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math.OC2020
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…
math.OC2017★ 1 cited
A Theoretical Perspective of Solving Phaseless Compressed Sensing via Its Nonconvex Relaxation
Guowei You, Zheng-Hai Huang, Yong Wang
As a natural extension of compressive sensing and the requirement of some practical problems, Phaseless Compressed Sensing (PCS) has been introduced and studied recently. Many theo…
math.OC2017★ 2 cited
Introduction to Tensor Variational Inequalities
Yong Wang, Zheng-Hai Huang, Liqun Qi
In this paper, we introduce a class of variational inequalities, where the involved function is the sum of an arbitrary given vector and a homogeneous polynomial defined by a tenso…