3 papers
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
A Regularized Newton-Type Method for Manifold--Affine Intersection Problems under Intrinsic Transversality
Dengyu Zheng, Shixiang Chen
We propose Regularized Newton-SLRA (RN-SLRA), a regularized Newton-type method for local manifold--affine intersection problems motivated by structured low-rank approximation. Clas…
math.OC2025
Descent-Net: Learning Descent Directions for Constrained Optimization
Zisheng Zhou, Dengyu Zheng, Zirui Chen +1
Deep learning approaches, known for their ability to model complex relationships and fast execution, are increasingly being applied to solve large optimization problems. However, e…