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math.OC2025
Factorization-free Orthogonal Projection onto the Positive Semidefinite Cone with Composite Polynomial Filtering
Shucheng Kang, Haoyu Han, Antoine Groudiev +1
We propose a factorization-free method for orthogonal projection onto the positive semidefinite (PSD) cone, leveraging composite polynomial filtering. Inspired by recent advances i…
math.OC2025
Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity
Shucheng Kang, Xin Jiang, Heng Yang
We investigate the local linear convergence properties of the Alternating Direction Method of Multipliers (ADMM) when applied to Semidefinite Programming (SDP). A longstanding beli…