4 citations · 4 across the 3 of their papers we have counts for
8 papers
Low-rank updates of matrix functions II: Rational Krylov methods
Bernhard Beckermann, Alice Cortinovis, Daniel Kressner +1
This work develops novel rational Krylov methods for updating a large-scale matrix function f(A) when A is subject to low-rank modifications. It extends our previous work in this c…
A bivariate extension of the Crouzeix-Palencia result with an application to Fréchet derivatives of matrix functions
Michel Crouzeix, Daniel Kressner
A result by Crouzeix and Palencia states that the spectral norm of a matrix function is bounded by times the maximum of on , the numerical range o…
Norm and trace estimation with random rank-one vectors
Zvonimir Bujanović, Daniel Kressner
A few matrix-vector multiplications with random vectors are often sufficient to obtain reasonably good estimates for the norm of a general matrix or the trace of a symmetric positi…
Compress-and-restart block Krylov subspace methods for Sylvester matrix equations
Daniel Kressner, Kathryn Lund, Stefano Massei +1
Block Krylov subspace methods (KSMs) comprise building blocks in many state-of-the-art solvers for large-scale matrix equations as they arise, e.g., from the discretization of part…
hm-toolbox: Matlab software for HODLR and HSS matrices
Stefano Massei, Leonardo Robol, Daniel Kressner
Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While e…
Low-rank updates and divide-and-conquer methods for quadratic matrix equations
Daniel Kressner, Patrick Kürschner, Stefano Massei
In this work, we consider two types of large-scale quadratic matrix equations: Continuous-time algebraic Riccati equations, which play a central role in optimal and robust control,…