The solvabilities of three optimization problems associated with second-order cone

Xinhe Miao, Wei Ming Hsu, Chieu Thanh Nguyen, Jein Shan Chen

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this paper, we study the solvabilities of three optimization problems associated with second-order cone, including the absolute value equations associated with second-order cone (SOCAVE), eigenvalue complementarity problem associated with second-order cone (SOCEiCP), and quadratic eigenvalue complementarity problem associated with second-order cone (SOCQEiCP). More specifically, we characterize under what conditions these optimizations have solution and unique solution, respectively.

原文英語
頁(從 - 到)937-967
頁數31
期刊Journal of Nonlinear and Convex Analysis
22
發行號5
出版狀態已發佈 - 2021

ASJC Scopus subject areas

  • 分析
  • 幾何和拓撲
  • 控制和優化
  • 應用數學

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