Matrix stretching
| Autor: | Futorny Vyacheslav, Neklyudov Mikhail, Zhao Kaiming |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Open Mathematics, Vol 22, Iss 1, Pp 212-244 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2391-5455 2024-0031 |
| DOI: | 10.1515/math-2024-0031 |
| Popis: | We consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization. Stretching maps conserve algebraic properties of the tensor product, but are not necessarily injective. Dropping the injectivity condition allows us to construct examples of stretching maps with additional symmetry properties. Furthermore, this leads to the averaging of the tensor product and possibly could be used to compress the data. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|