More results on column sufficiency property in Euclidean Jordan algebras

J. Tao (), I. Jeyaraman () and G. Ravindran ()
Additional contact information
J. Tao: Loyola University Maryland
I. Jeyaraman: The Institute of Mathematical Sciences
G. Ravindran: Indian Statistical Institute

Annals of Operations Research, 2016, vol. 243, issue 1, No 14, 229-243

Abstract: Abstract A matrix M∈R n×n is said to be a column sufficient matrix if the solution set of LCP(M,q) is convex for every q∈R n . In a recent article, Qin et al. (Optim. Lett. 3:265–276, 2009) studied the concept of column sufficiency property in Euclidean Jordan algebras. In this paper, we make a further study of this concept and prove numerous results relating column sufficiency with the Z and Lypaunov-like properties. We also study this property for some special linear transformations.

Keywords: Euclidean Jordan algebra; Complementarity problem; Column sufficiency property; Z and Lyapunov-like transformations (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10479-013-1459-4

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