Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CS decomposition and GSVD for tensors based on the T-product   This paper derives the CS decomposition for orthogonal tensors (T-CSD) and
the generalized singular value decomposition for two tensors (T-GSVD) via the
T-product. The structures of the two decompositions are analyzed in detail and
are consistent with those for matrix cases. Then the corresponding algorithms
are proposed respectively. Finally, T-GSVD can be used to give the explicit
expression for the solution of tensor Tikhonov regularization. Numerical
examples demonstrate the effectiveness of T-GSVD in solving image restoration
problems.

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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph