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math.OC2022
Variable Metric Method for Unconstrained Multiobjective Optimization Problems
Jian Chen, Gaoxi Li, Xinmin Yang
In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive…
math.OC2022
Convergence rates analysis of Interior Bregman Gradient Method for Vector Optimization Problems
Jian Chen, Liping Tang, Xinmin Yang
In recent years, by using Bregman distance, the Lipschitz gradient continuity and strong convexity were lifted and replaced by relative smoothness and relative strong convexity. Un…
math.OC2022
A Barzilai-Borwein Descent Method for Multiobjective Optimization Problems
Jian Chen, Liping Tang, Xinmin Yang
The steepest descent method proposed by Fliege et al. motivates the research on descent methods for multiobjective optimization, which has received increasing attention in recent y…