Optimization by Vector Space Methods

Luenberger, David G.

ISBN 10: 047155359X / ISBN 13: 9780471553595

Published by Wiley-Interscience, 1969

About this Item

Shelf and handling wear to cover and binding, with general signs of previous use. Wear commensurate with age and use. Former owner's name in ink across page block edges, otherwise clean and unmarked copy. Light scuffing and smudging to boards and spine strip. Secure packaging for safe delivery. 1.6. Seller Inventory # 1867575262

Bibliographic Details

Title: Optimization by Vector Space Methods

Publisher: Wiley-Interscience

Publication Date: 1969

Binding: Hardcover

Condition: Good

Dust Jacket Condition: No Jacket

About this title

Synopsis:

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.

From the Back Cover:

Unifies the field of optimization with a few geometric principles.

The number of books that can legitimately be called classics in their fields is small indeed, but David Luenberger′s Optimization by Vector Space Methods certainly qualifies. Not only does Luenberger clearly demonstrate that a large segment of the field of optimization can be effectively unified by a few geometric principles of linear vector space theory, but his methods have found applications quite removed from the engineering problems to which they were first applied. Nearly 30 years after its initial publication, this book is still among the most frequently cited sources in books and articles on financial optimization.

The book uses functional analysis ––the study of linear vector spaces ––to impose simple, intuitive interpretations on complex, infinite–dimensional problems. The early chapters offer an introduction to functional analysis, with applications to optimization. Topics addressed include linear space, Hilbert space, least–squares estimation, dual spaces, and linear operators and adjoints. Later chapters deal explicitly with optimization theory, discussing
∗ Optimization of functionals
∗ Global theory of constrained optimization
∗ Local theory of constrained optimization
∗ Iterative methods of optimization.

End–of–chapter problems constitute a major component of this book and come in two basic varieties. The first consists of miscellaneous mathematical problems and proofs that extend and supplement the theoretical material in the text; the second, optimization problems, illustrates further areas of application and helps the reader formulate and solve practical problems.

For professionals and graduate students in engineering, mathematics, operations research, economics, and business and finance, Optimization by Vector Space Methods is an indispensable source of problem–solving tools.