Naslov
Structure-preserving low multilinear rank approximation of antisymmetric tensors

Autori
Begović Kovač, Erna ; Kressner, Daniel

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
6th Croatian Mathematical Congress / - , 2016

Skup
6th Croatian Mathematical Congress

Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
tensor; low rank; Jacobi rotation

Sažetak
We are concerned with finding low multilinear approximation B to a given antisymmetric tensor A, such that B is again antisymmetric. We show which multilinear ranks can be attained by an antisymmetric tensor. We discuss the adaption of existing approximation algorithms, most notably a Jacobi-type algorithm. Particular attention is paid to the important special case when choosing the rank equal to the order of the tensor. We show that a best unstructured rank-1 approximation can always be turned into a best antisymmetric multilinear rank-d approximation. This allows the straightforward application of the higher-order power method, for which we consider effective initialization strategies.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA