Spectral analysis of coupled linear complementarity problems

✍ Scribed by Amine Amri; Alberto Seeger

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 224 KB
• Volume: 432
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2009.11.026

✦ Synopsis

This note deals with the so-called cone-constrained bivariate eigenvalue problem. The equilibrium model under consideration is a system of linear complementarity problems

involving two closed convex cones and their corresponding duals. We study the set of pairs (λ, μ) ∈ R 2 for which this system has a "nontrivial" solution (x, y) ∈ R n+m . We discuss also the link between the cone-constrained version and the unconstrained one.