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Necessary conditions for a solution of a non-linear programming problem

The conditions required for a solution of general non-linear programming problems of the form
min{f(x): x є X, g(x) ≤ 0, h(x)=0};
where f is called the objective function, g the inequality constraint and. h the equality constraint, are presented in this thesis. The following cases are studied:
(1) X, a finite dimensional space; f, a real valued function; and g and h finite dimensional vector functions.
(2) X, an infinite dimensional space; f, a real valued function; and g and h either finite or infinite dimensional vector functions.
An application of this type of problem to optimal control will be given and the recent developments in this area will be discussed. / Science, Faculty of / Mathematics, Department of / Graduate

Identiferoai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/32767
Date January 1973
CreatorsLee, Linda May
PublisherUniversity of British Columbia
Source SetsUniversity of British Columbia
LanguageEnglish
Detected LanguageEnglish
TypeText, Thesis/Dissertation
RightsFor non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.

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