Abstract
This paper establishes sufficient conditions for the connectedness of nontrivial subsets of the solution set to linear complementarity systems with special structure. Connectedness may be important to investigate stability and sensitivity questions, parametric problems, and for extending a Lemke-type method to a new class of problems. Such a property may help in analyzing the structure of the feasible region by checking the explicitly given matrices of the resulting conditions. From the point of view of geometry, the question is how to analyze the combined geometrical object consisting of a Riemannian manifold, a pointed cone, and level sets determined by linear inequalities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
