研究生: |
蕭宇軒 Hsiao, Yu-Hsuan |
---|---|
論文名稱: |
The Conjecture of Young's Inequality on Second-Order Cones The Conjecture of Young's Inequality on Second-Order Cones |
指導教授: |
張毓麟
Chang, Yu-Lin |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2018 |
畢業學年度: | 106 |
語文別: | 英文 |
論文頁數: | 21 |
中文關鍵詞: | Optimization 、Second-Order Cones 、Lorentz Cone 、Inequality 、Young's Inequality |
英文關鍵詞: | Optimization, Second-Order Cones, Lorentz Cone, Inequality, Young's Inequality |
DOI URL: | http://doi.org/10.6345/THE.NTNU.DM.008.2018.B01 |
論文種類: | 學術論文 |
相關次數: | 點閱:114 下載:13 |
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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.
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