On the self-duality and homogeneity of ellipsoidal cones

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

The class of ellipsoidal cones, as an important prototype in closed convex cones, covers several practical instances such as second-order cone, circular cone and elliptic cone. In natural feature, it belongs to the category of nonsymmetric cones because it is non-self-dual under standard inner product. Nonetheless, it can be converted to a second-order cone, which is symmetric, by a transformation and vice versa. Is it possible to make an ellipsoidal cone to become self-dual by defining new setting of inner product? Is the class of ellipsoidal cones homogeneous? We provide affirmative answers for these two questions in this paper. As byproducts, its special cases such as circular cone and elliptic cone can be tackled likewise.

原文英語
頁(從 - 到)1355-1367
頁數13
期刊Journal of Nonlinear and Convex Analysis
19
發行號8
出版狀態已發佈 - 2018 一月 1

ASJC Scopus subject areas

  • 分析
  • 幾何和拓撲
  • 控制和優化
  • 應用數學

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