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

Chong-Quan Zhang; Qing-Wen Wang; Xiang-Xiang Wang; Zhuo-Heng He

doi:10.3390/math12070982

Mathematics (Mar 2024)

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

Chong-Quan Zhang,
Qing-Wen Wang,
Xiang-Xiang Wang,
Zhuo-Heng He

Affiliations

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

DOI: https://doi.org/10.3390/math12070982
Journal volume & issue: Vol. 12, no. 7
p. 982

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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