張毓麟Chang, Yu-Lin蕭宇軒Hsiao, Yu-Hsuan2019-09-052019-08-292019-09-052018http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060340005S%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101541無中文摘要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.OptimizationSecond-Order ConesLorentz ConeInequalityYoung's InequalityOptimizationSecond-Order ConesLorentz ConeInequalityYoung's Inequality