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.

引用

页码：74 / 75

页数：2

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