A Farkas lemma without a standard closure condition

被引:7
|
作者
Lasserre, JB
机构
[1] LAAS-CNRS, 31 077 Toulouse Cédex
关键词
Farkas lemma; duality; convex cones; Banach spaces; locally convex topological vector spaces; Hilbert spaces;
D O I
10.1137/S0363012994268321
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We present a setting in which we derive a new Farkas lemma for the system {Ax = b, x is an element of S} without the standard closure condition on A(S). Further characterization in Hilbert spaces is also presented.
引用
收藏
页码:265 / 272
页数:8
相关论文
共 50 条
  • [31] Affine Disjunctive Invariant Generation with Farkas' Lemma
    Ke, Jingyu
    Fu, Hongfei
    Liu, Hongming
    Sun, Zhouyue
    Chen, Liqian
    Li, Guoqiang
    VERIFICATION, MODEL CHECKING, AND ABSTRACT INTERPRETATION, VMCAI 2025, PT I, 2025, 15529 : 187 - 213
  • [32] A discrete variant of Farkas' lemma and related results
    Bartl, David
    OPTIMIZATION, 2021, 70 (09) : 2031 - 2060
  • [33] Lyapunov Function Synthesis - Infeasibility and Farkas' Lemma
    Leth, Tobias
    Sloth, Christoffer
    Wisniewski, Rafal
    Sankaranarayanan, Sriram
    IFAC PAPERSONLINE, 2017, 50 (01): : 1667 - 1672
  • [34] A note on the short algebraic proof of Farkas' Lemma
    Bartl, David
    LINEAR & MULTILINEAR ALGEBRA, 2012, 60 (08): : 897 - 901
  • [35] 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
  • [36] 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):
  • [37] On Farkas lemma and dimensional rigidity of bar frameworks
    Alfakih, A. Y.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 504 - 522
  • [39] A NEW VERSION OF FARKAS LEMMA AND GLOBAL CONVEX MAXIMIZATION
    JEYAKUMAR, V
    GLOVER, BM
    APPLIED MATHEMATICS LETTERS, 1993, 6 (05) : 39 - 43
  • [40] Robust Farkas' lemma for uncertain linear systems with applications
    Jeyakumar, V.
    Li, G.
    POSITIVITY, 2011, 15 (02) : 331 - 342