@Article{NMTMA-14-692,
author = {He , Zhuo-HengNg , Michael K. and Zeng , Chao},
title = {Generalized Singular Value Decompositions for Tensors and Their Applications},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2021},
volume = {14},
number = {3},
pages = {692--713},
abstract = {<p style="text-align: justify;">In this paper, we consider the generalized singular value decompositions
for two tensors via the T-product. We investigate and discuss in detail the structures of the quotient singular value decomposition (T-QSVD) and product singular
value decomposition (T-PSVD) for two tensors. The algorithms are presented with
numerical examples illustrating the results. For applications, we consider color image watermarking processing with T-QSVD and T-PSVD. There are two advantages
to T-QSVD and T-PSVD approaches on color watermark processing: two color watermarks can be processed simultaneously and only one key needs to be saved.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0132},
url = {http://global-sci.org/intro/article_detail/nmtma/19194.html}
}