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math.OC2026
Polynomial Acceleration of Alternating Projections: Chebyshev Acceleration, Convergence Rates, and Retractions
Dengyu Zheng, Shixiang Chen
Alternating projections (AP) near a clean intersection of smooth manifolds can converge slowly when the Friedrichs angle is small. We develop the \emph{Fixed-Point Manifold Acceler…
math.OC2026
From Manifold Identification to Newton Acceleration on Intersections: Sparse Stiefel Optimization
Shixiang Chen, Wen Huang
We study a Newton acceleration for sparse composite optimization on the Stiefel manifold. The main difficulty is geometric: the active manifold identified by the nonsmooth regulari…
math.OC2026
Retractions by Alternating Projections
Shixiang Chen, Yixiao He, Wen Huang
Alternating projections and their variants are classical tools for computing points in intersections of sets. Existing analyses for smooth manifolds mainly focus on local convergen…