English

Kernel-independent adaptive construction of $\mathcal{H}^2$-matrix approximations

Numerical Analysis 2020-06-03 v1 Numerical Analysis

Abstract

A method for the kernel-independent construction of H2\mathcal{H}^2-matrix approximations to non-local operators is proposed. Special attention is paid to the adaptive construction of nested bases. As a side result, new error estimates for adaptive cross approximation~(ACA) are presented which have implications on the pivoting strategy of ACA.

Cite

@article{arxiv.2006.01556,
  title  = {Kernel-independent adaptive construction of $\mathcal{H}^2$-matrix approximations},
  author = {M. Bauer and M. Bebendorf and B. Feist},
  journal= {arXiv preprint arXiv:2006.01556},
  year   = {2020}
}
R2 v1 2026-06-23T15:59:25.891Z