6 citations · 10 across the 9 of their papers we have counts for
5 papers · 1 filter
Incremental tensor regularized least squares with multiple right-hand sides
Zhengbang Cao, Pengpeng Xie
Solving linear discrete ill-posed problems for third order tensor equations based on a tensor t-product has attracted much attention. But when the data tensor is produced continuou…
A note on perturbation analysis for T-product based tensor singular values
Yating Zhang, Xiaoxia Guo, Pengpeng Xie
In this note, we present perturbation analysis for the T-product based tensor singular values defined by Lu et al. First, the Cauchy's interlacing-type theorem for tensor singular…
Perturbation analysis for t-product based tensor inverse, Moore-Penrose inverse and tensor system
Zhengbang Cao, Pengpeng Xie
This paper establishes some perturbation analysis for the tensor inverse, the tensor Moore-Penrose inverse and the tensor system based on the t-product. In the settings of structur…
On some tensor inequalities based on the t-product
Zhengbang Cao, Pengpeng Xie
In this work, we investigate the tensor inequalities in the tensor t-product formalism. The inequalities involving tensor power are proved to hold similarly as standard matrix scen…
CS decomposition and GSVD for tensors based on the T-product
Yating Zhang, Xiaoxia Guo, Pengpeng Xie +1
This paper derives the CS decomposition for orthogonal tensors (T-CSD) and the generalized singular value decomposition for two tensors (T-GSVD) via the T-product. The structures o…