4 papers
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…
Factorized low-rank matrix recovery problem, Schatten- quasi-norm, Error bound for critical point, Kurdyka-Åojasiewicz 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…
On Error Bounds for Rank-Constrained Affine Matrix Sets
Ruoning Chen, Defeng Sun, Liping Zhang
Rank-constrained matrix problems appear frequently across science and engineering. The convergence analysis of iterative algorithms developed for these problems often hinges on loc…
Characterizations of the Aubin Property of the Solution Mapping for Nonlinear Semidefinite Programming
Liang Chen, Ruoning Chen, Defeng Sun +1
In this paper, we study the Aubin property of the Karush-Kuhn-Tucker solution mapping for the nonlinear semidefinite programming (NLSDP) problem at a locally optimal solution. In t…