A Subgradient Method for Multiobjective Optimization on Riemannian Manifolds

被引：0
|
作者：
G. C. Bento
J. X. Cruz Neto
机构：
[1] Universidade Federal de Goiás,
[2] Universidade Federal Piauí,undefined
来源：
Journal of Optimization Theory and Applications | 2013年 / 159卷
关键词：
Pareto optimality; Multiobjective optimization; Subgradient method; Quasi-Féjer convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a subgradient-type method for solving nonsmooth multiobjective optimization problems on Riemannian manifolds is proposed and analyzed. This method extends, to the multicriteria case, the classical subgradient method for real-valued minimization proposed by Ferreira and Oliveira (J. Optim. Theory Appl. 97:93–104, 1998). The sequence generated by the method converges to a Pareto optimal point of the problem, provided that the sectional curvature of the manifold is nonnegative and the multicriteria function is convex.
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页码：125 / 137
页数：12
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