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A simple algebraic proof of Farkas's lemma and related theorems

 

作者: C.G. Broyden,  

 

期刊: Optimization Methods and Software  （Taylor Available online 1998）
卷期: Volume 8, issue 3-4  

页码: 185-199

 

ISSN:1055-6788

 

年代: 1998

 

DOI:10.1080/10556789808805676

 

出版商: Gordon and Breach Science Publishers

 

关键词: Orthogonal Matrices;Cayley Transforms;Linear Programming;Duality

 

数据来源: Taylor

 

摘要:

A proof is given of Farkas's lemma based on a new theorem pertaining to orthogodal matrices. It is claimed that this theorem is slightly more general than Tucker's theorem, which concerns skew-symmetric matrices and which may itself be derived simply from tne new theorem. Farkas's lemma and other theorems of the alternative then follow trivially from Tucker's theorem

 

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