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More results on column sufficiency property in Euclidean Jordan algebras

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  • J. Tao

    (Loyola University Maryland)

  • I. Jeyaraman

    (The Institute of Mathematical Sciences)

  • G. Ravindran

    (Indian Statistical Institute)

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.

Suggested Citation

  • J. Tao & I. Jeyaraman & G. Ravindran, 2016. "More results on column sufficiency property in Euclidean Jordan algebras," Annals of Operations Research, Springer, vol. 243(1), pages 229-243, August.
    • Handle: RePEc:spr:annopr:v:243:y:2016:i:1:d:10.1007_s10479-013-1459-4
    DOI: 10.1007/s10479-013-1459-4
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    References listed on IDEAS

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    1. M. Seetharama Gowda & Roman Sznajder, 2006. "Automorphism Invariance of P - and GUS -Properties of Linear Transformations on Euclidean Jordan Algebras," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 109-123, February.
    2. Jiyuan Tao & M. Seetharama Gowda, 2005. "Some P -Properties for Nonlinear Transformations on Euclidean Jordan Algebras," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 985-1004, November.
    3. J. Tao, 2010. "Strict Semimonotonicity Property of Linear Transformations on Euclidean Jordan Algebras," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 575-596, March.
    4. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
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