Solution analysis for the pseudomonotone second-order cone linear complementarity problem |
| |
| Authors: | W H Yang Lei-Hong Zhang Chungen Shen |
| |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai, People’s Republic of China.whyang@fudan.edu.cn;3. School of Mathematics, Shanghai Key Laboratory of Financial Information Technology, Shanghai University of Finance and Economics, Shanghai, People’s Republic of China.;4. College of Science, University of Shanghai for Science and Technology, Shanghai, People’s Republic of China. |
| |
| Abstract: | In this paper, we are concerned with the set of the solutions and the geometric property of the pseudomonotone second-order cone linear complementarity problems (SOCLCP). Based on Tao’s recent work Tao, J. Optim. Theory Appl., 159, 41–56 (2013)] on pseudomonotone LCP on Euclidean Jordan algebras, we characterize the set of solutions and also derive intrinsic properties that reveal the underlying geometry of the pseudomonotone SOCLCP. |
| |
| Keywords: | Pseudomonotone SOCLCP J-eigenvalue GUS property |
|
|
