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Convergence analysis of inexact descent algorithm for multiobjective optimizations on Riemannian manifolds without curvature constraints
Xiangmei Wang, Jinhua Wang, Chong Li
We study the convergence issue for inexact descent algorithm (employing general step sizes) for multiobjective optimizations on general Riemannian manifolds (without curvature cons…
Convergence Analysis of Gradient Algorithms on Riemannian Manifolds Without Curvature Constraints and Application to Riemannian Mass
Chong Li, Xiangmei Wang, Jinhua Wang +1
We study the convergence issue for the gradient algorithm (employing general step sizes) for optimization problems on general Riemannian manifolds (without curvature constraints).…
Equilibrium problems on Riemannian manifolds with applications
Chong Li, Xiangmei Wang, Genaro LÓpez +1
We study the equilibrium problem on general Riemannian manifolds. The results on existence of solutions and on the convex structure of the solution set are established. Our approac…
Linear convergence of inexact descent method and inexact proximal gradient algorithms for lower-order regularization problems
Yaohua Hu, Chong Li, Kaiwen Meng +1
The regularization problem with has been widely studied for finding sparse solutions of linear inverse problems and gained successful applications in various mat…