English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

By a tensor we mean an element of a tensor product of vector spaces over afield. Up to a choice of bases in factors of tensor products, every tensor maybe coordinatized, that is, represented as an array consisting of numbers. Thisnote is concerned with properties of the~tensor rank that is a naturalgeneralization of the matrix rank. The topological group structure ofinvertible matrices is involved in this study. The multilinear matrixmultiplication is discussed from a viewpoint of transformation groups. We treata low-rank tensor approximation in finite-dimensional tensor products. It isshown that the problem on determining a best rank-$n$ approximation for atensor of size $n\times n \times 2$ has no a solution.To this end, we make useof an~approximation by matrices with simple spectra.

A low-rank approximation of tensors and the topological group structure of invertible matrices