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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
58/2020

Modified iterations for data-sparse solution of linear systems

Wolfgang Hackbusch and André Uschmajew

Abstract

A modification of standard linear iterative methods for the solution of linear equations is investigated aiming at improved data-sparsity with respect to a rank function. The convergence speed of the modified method is compared to the rank growth of its iterates for certain model cases. The considered general setup is common in the data-sparse treatment of high dimensional problems such as sparse approximation and low rank tensor calculus.

Received:
May 19, 2020
Published:
May 19, 2020

Related publications

inJournal
2021 Journal Open Access
Wolfgang Hackbusch and André Uschmajew

Modified iterations for data-sparse solution of linear systems

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 493-512