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arXiv · 1702.03750

Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization

Jianze Li·Konstantin Usevich·Pierre Comon
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Abstract

In this paper, we consider a family of Jacobi-type algorithms for simultaneous orthogonal diagonalization problem of symmetric tensors. For the Jacobi-based algorithm of [SIAM J. Matrix Anal. Appl., 2(34):651--672, 2013], we prove its global convergence for simultaneous orthogonal diagonalization of symmetric matrices and 3rd-order tensors. We also propose a new Jacobi-based algorithm in the general setting and prove its global convergence for sufficiently smooth functions.

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Jianze Li, Konstantin Usevich, Pierre Comon. 2017-02-13. Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization. https://arxiv.org/abs/1702.03750

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