向量值优化问题的一类Newton型方法
Newton-like Methods for Vector-valued Optimization Problems
本文在由具有非空内部的点闭凸锥赋予的偏序欧氏空间框架下,针对向量值优化问题提出一个统一的Newton型方法及其变形。在适当的假设下,证明了算法的收敛性。
In this paper, we propose a unify Newton-like method and its variant for vector-valued optimization in the context of Euclidean spaces, with respect to the partial orders induced by a pointed, closed and convex cone with a nonempty interior. Under suitable hypotheses, both partial and full convergence results are established.
陈纯荣、梁爽
数学
向量优化Newton型方法收敛性标量化
Vector optimizationNewton-like methodConvergenceScalarization
陈纯荣,梁爽.向量值优化问题的一类Newton型方法[EB/OL].(2014-10-28)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201410-331.点此复制
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