Positive Principal Minor Property of Linear Transformations on Euclidean Jordan Algebras

被引：12

作者：

Tao, J. ^{[1
]}

机构：

[1] Loyola Coll, Dept Math Sci, Baltimore, MD 21210 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 140卷 / 01期

关键词：

Euclidean Jordan algebra; PPM property; Complementarity problems; R-0; property; Q property; Z property; GUS property; Lipschitzian GUS property; P-PROPERTIES; COMPLEMENTARITY; THEOREM; FORMS;

D O I：

10.1007/s10957-008-9436-9

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 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 a"' (n) and show that the PPM property implies the Q property. We also study a matrix-induced transformation on a"' (n) .

引用

页码：131 / 152

页数：22

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