix -function actions
Xiaobo Liu, Marcel Schweitzer
We revisit established Krylov subspace methods for linear combinations of matrix -function actions from the viewpoint of the block triangular formulation of Al-Mohy and Liu [SIA…
Exploiting the the nonzero diagonal pattern in matrix function computations
Majed Hamadi, Nezam Mahdavi-Amiri, Marcel Schweitzer
We consider the task of approximating a matrix function , where is a matrix in which only a relatively small number of (not necessarily consecutive) sub- and superdiagona…
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…
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
Davide Palitta, Marcel Schweitzer, Valeria Simoncini
Among randomized numerical linear algebra strategies, so-called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace meth…
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…
The Fréchet derivative of the tensor t-function
Kathryn Lund, Marcel Schweitzer
The tensor t-function, a formalism that generalizes the well-known concept of matrix functions to third-order tensors, is introduced in [K. Lund, The tensor t-function: a definitio…