Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 8 February 2024 / Approved: 8 February 2024 / Online: 9 February 2024 (10:03:47 CET)

A peer-reviewed article of this Preprint also exists.

Zhang, C.-Q.; Wang, Q.-W.; Wang, X.-X.; He, Z.-H. Restricted Singular Value Decomposition for a Tensor Triplet under T-Product and Its Applications. Mathematics 2024, 12, 982. Zhang, C.-Q.; Wang, Q.-W.; Wang, X.-X.; He, Z.-H. Restricted Singular Value Decomposition for a Tensor Triplet under T-Product and Its Applications. Mathematics 2024, 12, 982.

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

Subject

Physical Sciences, Mathematical Physics

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