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Article Dans Une Revue Linear Algebra and its Applications Année : 2019

On approximate diagonalization of third order symmetric tensors by orthogonal transformations

Résumé

In this paper, we study the approximate orthogonal diagonalization problem of third order symmetric tensors. We define several classes of approximately diagonal tensors, including those corresponding to the stationary points of this problem. We study the relationships between these classes, and other well-known objects, such as tensor Z-eigenvalue and Z-eigenvector. We also prove results on convergence of the cyclic Jacobi (or Jacobi CoM) algorithm.
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hal-02092389 , version 1 (22-10-2021)

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Paternité - Pas d'utilisation commerciale

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Jianze Li, Konstantin Usevich, Pierre Comon. On approximate diagonalization of third order symmetric tensors by orthogonal transformations. Linear Algebra and its Applications, 2019, 576, pp.324-351. ⟨10.1016/j.laa.2019.03.006⟩. ⟨hal-02092389⟩
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