We consider the linear complementarity problem with uncertain data modeled by intervals, representing range of possible values. Many properties (such as solvability, uniqueness, convexity, finite number solutions etc.) are reflected constraint matrix. In order that has desired even in environment, we have to be able check them for all realizations interval data. This leads us robust matrices. p...

In this paper, we discuss the perturbation analysis of extended vertical linear complementarity problem (EVLCP). Under assumption row $${\mathcal {W}}$$ -property, derive several absolute and relative bounds EVLCP, which extend some existing results. Several numerical examples are given to show proposed bounds.

The extended linear complementarity problem (XLCP) has been introduced in a recent paper by Mangasarian and Pang. In the present research, minimization problems with simple bounds associated to this problem are deened. When the XLCP is solvable, their solutions are global minimizers of the associated problems. Suucient conditions that guarantee that stationary points of the associated problems ...

An extension of the linear complementarity problem (LCP) of mathematical programming is the so-called rational complementarity problem (RCP). This problem occurs if com-plementarity conditions are imposed on input and output variables of linear dynamical in-put/state/output systems. The resulting dynamical systems are called linear complementar-ity systems. Since the RCP is crucial both in issu...