4 papers
Block diagonalization of block circulant quaternion matrices and the fast calculation for T-product of quaternion tensors
Meng-Meng Zheng, Guyan Ni
With the great success of the T-product based real tensor methods in the color image and gray video processing, the establishment of T-product based quaternion tensor methods in th…
An existence result for weakly homogeneous variational inequalities
Meng-Meng Zheng, Zheng-Hai Huang
In this paper, what we concern about is the weakly homogeneous variational inequality over a finite dimensional real Hilbert space. We achieve an existence result {under} copositiv…
Unique solvability of weakly homogeneous generalized variational inequalities
Xueli Bai, Zheng-Hai Huang, Mengmeng Zheng
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvabilit…
T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming
Meng-Meng Zheng, Zheng-Hai Huang, Yong Wang
The T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce the first-order and second-order T-derivatives for the multi-ve…