54 citations · 208 across the 37 of their papers we have counts for
7 papers · 1 filter
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…
Functional Tucker approximation using Chebyshev interpolation
Sergey Dolgov, Daniel Kressner, Christoph Strössner
This work is concerned with approximating a trivariate function defined on a tensor-product domain via function evaluations. Combining tensorized Chebyshev interpolation with a Tuc…
On randomized trace estimates for indefinite matrices with an application to determinants
Alice Cortinovis, Daniel Kressner
Randomized trace estimation is a popular and well studied technique that approximates the trace of a large-scale matrix by computing the average of for many samples of…
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…