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- W4286983265 abstract "For a general third-order tensor $mathcal{A}inmathbb{R}^{ntimes ntimes n}$ the paper studies two closely related problems, an SVD-like tensor decomposition and an (approximate) tensor diagonalization. We develop a Jacobi-type algorithm that works on $2times2times2$ subtensors and, in each iteration, maximizes the sum of squares of its diagonal entries. We show how the rotation angles are calculated and prove convergence of the algorithm. Different initializations of the algorithm are discussed, as well as the special cases of symmetric and antisymmetric tensors. The algorithm can be generalized to work on higher-order tensors." @default.
- W4286983265 created "2022-07-25" @default.
- W4286983265 creator A5085812898 @default.
- W4286983265 date "2021-09-08" @default.
- W4286983265 modified "2023-10-16" @default.
- W4286983265 title "Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization" @default.
- W4286983265 doi "https://doi.org/10.48550/arxiv.2109.03722" @default.
- W4286983265 hasPublicationYear "2021" @default.
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