对称锥上法锥的图的切锥与法锥描述  

Description of Tangent Cone and Normal Cone of the Graph of Normal Cone on Symmetric Cone

作　　者：刘书宇 张杰[1] 张灵宇 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《应用数学进展》2024年第11期4723-4727,共5页Advances in Applied Mathematics

摘　　要：本文研究了对称锥上法锥的图的切锥和法锥的数学描述。首先,基于对称锥的特性,引入了切锥和法锥的定义。然后,通过构建适当的数学模型,推导出切锥和法锥的精确公式,从而对对称锥规划问题的求解具有重要意义。In this paper, we study the mathematical description of tangent cone and normal cone of the graph of normal cone on symmetric cone. First, the definition of tangent cone and normal cone is introduced based on the properties of the symmetry cone. Then, by constructing appropriate mathematical models, we derive exact formulas for the tangent and normal cones, which have important implications for the solution of the symmetric cone programming problems.

关 键 词：对称锥 切锥 法锥 

分 类 号：O22[理学—运筹学与控制论]