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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
82/2018

Low-rank approximability of nearest neighbor interaction systems

Patrick Gelß, Sebastian Matera, Reinhold Schneider and André Uschmajew

Abstract

We derive tensor train rank estimates for solutions of operator equations involving nearest neighbor interaction using polynomial approximation of the solution operator.

Received:
Sep 27, 2018
Published:
Dec 21, 2018