Naslov
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization

Autori
Begović Kovač, Erna

Izvornik
Calcolo (0008-0624) 60 (2023); 3, 20

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Jacobi-type methods ; convergence ; tensor diagonalization ; tensor decompositions ; SVD

Sažetak
For a general third-order tensor the paper studies two closely related problems, an SVD-like tensor decomposition and an (approximate) tensor diagonalization. We develop a Jacobi-type algorithm that works on 2x2x2 subtensors and, in each iteration, maximizes the sum of squares of its diagonal entries. We show how the rotation angles are calculated and prove convergence of the algorithm. Different initializations of the algorithm are discussed, as well as the special cases of symmetric and antisymmetric tensors. The algorithm can be generalized to work on higher-order tensors.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA