The Conjecture of Young's Inequality on Second-Order Cones
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2018
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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.
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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Optimization, Second-Order Cones, Lorentz Cone, Inequality, Young's Inequality, Optimization, Second-Order Cones, Lorentz Cone, Inequality, Young's Inequality