دورية أكاديمية

Further relationship between second-order cone and positive semidefinite matrix cone.

التفاصيل البيبلوغرافية
العنوان: Further relationship between second-order cone and positive semidefinite matrix cone.
المؤلفون: Zhou, Jinchuan, Tang, Jingyong, Chen, Jein-Shan
المصدر: Optimization; Dec2016, Vol. 65 Issue 12, p2115-2133, 19p
مصطلحات موضوعية: SEMIDEFINITE programming, TANGENTS (Geometry), MATHEMATICAL reformulation, CONES, MATHEMATICAL analysis
مستخلص: It is well known that second-order cone (SOC) programming can be regarded as a special case of positive semidefinite programming using the arrow matrix. This paper further studies the relationship between SOCs and positive semidefinite matrix cones. In particular, we explore the relationship to expressions regarding distance, projection, tangent cone, normal cone and the KKT system. Understanding these relationships will help us see the connection and difference between the SOC and its PSD reformulation more clearly. [ABSTRACT FROM PUBLISHER]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:02331934
DOI:10.1080/02331934.2016.1220553