Critical angles in polyhedral convex cones: numerical and statistical considerations

被引：12

作者：

Gourion, Daniel ^{[1
]}

Seeger, Alberto ^{[1
]}

机构：

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

来源：

MATHEMATICAL PROGRAMMING | 2010年 / 123卷 / 01期

关键词：

MAXIMUM-LIKELIHOOD-ESTIMATION; LOG-LINEAR MODELS; CONSTRAINTS; PAIRS;

D O I：

10.1007/s10107-009-0317-2

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This work concerns the numerical computation of critical angles in polyhedral convex cones. The set of proper critical angles is evaluated explicitly by solving a series of generalized eigenvalue problems involving the generators of the cone. The local maximal angles are identified by using a necessary condition for local maximality. The expected numbers of critical angles in random polyhedral convex cones are estimated experimentally.

引用

页码：173 / 198

页数：26

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