Abstract
The globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear complementarity problems (SOCLCP) via some basic linear algebra properties of the involved matrix of SOCLCP. Some more concrete and checkable sufficient and necessary conditions for the GUS property are thus derived.
Original language | English |
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Pages (from-to) | 295-317 |
Number of pages | 23 |
Journal | Mathematical Programming |
Volume | 141 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Oct 2013 |
Scopus Subject Areas
- Software
- General Mathematics
User-Defined Keywords
- Globally uniquely solvable property
- Linear complementarity problem
- Second-order cone