The H α conjugate map and H α subdifferential were defined based on the α major cone, and the existence theorem for H α subdifferential was given.
基于 α-较多锥 ,引进了 Hα-外稳定、Hα-共轭映射和 Hα-次微分的概念 ,并给出了它们的基本性质以及 Hα-次微分的存在性定理 。
Firsty, conjugate map for set valued maps is presented; Secondly, five properties of conjugate map are obtained; Finally, the weak duality theorem and the strong duality theorem are obtained.
首先 ,给出了集值映射的共轭映射的概念 ;其次 ,给出了共轭映射的 5个性质 ;最后 ,获得了集值向量优化问题的ε-共轭对偶问题的弱对偶定理和强对偶定
The Benson proper efficiency conjugate map and subgradient for set-valued map is introduced The conjugate duality theory under Benson proper efficiency is established Finally, the strong and weak duality theorem and saddle point are prove
引入 Benson真有效意义下的集值映射的共轭映射及 Benson真有效次梯度 ,建立了 Benson真有效意义下的共轭对偶理论 ,证明了强、弱对偶定理和鞍点定理 。
The H α conjugate map and H α subdifferential were defined based on the α major cone, and the existence theorem for H α subdifferential was given.
基于 α-较多锥 ,引进了 Hα-外稳定、Hα-共轭映射和 Hα-次微分的概念 ,并给出了它们的基本性质以及 Hα-次微分的存在性定理 。
The concepts of ε-subdifferential and ε-conjugate mapping in linear topological spaces are in- troduced.
在线性拓扑空间中引入ε-次微分和ε-共轭映射的概念,系统地讨论了它们的若干性质,建立了一般向量极值问题的ε-共轭对偶定理。
Aimed at the inter-sub-carrier interference caused by phase noise,an interference cancellation method based on data conjugate mapping is given and discussed.
结合实际应用中收发信电台的本振往往存在相位噪声的问题,分析了相位噪声对子载波信号的影响,并针对相位噪声引起的子载波间干扰,给出并分析了基于数据共轭映射的干扰消除方法,对该方法的BER性能和PAPR性能进行了仿真,实验结果表明,基于数据共轭映射的子载波间干扰消除方法具有良好的系统性能。