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 th...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.展开更多
文摘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.