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- W3100320937 abstract "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)." @default.
- W3100320937 created "2020-11-23" @default.
- W3100320937 creator A5061633817 @default.
- W3100320937 creator A5088347185 @default.
- W3100320937 date "2021-03-01" @default.
- W3100320937 modified "2023-10-14" @default.
- W3100320937 title "On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems" @default.
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- W3100320937 doi "https://doi.org/10.1016/j.laa.2020.11.010" @default.
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