Naslov
Trace maximization algorithm for the approximate tensor diagonalization

Autori
Begović Kovač, Erna ; Perković, Ana

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Linear and multilinear algebra (2022)

Status rada
Online first

Ključne riječi
Jacobi-type methods ; convergence ; tensor diagonalization ; tensor trace

Sažetak
In this paper we develop a Jacobi-type algorithm for the approximate diagonalization of tensors of order d≥3 via tensor trace maximization. For a general tensor this is an alternating least squares algorithm and the rotation matrices are chosen in each mode one-by-one to maximize the tensor trace. On the other hand, for symmetric tensors we discuss a structure-preserving variant of this algorithm where in each iteration the same rotation is applied in all modes. We show that both versions of the algorithm converge to the stationary points of the corresponding objective functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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