Modified iterations for data-sparse solution of linear systems
- 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.
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| Author: | Wolfgang Hackbusch, André UschmajewGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1031153 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/103115 |
| ISSN: | 2305-221XOPAC |
| ISSN: | 2305-2228OPAC |
| Parent Title (English): | Vietnam Journal of Mathematics |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2021 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/03/23 |
| Tag: | General Mathematics |
| Volume: | 49 |
| First Page: | 493 |
| Last Page: | 512 |
| DOI: | https://doi.org/10.1007/s10013-021-00504-9 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Mathematical Data Science | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
