Jordan quadratic SSM-property and its relation to copositive linear transformations on Euclidean Jordan algebras

被引：5

作者：

Jeyaraman, I. ^{[1
]}

Vetrivel, V. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 02期

关键词：

Euclidean Jordan algebra; Complementarity problem; Jordan quadratic SSM-property; Copositiveness; SSM-property; GUS-property; COMPLEMENTARITY-PROBLEMS; P-PROPERTIES; SYMMETRIC CONES;

D O I：

10.1016/j.laa.2010.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce Jordan quadratic SSM-property and study its relation to copositive linear transformations on Euclidean Jordan algebras. In particular, we study this relationship for normal Z-transformations, Lyapunov-like transformations and cone invariant transformations. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：390 / 400

页数：11

共 45 条

[1] Strict Semimonotonicity Property of Linear Transformations on Euclidean Jordan Algebras
Tao, J.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (03) : 575 - 596
[2] Strict Semimonotonicity Property of Linear Transformations on Euclidean Jordan Algebras
J. Tao
[J]. Journal of Optimization Theory and Applications, 2010, 144 : 575 - 596
[3] On the Uniform Nonsingularity Property for Linear Transformations on Euclidean Jordan Algebras
Sznajder, Roman
Gowda, M. Seetharama
Tao, Jiyuan
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) : 306 - 319
[4] On the Uniform Nonsingularity Property for Linear Transformations on Euclidean Jordan Algebras
Roman Sznajder
M. Seetharama Gowda
Jiyuan Tao
[J]. Journal of Optimization Theory and Applications, 2012, 153 : 306 - 319
[5] Weighted LCPs and interior point systems for copositive linear transformations on Euclidean Jordan algebras
Gowda, M. Seetharama
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2019, 74 (02) : 285 - 295
[6] Weighted LCPs and interior point systems for copositive linear transformations on Euclidean Jordan algebras
M. Seetharama Gowda
[J]. Journal of Global Optimization, 2019, 74 : 285 - 295
[7] Positive Principal Minor Property of Linear Transformations on Euclidean Jordan Algebras
J. Tao
[J]. Journal of Optimization Theory and Applications, 2009, 140 : 131 - 152
[8] On the completely-Q property for linear transformations on Euclidean Jordan algebras
Tao, Jiyuan
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (05) : 2054 - 2071
[9] Positive Principal Minor Property of Linear Transformations on Euclidean Jordan Algebras
Tao, J.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 140 (01) : 131 - 152
[10] Sufficiency of linear transformations on Euclidean Jordan algebras
Qin, Linxia
Kong, Lingchen
Han, Jiye
[J]. OPTIMIZATION LETTERS, 2009, 3 (02) : 265 - 276

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