Optimization by Vector Space Methods

by David G. Luenberger

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.

Product Details

ISBN-13:	9780471181170
Publisher:	Wiley
Publication date:	01/23/1997
Series:	Professional Series
Edition description:	Revised ed.
Pages:	352
Product dimensions:	6.00(w) x 9.00(h) x 0.73(d)

About the Author

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.

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.

Indexes.