Positive Principal Minor Property of Linear Transformations on Euclidean Jordan Algebras

J. Tao ()
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J. Tao: Loyola College in Maryland

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 1, No 9, 152 pages

Abstract: Abstract In this article, we study the positive principal minor (PPM) property of linear transformations on Euclidean Jordan algebras. Specifically, we give a characterization of the PPM property on the Lorentz space ℒ n and show that the PPM property implies the Q property. We also study a matrix-induced transformation on ℒ n .

Keywords: Euclidean Jordan algebra; PPM property; Complementarity problems; R 0 property; Q property; Z property; GUS property; Lipschitzian GUS property (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-008-9436-9

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