Optimization by Vector Space Methods

Front Cover
John Wiley & Sons, Jan 23, 1997 - Technology & Engineering - 352 pages
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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Contents

LINEAR SPACES
11
2
17
HILBERT SPACE
46
OTHER MINIMUM NORM PROBLEMS
64
LEASTSQUARES ESTIMATION
78
1
103
GEOMETRIC FORM OF THE HAHNBANACH
129
LINEAR OPERATORS AND ADJOINTS
143
ADJOINTS
150
OPTIMIZATION IN HILBERT SPACE
160
OPTIMIZATION OF FUNCTIONALS
169
GLOBAL THEORY OF CONSTRAINED OPTIMIZATION
213
LOCAL THEORY OF CONSTRAINED OPTIMIZATION
239
5
253
ITERATIVE METHODS OF OPTIMIZATION
271
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About the author (1997)

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.

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