二阶锥三角函数及其相关公式
Correlation Formulas of Trigonometric Functions Associated with Second-Order Cone
DOI: 10.12677/PM.2016.63031, PDF, HTML, XML, 下载: 2,098  浏览: 4,850  国家自然科学基金支持
作者: 张 燕*, 郝自军, 余国林：北方民族大学数学与信息科学学院，宁夏 银川
关键词: 二阶锥；三角函数；相关公式；Second-Order Cone； Trigonometric Functions； Correlation Formulas
摘要: 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。
Abstract: 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.
文章引用：张燕, 郝自军, 余国林. 二阶锥三角函数及其相关公式[J]. 理论数学, 2016, 6(3): 199-205. http://dx.doi.org/10.12677/PM.2016.63031

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