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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: OptimizationSecond-Order ConesLorentz ConeInequalityYoung'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.

    1 Introduction 1 2 Preliminaries 2 3 Main Results 9 References 20

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