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math.OC2026
Convergence Analysis of the Restarted Moving-Anchored Extra-Gradient Method in the Absence of Local Lipschitz Continuity
Defeng Sun, Liping Zhang, Wei Zhao
In this paper, we introduce the moving-anchored extra-gradient (MAEG) method for solving monotone inclusion problems involving the sum of a continuous monotone operator and a maxim…
math.NA2026
Low-Rank Tensor Completion using Tensor Train Decomposition via Riemannian Optimization on the Quotient Geometry
Zhenlong Hu, Zhongming Chen, Defeng Sun +1
Owing to the effectiveness of Tensor Train (TT) decomposition in managing high-order tensors, low-rank tensor completion within the TT-format has emerged as a prominent research fo…
math.OC2026
Factorized low-rank matrix recovery problem, Schatten- quasi-norm, Error bound for critical point, Kurdyka-Łojasiewicz property, Inexact proximal alternating linearized minimization
Yongjun Chen, Defeng Sun, Liping Zhang
The Schatten- quasi-norm is a widely used nonconvex rank surrogate and matrix factorization is an effective approach to reduce computational cost. In this paper, we consider the…