A very short algebraic proof of the Farkas lemma
type: Item
instance of: scholarly article
title: A very short algebraic proof of the Farkas lemma
zbMATH Open document ID: 1262.15020
author: David Bartl
published in: Mathematical Methods of Operations Research
publication date: 2013-02-20T00:00:00Z
review text: The short note presents a generalization of the classical Farkas lemma from linear programming [\textit{J. Farkas}, J. für Math. 124, 1--27 (1901; JFM 32.0169.02)] that holds for vector spaces over a totally ordered (skew) field.
reviewed by: Igor Klep
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 06F20
Mathematics Subject Classification ID: 12J15
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6137591
zbMATH Keywords: Farkas lemma
zbMATH Keywords: linear inequality
zbMATH Keywords: linear programming
zbMATH Keywords: vector space
zbMATH Keywords: totally ordered (skew) field
MaRDI profile type: Publication
full work available at URL: s00186-011-0377-y
OpenAlex ID: W2061616249
Wikidata QID: Q124960823
cites work: Farkas' Lemma, other theorems of the alternative, and linear programming in infinite-dimensional spaces: a purely linear-algebraic approach
cites work: A Short Algebraic Proof of the Farkas Lemma
cites work: Q5620471
cites work: Q3236243
DOI: 10.1007/S00186-011-0377-Y
description: scientific article; zbMATH DE number 6137591