關於二級錐函數上的一些結果

Some Results on Functions Associated With Second-Order Cone

徐明利(Ming-Li Hsu)

指導教授 ： 蔡蓉青

國立臺灣師範大學/理學院/數學系/碩士(2006年)

摘要

關於二級錐向量值函數在解決二級錐問題及二級錐互補問題上有許多的研究 . 這篇論文是研究二級錐函數及其凹口的性質 , 特別是我們導出二級錐上行列式的一個特性 . 最後 , 我們以另一個方法討論二級錐對數函數單調的性質 .

關鍵字

二級錐 ； 二級錐函數 ； 二級錐凸函數 ； 二級錐單調函數

並列摘要

The vector-valued functions associated with second-order cones have been much studied in solutions methods for second-order-cone programs (SOCPs) and second-order-cone complementarity programs (SOCCPs). In this paper, we study the SOC-convexity for some function , in particular, we derive some characterization of determinant defined on second-order cones (SOCs). Finally, we discuss the SOC-monotonicity for the lagarithmic function which is approached by different analysis .

並列關鍵字

Second-order cone ； SOC function ； SOC-convex function ； SOC-monotone function

參考文獻

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