Abstract
Let K⊆Rn be the n-dimensional Lorentz cone. Given an n×n matrix M and q∈Rn, the Lorentz-cone linear complementarity problem LCLCP(M,q) is to find an x∈Rn that satisfiesx∈K,y:=Mx+q∈KandyTx=0. We show that if M is a Z-matrix with respect to K, then M is positive stable if and only if LCLCP(M,q) has a non-empty finite solution set for all q∈Rn.
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.
