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

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