Restricted Singular Value Decomposition for a Tensor Triplet under T-Product and Its Applications

Chong-Quan Zhang, Qing-Wen Wang (), Xiang-Xiang Wang and Zhuo-Heng He ()
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Chong-Quan Zhang: Department of Mathematics and Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China
Qing-Wen Wang: Department of Mathematics and Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China
Xiang-Xiang Wang: Department of Mathematics and Statistics, University of Nevada, Reno, NV 89557, USA
Zhuo-Heng He: Department of Mathematics and Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China

Mathematics, 2024, vol. 12, issue 7, 1-14

Abstract: We investigate and discuss in detail the structure of the restricted singular value decomposition for a tensor triplet under t-product (T-RSVD). The algorithm is provided with a numerical example illustrating the main result. For applications, we consider color image watermarking processing with T-RSVD.

Keywords: multilinear algebra; restricted singular value decomposition; tensor SVD (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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