This paper is devoted to the study of the {symmetric cone linear complementarity problem} (SCLCP). In this context, our aim is to characterize the class Q_b in terms of larger classes, such as Q and R_0. For this, we introduce the class F and García's transformations. We studied them for concrete particular instances (such as second-order and semidefinite linear complementarity problems) and for specific examples (Lyapunov, Stein functions, among others). This naturally permits to establish noncoercive existence results for SCLCPs.
Citation
Technical Report DIM-CMM Nº B-11/12-241, Diciembre/2011.