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

[31] A Farkas lemma without a standard closure condition
Lasserre, JB
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (01) : 265 - 272
[32] Farkas’ Lemma in the bilinear setting and evaluation functionals
Richard Aron
Domingo García
Damián Pinasco
Ignacio Zalduendo
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[33] Scalable Linear Invariant Generation with Farkas' Lemma
Liu, Hongming
Fu, Hongfei
Yu, Zhiyong
Song, Jiaxin
Li, Guoqiang
PROCEEDINGS OF THE ACM ON PROGRAMMING LANGUAGES-PACMPL, 2022, 6 (OOPSLA):
[34] On Farkas lemma and dimensional rigidity of bar frameworks
Alfakih, A. Y.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 504 - 522
[35] GENERALIZATION OF THE FARKAS LEMMA AND APPLICATIONS TO CONVEX PROGRAMMING
ZALINESCU, C
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 66 (03) : 651 - 678
[36] Farkas' lemma for separable sublinear inequalities without qualifications
Jeyakumar, V.
Li, G. Y.
OPTIMIZATION LETTERS, 2009, 3 (04) : 537 - 545
[37] A NEW VERSION OF FARKAS LEMMA AND GLOBAL CONVEX MAXIMIZATION
JEYAKUMAR, V
GLOVER, BM
APPLIED MATHEMATICS LETTERS, 1993, 6 (05) : 39 - 43
[38] Robust Farkas' lemma for uncertain linear systems with applications
Jeyakumar, V.
Li, G.
POSITIVITY, 2011, 15 (02) : 331 - 342
[39] GENERALIZED FARKAS LEMMA WITH APPLICATIONS TO QUASIDIFFERENTIABLE PROGRAMMING.
Glover, B.M.
ZOR. Zeitschrift fur Operations-Research, 1982, 26 (05): : 125 - 141
[40] A FARKAS LEMMA FOR DIFFERENCE SUBLINEAR SYSTEMS AND QUASIDIFFERENTIABLE PROGRAMMING
GLOVER, BM
JEYAKUMAR, V
OETTLI, W
MATHEMATICAL PROGRAMMING, 1994, 63 (01) : 109 - 125

← 1 2 3 4 5 →