2011
DOI: 10.13001/1081-3810.1437
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Pseudomonotonicity and related properties in Euclidean Jordan algebras

Abstract: Abstract. In this paper, we extend the concept of pseudomonotonicity from R n to the setting of Euclidean Jordan algebras. We study interconnections between pseudomonotonicity, monotonicity, and the Z-property.

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Cited by 4 publications
(5 citation statements)
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“…Another thing to notice is that, for distinct distances, the situation is quite different when V is (or contains) a plane or a sphere, in which case the bound goes up to Ω(n/ log n) [39,67] (see also Sheffer's survey [61] for details).…”
Section: Repeated Distancesmentioning
confidence: 99%
“…Another thing to notice is that, for distinct distances, the situation is quite different when V is (or contains) a plane or a sphere, in which case the bound goes up to Ω(n/ log n) [39,67] (see also Sheffer's survey [61] for details).…”
Section: Repeated Distancesmentioning
confidence: 99%
“…More discussions on the pseudomonotone LCP can be found in, for Downloaded by [Nanyang Technological University] at 16:33 05 June 2016 example, [15,16,18,20] and the references therein. The following assertions which are stated using K n also hold for a general symmetric cone of a Euclidean Jordan algebra, and the proof can be found in [19] and [16].…”
Section: And Only If a Is Nonsingular If A Is Nonsingular Then Bd(amentioning
confidence: 99%
“…To guarantee the convexity of the solution set, to the authors' best knowledge, it is known that the weakest condition on the associated matrix is the so-called pseudomonotonicity (see [2,Def. 2.3.1] or [15,16] and also (3)), which was firstly introduced by Karamardian [17], and studied subsequentlly by e.g. Crouzeix et.…”
Section: Introductionmentioning
confidence: 99%
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