A Short Simple Proof of Closedness of Convex Cones and Farkas' Lemma

被引：0
|
作者：
Kager, Wouter [1 ]
机构：
[1] Vrije Univ Amsterdam, Dept Math, Boelelaan 1105, NL-1081 HV Amsterdam, Netherlands
来源：
AMERICAN MATHEMATICAL MONTHLY | 2024年 / 131卷 / 01期
关键词：
15A39; 90C05; 52A20;
D O I：
10.1080/00029890.2023.2261816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Proving that a finitely generated convex cone is closed is often considered the most difficult part of geometric proofs of Farkas' lemma. We provide a short simple proof of this fact and (for completeness) derive Farkas' lemma from it using well-known arguments.
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页码：74 / 75
页数：2
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