STEIN LINEAR PROGRAMS OVER SYMMETRIC CONES

被引：0

作者：

Jeyaraman, I. ^{[1
]}

Sivakumar, K. C. ^{[2
]}

Vetrivel, V. ^{[2
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

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

来源：

INTERNATIONAL GAME THEORY REVIEW | 2013年 / 15卷 / 04期

关键词：

Stein linear programming; Euclidean Jordan algebra; symmetric cone; Moore-Penrose inverse; least element; complementarity problem; GUS-property;

D O I：

10.1142/S0219198913400331

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using Moore-Penrose inverse, we characterize the feasibility of primal and dual Stein linear programs over symmetric cones in a Euclidean Jordan algebra V. We give sufficient conditions for the solvability of the Stein linear programming problem. Further, we give a characterization of the globally uniquely solvable property for the Stein transformation in terms of a least element of a set in V in the context of the linear complementarity problem.

引用

页数：14

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