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math.OC2023
A linearly convergent method for solving high-order proximal operator
Jingyu Gao, Xiurui Geng
Recently, various high-order methods have been developed to solve the convex optimization problem. The auxiliary problem of these methods shares the general form that is the same a…
math.OC2023
high-order proximal point algorithm for the monotone variational inequality problem and its application
Jingyu Gao, Xiurui Geng
The proximal point algorithm (PPA) has been developed to solve the monotone variational inequality problem. It provides a theoretical foundation for some methods, such as the augme…
math.SP2023
Robust Eigenvectors of Regular Simplex Tensors: Conjecture Proof
Lei Wang, Xiurui Geng, Lei Zhang
The concept of tensor eigenpairs has received more researches in past decades. Recent works have paid attentions to a special class of symmetric tensors termed regular simplex tens…