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Michael Orlitzky (michaelorlitzky.com) Abstract:
If K is a closed convex cone and if L is a linear operator having L(K) a subset of K, then L is a positive operator on K and L preserves inequality with respect to K. The set of all positive operators on K is denoted by pi(K). If J is the dual of K, then its complementarity set is
C(K) := {(x,s) in (K,J)  Keywords: lyapunov rank, bilinearity rank, positive operators, completelypositive cone, copositive cone Category 1: Linear, Cone and Semidefinite Programming Category 2: Complementarity and Variational Inequalities Category 3: Convex and Nonsmooth Optimization (Convex Optimization ) Citation: Linear and Multilinear Algebra (accepted) Download: Entry Submitted: 03/12/2017 Modify/Update this entry  
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