54 citations · 208 across the 37 of their papers we have counts for
46 papers
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…
Speeding up Krylov subspace methods for computing f(A)b via randomization
Alice Cortinovis, Daniel Kressner, Yuji Nakatsukasa
This work is concerned with the computation of the action of a matrix function f(A), such as the matrix exponential or the matrix square root, on a vector b. For a general matrix A…
Hermite interpolation with retractions on manifolds
Axel Séguin, Daniel Kressner
Interpolation of data on non-Euclidean spaces is an active research area fostered by its numerous applications. This work considers the Hermite interpolation problem: finding a suf…