%0 Journal Article
%T 一类可变盒子上投影算子的几何性质研究<br>Study on the Geometric Properties of Projection Operators on a Class of Variable Boxes
%A 沈东霞
%A 王诗云
%A 齐国庆
%A 赵常霖
%A 黄婕妤
%J Pure Mathematics
%P 17-22
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.101004
%X <p align=\"justify\">
	闭凸锥投影算子几何性质对增广拉格朗日方法，投影算子几何性质的研究以及优化问题的灵敏性分析有着至关重要的作用。本文研究一类可变盒子的对偶锥、切锥、极锥与临界锥为进一步研究这一类可变盒子上投影算子的几何性质以及相关优化问题的灵敏度分析奠定了基础。<br />
The geometric properties of closed convex cone projection operators are very important for the study of Lagrangian, the geometric properties of projection operators and the sensitivity analysis of optimization problems. In this paper, we study the dual cone, tangent cone, polar cone and critical cone of a class of variable box, which lays a foundation for the further study of the geometric properties of projection operators on this class of variable box and the sensitivity analysis of related optimization problems.
</p>
%K 投影算子，对偶锥，切锥，极锥，临界锥<br>Projection Operator
%K Dual Cones
%K Cutting Cones
%K Polar Cone
%K Critical Cone
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=33828