3 papers
math.OC2026
Convergence analysis of the Riemannian proximal gradient method with inexact oracle
Chao Huang, Xiyuan Xie, Anna Qi +2
We extend the notion of an inexact first-order oracle from the Euclidean setting to Riemannian optimization, and conduct a convergence analysis for the Riemannian proximal gradient…
math.OC2026
Local Convergence Analysis of ADMM for Nonconvex Composite Optimization
Xiyuan Xie, Lihua Yang, Qia li
In this paper, we study the local convergence of the standard ADMM scheme for a class of nonconvex composite optimization problems motivated by applications in signal processing an…
math.OC2025
A proximal algorithm incorporating difference of convex functions optimization for solving a class of single-ratio fractional programming
Anna Qi, Jianfeng Huang, Lihua Yang +1
In this paper, we consider a class of single-ratio fractional minimization problems, where both the numerator and denominator of the objective are convex functions satisfying posit…