On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems

Xin He Miao, Jein Shan Chen

研究成果: 雜誌貢獻期刊論文同行評審

摘要

The P-property of the linear transformation in second-order cone linear complementarity problems (SOCLCP) plays an important role in checking the globally uniquely solvable (GUS) property due to the work of Gowda et al. However, it is not easy to verify the P-property of the linear transformation, in general. In this paper, we provide matrix characterizations for checking the P-property, which is a new approach different from those in the literature. This is a do-able manipulation, which helps verifications of the P-property and globally uniquely solvable (GUS) property in second-order cone linear complementarity problems. Moreover, using an equivalence relation to the second-order cone linear complementarity problem, we study some sufficient and necessary conditions for the unique solution of the absolute value equations associated with second-order cone (SOCAVE).

原文英語
頁(從 - 到)271-294
頁數24
期刊Linear Algebra and Its Applications
613
DOIs
出版狀態接受/付印 - 2020

ASJC Scopus subject areas

  • 代數與數理論
  • 數值分析
  • 幾何和拓撲
  • 離散數學和組合

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