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math.OC2026
Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming
Xin Jiang
Primal-dual first-order methods are widely used for large-scale semidefinite programming (SDP), but their ability to compute highly accurate solutions is not well explained by glob…
math.OC2026
A Relaxation and Rectification (ReCR) Framework for Systems with Linear and Complementary Constraints: Theoretical Foundation, Algorithms and Numerical Experiments
Wissam AlAli, Xin Jiang, Jiming Peng
Systems defined by linear and complementarity constraints (SLCCs) arise frequently in engineering, economics, and other related fields. They also appear in the optimality condition…