Source:http://linkedlifedata.com/resource/pubmed/id/16592378
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
1
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pubmed:dateCreated |
2010-6-29
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pubmed:abstractText |
The problem of concern is the minimization of a convex function over a normed space (such as a Hilbert space) subject to the constraints that a number of other convex functions are not positive. As is well known, there is a dual maximization problem involving Lagrange multipliers. Some of the constraint functions are linear, and so the Uzawa, Stoer, and Witzgall form of the Slater constraint qualifications is appropriate. A short elementary proof is given that the infimum of the first problem is equal to the supremum of the second problem.
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pubmed:commentsCorrections | |
pubmed:language |
eng
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pubmed:journal | |
pubmed:status |
PubMed-not-MEDLINE
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pubmed:month |
Jan
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pubmed:issn |
0027-8424
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pubmed:author | |
pubmed:issnType |
Print
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pubmed:volume |
74
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
26-8
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pubmed:dateRevised |
2010-9-15
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pubmed:year |
1977
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pubmed:articleTitle |
Convex programs having some linear constraints.
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pubmed:affiliation |
Department of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213.
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pubmed:publicationType |
Journal Article
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