The Conjecture of Young's Inequality on Second-Order Cones

碩士 === 國立臺灣師範大學 === 數學系 === 106 === Some inequalities and trace inequalities are established and verified in SOCs. Most of them are very useful in optimization. In this article, by using vector decomposition, we find out some counterexamples and the condition for Young's inequality to hold on S...

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Bibliographic Details
Main Authors: Hsiao, Yu-Hsuan, 蕭宇軒
Other Authors: Chang, Yu-Lin
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/mcctfx
Description
Summary:碩士 === 國立臺灣師範大學 === 數學系 === 106 === Some inequalities and trace inequalities are established and verified in SOCs. Most of them are very useful in optimization. In this article, by using vector decomposition, we find out some counterexamples and the condition for Young's inequality to hold on SOCs.