Local minima of quadratic forms on convex cones

被引：23

作者：

Seeger, Alberto ^{[1
]}

Torki, Mounir ^{[2
]}

机构：

[1] Univ Avignon, Dept Math, F-84000 Avignon, France

[2] Univ Avignon, IUP, F-84911 Avignon, France

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2009年 / 44卷 / 01期

关键词：

Convex cones; Conic quadratic programming; Linear complementarity problems; Cone-constrained eigenvectors; ELLIPTIC VARIATIONAL-INEQUALITIES; EIGENVALUE PROBLEMS;

D O I：

10.1007/s10898-007-9225-2

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：

We study the local minima and the critical values of a quadratic form on the trace of a convex cone. This variational problem leads to the development of a spectral theory that combines matrix algebra and facial analysis of convex cones.

引用

页码：1 / 28

页数：28

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