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

Author

Listed:
  • Chong-Quan Zhang

    (Department of Mathematics and Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China
    Department of Mathematics, National University of Singapore, Singapore 119076, Singapore)

  • Qing-Wen Wang

    (Department of Mathematics and Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China
    Collaborative Innovation Center for the Marine Artificial Intelligence, 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)

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.

Suggested Citation

  • Chong-Quan Zhang & Qing-Wen Wang & Xiang-Xiang Wang & Zhuo-Heng He, 2024. "Restricted Singular Value Decomposition for a Tensor Triplet under T-Product and Its Applications," Mathematics, MDPI, vol. 12(7), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:982-:d:1363862
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