Matrix stretching

Abstract: 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.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Matrix stretching ; volume:22 ; number:1 ; year:2024 ; extent:14 ; Open mathematics ; 22, Heft 1 (2024) (gesamt 14)

Contributors, Places and Time

• Creator: Futorny, Vyacheslav ; Neklyudov, Mikhail ; Zhao, Kaiming

Further information

• DOI: 10.1515/math-2024-0031
• URN: urn:nbn:de:101:1-2408051543577.000182250440
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:52 AM CEST