FARKAS' LEMMA OF ALTERNATIVE

被引：0

作者：

Jacimovic, Milojica ^{[1
]}

机构：

[1] Univ Montenegro, Dept Math, Podgorica, Montenegro

来源：

TEACHING OF MATHEMATICS | 2011年 / 14卷 / 02期

关键词：

Theorems of alternative; separating hyperplane; absence of arbitrage;

D O I：

暂无

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We will present Farkas' formulation of the theorem of alternative related to solvability of a system of linear inequalities and present one review of the proofs based on quite different ideas.

引用

页码：77 / 86

页数：10

共 50 条

[41] Cutting planes from a mixed integer Farkas lemma
Köppe, M
Weismantel, R
OPERATIONS RESEARCH LETTERS, 2004, 32 (03) : 207 - 211
[42] FROM THE FARKAS LEMMA TO THE HAHN-BANACH THEOREM
Dinh, N.
Goberna, M. A.
Lopez, M. A.
Mo, T. H.
SIAM JOURNAL ON OPTIMIZATION, 2014, 24 (02) : 678 - 701
[43] On Zero Duality Gap and the Farkas Lemma for Conic Programming
Zalinescu, Constantin
MATHEMATICS OF OPERATIONS RESEARCH, 2008, 33 (04) : 991 - 1001
[44] Robust Farkas’ lemma for uncertain linear systems with applications
V. Jeyakumar
G. Li
Positivity, 2011, 15 : 331 - 342
[45] Farkas’ lemma for separable sublinear inequalities without qualifications
V. Jeyakumar
G. Y. Li
Optimization Letters, 2009, 3 : 537 - 545
[46] Comments on: Farkas’ lemma: three decades of generalizations for mathematical optimization
Chong Li
K. F. Ng
TOP, 2014, 22 : 23 - 26
[47] FARKAS LEMMA AND THE NATURE OF REALITY - STATISTICAL IMPLICATIONS OF QUANTUM CORRELATIONS
GARG, A
MERMIN, ND
FOUNDATIONS OF PHYSICS, 1984, 14 (01) : 1 - 39
[48] Extensions of Farkas-Minkowski's Lemma and Stiemke's Lemma in the Space l~1
张顺明
Tsinghua Science and Technology, 1997, (04) : 100 - 104
[49] From linear to convex systems:: Consistency, Farkas' lemma and applications
Dinh, N
Goberna, MA
López, MA
JOURNAL OF CONVEX ANALYSIS, 2006, 13 (01) : 113 - 133
[50] Solving inequalities and proving Farkas's lemma made easy
Avis, D
Kaluzny, B
AMERICAN MATHEMATICAL MONTHLY, 2004, 111 (02): : 152 - 157

← 1 2 3 4 5 →