Optimization by vector space methods

By: Luenberger, David G
Series: Wiley Professional Paperback SeriesPublisher: New York John Wiley and Sons 1969Description: 326 p.ISBN: 9780471181170Subject(s): Mathematical optimization | Linear topological spaces | Vector spacesDDC classification: 519 Summary: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book. Table of Contents Linear Spaces. Hilbert Space. Least-Squares Estimation. Dual Spaces. Linear Operators and Adjoints. Optimization of Functionals. Global Theory of Constrained Optimization. Local Theory of Constrained Optimization. Iterative Methods of Optimization. (http://as.wiley.com/WileyCDA/WileyTitle/productCd-047118117X.html)
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Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
Table of Contents
Linear Spaces.
Hilbert Space.
Least-Squares Estimation.
Dual Spaces.
Linear Operators and Adjoints.
Optimization of Functionals.
Global Theory of Constrained Optimization.
Local Theory of Constrained Optimization.
Iterative Methods of Optimization.
(http://as.wiley.com/WileyCDA/WileyTitle/productCd-047118117X.html)

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