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Necessary conditions for a solution of a non-linear programming problem Lee, Linda May
Abstract
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.
Item Metadata
Title |
Necessary conditions for a solution of a non-linear programming problem
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1973
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Description |
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.
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Genre | |
Type | |
Language |
eng
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Date Available |
2011-03-23
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For 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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DOI |
10.14288/1.0080441
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Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For 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.