Optimization by Vector Space Methods

Front Cover
John Wiley & Sons, 1968 - Mathematics - 326 pages
5 Reviews
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.
  

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Review: Optimization by Vector Space Methods

User Review  - Carol M. - Goodreads

A gem of a book! Could have been named "Optimization in Finite and Infinite Dimensions, with Introduction to Functional Analysis." Even if you're not in Operations Research or controls, get this book ... Read full review

Contents

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

GEOMETRIC FORM OF THE HAHNBANACH
129

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About the author (1968)

DAVID G. LUENBERGER is a professor in the School of Engineering at Stanford University. He has published four textbooks and over 70 technical papers. Professor Luenberger is a Fellow of the Institute of Electrical and Electronics Engineers and recipient of the 1990 Bode Lecture Award. His current research is mainly in investment science, economics, and planning.