SOME w-P PROPERTIES FOR LINEAR TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS

被引：0
|
作者：
Tao, Jiyuan [1 ]
机构：
[1] Loyola Univ Maryland Baltimore, Dept Math Sci, Baltimore, MD 21210 USA
来源：
PACIFIC JOURNAL OF OPTIMIZATION | 2009年 / 5卷 / 03期
关键词：
Euclidean Jordan algebra; P-property; w-P property; column sufficient property; column competent property; complementarity problem; Z-property; w-uniqueness; SYMMETRIC CONES; COMPLEMENTARITY-PROBLEMS; UNIQUENESS;
D O I：
暂无
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we introduce the concepts of w-P and w-uniqueness properties for a linear transformation defined on a Euclidean Jordan algebra V and study some interconnections between these concepts. We also specialize them to the space S(n) of all n x n real symmetric matrices with the semidefinite cone S(+)(n) and to the space R(n) with the Lorentz cone L(+)(n).
引用
收藏
页码：525 / 547
页数：23
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