3 papers
math.NA2024
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 \s…
math.NA2024
Randomized sketching of nonlinear eigenvalue problems
Stefan Güttel, Daniel Kressner, Bart Vandereycken
Rational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anders…
math.NA2024
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…