STEIN LINEAR PROGRAMS OVER SYMMETRIC CONES

I. JEYARAMAN; K. C. SIVAKUMAR; V. VETRIVEL

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STEIN LINEAR PROGRAMS OVER SYMMETRIC CONES

机译：对称圆锥上的斯坦线性规划

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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.

机译：在本文中，使用Moore-Penrose逆，我们描述了在欧几里得Jordan代数V中对称锥上的原始和双重Stein线性程序的可行性。我们为Stein线性规划问题的可解性提供了充分的条件。此外，在线性互补问题的背景下，我们用V中集合的最小元素来描述Stein变换的全局唯一可解性质。

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来源
《International game theory review》 |2013年第4期|1340033-1-1340033-14|共14页
作者
I. JEYARAMAN; K. C. SIVAKUMAR; V. VETRIVEL;
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作者单位

The Institute of Mathematical Sciences Chennai-600 113, India;

Department of Mathematics Indian Institute of Technology Madras Chennai-600 036, India;

Department of Mathematics Indian Institute of Technology Madras Chennai-600 036, India;

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正文语种 eng
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关键词
Stein linear programming; Euclidean Jordan algebra; symmetric cone; Moore-Penrose inverse; least element; complementarity problem; GUS-property;

机译：斯坦因线性规划;欧几里得约旦代数;对称锥Moore-Penrose逆;最少元素互补性问题GUS属性;

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STEIN LINEAR PROGRAMS OVER SYMMETRIC CONES

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