Pregled bibliografske jedinice broj: 833175
Structure-preserving low multilinear rank approximation of antisymmetric tensors
Structure-preserving low multilinear rank approximation of antisymmetric tensors // 16th GAMM Workshop Applied and Numerical Linear Algebra
Hamburg, Njemačka, 2016. str. 6-6 (predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 833175 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
16th GAMM Workshop Applied and Numerical Linear Algebra
/ - , 2016, 6-6
Skup
16th GAMM Workshop Applied and Numerical Linear Algebra
Mjesto i datum
Hamburg, Njemačka, 15.09.2016. - 16.09.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
tensor; low rank; Jacobi rotation
Sažetak
We are concerned with low multilinear rank approximations of 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. This is a joint work with Daniel Kressner (EPF Lausanne).
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)
