2 papers
math.FA2025
A Matrix Generalization of the Hardy-Littlewood-Pólya Rearrangement Inequality and Its Applications
Man-Chung Yue
By analyzing an optimization problem over orthogonal matrices, we prove a generalization of the Hardy-Littlewood-Pólya rearrangement inequality to positive definite matrices. The…
math.OC2025
Randomized Submanifold Subgradient Method for Optimization over Stiefel Manifolds
Andy Yat-Ming Cheung, Jinxin Wang, Man-Chung Yue +1
Optimization over the Stiefel manifold is a fundamental computational problem in many scientific and engineering applications. Despite considerable research effort, high-dimensiona…