On approximate diagonalization of third order symmetric tensors by orthogonal transformations

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02092389
Contributor : Pierre Comon <>
Submitted on : Monday, April 8, 2019 - 10:11:40 AM
Last modification on : Monday, May 27, 2019 - 11:28:09 AM

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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, Elsevier, 2019, 576, pp.324-351. ⟨10.1016/j.laa.2019.03.006⟩. ⟨hal-02092389⟩

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