Automorphism invariance of P- and GUS-properties of linear transformations on Euclidean Jordan algebras

被引：70

作者：

Gowda, MS ^{[1
]}

Sznajder, R

机构：

[1] Univ Maryland Baltimore Cty, Dept Math & Stat, Baltimore, MD 21250 USA

[2] Bowie State Univ, Dept Math, Bowie, MD 20715 USA

来源：

MATHEMATICS OF OPERATIONS RESEARCH | 2006年 / 31卷 / 01期

关键词：

Euclidean Jordan algebra; automorphism; P-property; globally uniquely solvable property; complementarity problem; super and ultra P-properties;

D O I：

10.1287/moor.1050.0182

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：

Generalizing the P-property of a matrix, Gowda et al. [Gowda, M. S., R. Sznajder, J. Tao. 2004. Some P-properties for linear transformations on Euclidean Jordan algebras. Linear Algebra Appl. 393 203-232] recently introduced and studied P- and globally uniquely solvable (GUS)-properties for linear transformations defined on Euclidean Jordan algebras. In this paper, we study the invariance of these properties under automorphisms of the algebra and of the symmetric cone. By means of these automorphisms and the concept of a principal subtransformation, we introduce and study ultra and super P-(GUS)-properties for a linear transformation on a Euclidean Jordan algebra.

引用

页码：109 / 123

页数：15

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