1997 OptimizationByVectorSpaceMethods

• (Luenberger, 1997) ⇒ David G. Luenberger. (1997). “Optimization by Vector Space Methods.” Wiley Professional. ISBN:047118117X

Subject Headings: Vector Space, Banach Space, Hilbert Space, Normed Space, Convex Set, Constrained Optimization Algorithm, Least-Squares Estimation.

Quotes

Book Overview

• 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.

Contents

• INTRODUCTION p.1
• LINEAR SPACES p.11
• HILBERT SPACE p.46
• APPROXIMATION p.55
• OTHER MINIMUM NORM PROBLEMS p.64
• LEAST-SQUARES ESTIMATION p.78
• DUAL SPACES p.103
• EXTENSION FORM OF THE HAHNBANACH p.110
• LINEAR OPERATORS AND ADJOINTS p.143
• ADJOINTS p.150
• OPTIMIZATION OF FUNCTIONALS p.169
• GLOBAL THEORY OF CONSTRAINED OPTIMIZATION p.213
• LOCAL THEORY OF CONSTRAINED OPTIMIZATION p.239
• OPTIMAL CONTROL THEORY p.254
• I0 ITERATIVE METHODS OF OPTIMIZATION p.271,

	Author	volume	Date Value	title	type	journal	titleUrl	doi	note	year
1997 OptimizationByVectorSpaceMethods	David G. Luenberger			Optimization by Vector Space Methods			http://books.google.com/books?id=lZU0CAH4RccC			1997