Abstract: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 structurepreserving variant of this algorithm where in each iteration the same rotation is applied in all modes. We show that both versions of the algorithm c… Show more
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