54 citations · 208 across the 37 of their papers we have counts for
4 papers · 2 filters
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils
Daniel Kressner, Bor Plestenjak
The numerical solution of the generalized eigenvalue problem for a singular matrix pencil is challenging due to the discontinuity of its eigenvalues. Classically, such problems are…
On the approximation of vector-valued functions by volume sampling
Daniel Kressner, Tingting Ni, André Uschmajew
Given a Hilbert space and a finite measure space , the approximation of a vector-valued function by a -dimensional subspace $\mathcal U \sub…
A mixed precision LOBPCG algorithm
Daniel Kressner, Yuxin Ma, Meiyue Shao
The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of…
Randomized low-rank approximation of parameter-dependent matrices
Daniel Kressner, Hei Yin Lam
This work considers the low-rank approximation of a matrix depending on a parameter in a compact set . Application areas that give rise to such p…