3 papers
math.NA2026
Determinant-Based Error Bounds for CUR Matrix Approximation: Oversampling and Volume Sampling
Frank de Hoog, Markus Hegland
We derive error bounds for CUR matrix approximation using determinant-based methods that relate local projection errors to global approximation quality. For general matrices, we es…
math.OC2025
Probability Density Estimation via Optimal Control
Markus Hegland, C. Yalçın Kaya
We employ optimal control theory to study the problem of estimating the probability density function from a data set originating from an unknown probability distribution. The origi…
math.NA2025
Generalized Gearhart-Koshy acceleration is a Krylov subspace method
Markus Hegland, Janosch Rieger
The Kaczmarz method is a row-action method for solving consistent non-square linear systems, and Gearhart-Koshy acceleration is a line-search that minimizes the Euclidean norm of t…