二阶锥三角函数及其相关公式

Abstract

二阶锥函数在求解二阶锥规划及二阶锥互补问题的算法中有广泛应用。本文在约当代数的理论基础上推导得出三角函数在二阶锥上的表达式，然后给出了二阶锥三角函数的若干相关公式。 The function associated with the second-order cones (SOCs) is wildly used in solving second-order cone programming and second-order cone complementarity problems. In this article, on the basis of Euclidean Jordan algebra, the simple formulas of trigonometric functions associated with SOC are derived and some correlation formulas of trigonometric function are also presented.