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A Note on a Conjecture of Mantel Concerning Quadratic Programming

 

作者: CharlesE. Antle,   LawrenceA. Klimko,  

 

期刊: Technometrics  （Taylor Available online 1971）
卷期: Volume 13, issue 2  

页码: 425-427

 

ISSN:0040-1706

 

年代: 1971

 

DOI:10.1080/00401706.1971.10488796

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The problem considered is that of minimizing a positive definite quadratic form subject to linear constraints. Mantel has conjectured that the constrained minimum must lie on that boundary which is farthest from the unconstrained minimum, where distance is measured by means of the given quadratic form. A counter-example is given.

 

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