Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 937-967 |
| Number of pages | 31 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 22 |
| Issue number | 5 |
| Publication status | Published - 2021 |
Keywords
- Absolute value equations
- Eigenvalue
- Second-order cone
- Solvability
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics