Some Results on Functions Associated With Second-Order Cone

碩士 === 國立臺灣師範大學 === 數學系 === 95 === 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 ,...

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Main Authors: Hsu, Ming-Li, 徐明利
Other Authors: Rung-Ching Tsai
Format: Others
Language:zh-TW
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/98892987037640494963
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spelling ndltd-TW-095NTNU54790312016-05-23T04:17:45Z http://ndltd.ncl.edu.tw/handle/98892987037640494963 Some Results on Functions Associated With Second-Order Cone 關於二級錐函數上的一些結果 Hsu, Ming-Li 徐明利 碩士 國立臺灣師範大學 數學系 95 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 . Rung-Ching Tsai 蔡蓉青 2007 學位論文 ; thesis 38 zh-TW
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description 碩士 === 國立臺灣師範大學 === 數學系 === 95 === 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 .
author2 Rung-Ching Tsai
author_facet Rung-Ching Tsai
Hsu, Ming-Li
徐明利
author Hsu, Ming-Li
徐明利
spellingShingle Hsu, Ming-Li
徐明利
Some Results on Functions Associated With Second-Order Cone
author_sort Hsu, Ming-Li
title Some Results on Functions Associated With Second-Order Cone
title_short Some Results on Functions Associated With Second-Order Cone
title_full Some Results on Functions Associated With Second-Order Cone
title_fullStr Some Results on Functions Associated With Second-Order Cone
title_full_unstemmed Some Results on Functions Associated With Second-Order Cone
title_sort some results on functions associated with second-order cone
publishDate 2007
url http://ndltd.ncl.edu.tw/handle/98892987037640494963
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