Matrix stretching

Futorny, Vyacheslav1; Neklyudov, Mikhail2; Zhao, Kaiming3

2024-08-03

10.1515/math-2024-0031

OPEN MATHEMATICS   影响因子和分区

2391-5455

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.

matrix reshaping of tensor tensor product

SCI

英语

第一 ; 通讯

NSF of China[1231101349] ; CNPq["402449/2021-5","302884/2021-1"] ; NNSF[11871190] ; NSERC[311907-2015]

Mathematics

Mathematics

WOS:001283097800001

DE GRUYTER POLAND SP Z O O

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen, Peoples R China
2.Univ Fed Amazonas, Inst Ciencias Exatas, Dept Matemat, BR-69077000 Manaus, Brazil
3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

Futorny, Vyacheslav,Neklyudov, Mikhail,Zhao, Kaiming. Matrix stretching[J]. OPEN MATHEMATICS,2024,22(1).

Futorny, Vyacheslav,Neklyudov, Mikhail,&Zhao, Kaiming.(2024).Matrix stretching.OPEN MATHEMATICS,22(1).

Futorny, Vyacheslav,et al."Matrix stretching".OPEN MATHEMATICS 22.1(2024).