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

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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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
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spelling ndltd-TW-106NTNU54790102019-05-16T00:52:37Z http://ndltd.ncl.edu.tw/handle/mcctfx The Conjecture of Young's Inequality on Second-Order Cones The Conjecture of Young's Inequality on Second-Order Cones Hsiao, Yu-Hsuan 蕭宇軒 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. Chang, Yu-Lin 張毓麟 學位論文 ; thesis 21 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 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.
author2 Chang, Yu-Lin
author_facet Chang, Yu-Lin
Hsiao, Yu-Hsuan
蕭宇軒
author Hsiao, Yu-Hsuan
蕭宇軒
spellingShingle Hsiao, Yu-Hsuan
蕭宇軒
The Conjecture of Young's Inequality on Second-Order Cones
author_sort Hsiao, Yu-Hsuan
title The Conjecture of Young's Inequality on Second-Order Cones
title_short The Conjecture of Young's Inequality on Second-Order Cones
title_full The Conjecture of Young's Inequality on Second-Order Cones
title_fullStr The Conjecture of Young's Inequality on Second-Order Cones
title_full_unstemmed The Conjecture of Young's Inequality on Second-Order Cones
title_sort conjecture of young's inequality on second-order cones
url http://ndltd.ncl.edu.tw/handle/mcctfx
work_keys_str_mv AT hsiaoyuhsuan theconjectureofyoungsinequalityonsecondordercones
AT xiāoyǔxuān theconjectureofyoungsinequalityonsecondordercones
AT hsiaoyuhsuan conjectureofyoungsinequalityonsecondordercones
AT xiāoyǔxuān conjectureofyoungsinequalityonsecondordercones
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