Pregled bibliografske jedinice broj: 881807
Structure-preserving low multilinear rank approximation of antisymmetric tensors
Structure-preserving low multilinear rank approximation of antisymmetric tensors // SIAM journal on matrix analysis and applications, 38 (2017), 3; 967-983 doi:10.1137/16M106618X (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 881807 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Structure-preserving low multilinear rank approximation of antisymmetric tensors
Autori
Begović Kovač, Erna ; Kressner, Daniel
Izvornik
SIAM journal on matrix analysis and applications (0895-4798) 38
(2017), 3;
967-983
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Tensor ; antisymmetric ; low rank ; singular value decomposition ; Jacobi rotation
Sažetak
This paper is concerned with low multilinear rank approximations to antisymmetric tensors, that is, multivariate arrays for which the entries change sign when permuting pairs of indices. We show which ranks can be attained by an antisymmetric tensor and discuss the adaption of existing approximation algorithms to preserve antisymmetry, most notably a Jacobi algorithm. Particular attention is paid to the important special case when choosing the rank equal to the order of the tensor. It is shown that this case can be addressed with an unstructured rank-$1$ approximation. This allows for the straightforward application of the higher-order power method, for which we discuss effective initialization strategies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-3670 - Matične faktorizacije i blok dijagonalizacijski algoritmi (MFBDA) (Hari, Vjeran, HRZZ - 2014-09) ( CroRIS)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
