Optimization by Vector Space Methods

Revised Auflage
ISBN: 978-0-471-18117-0
Verlag: Wiley

Buch, Englisch, 352 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 502 g

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.

Autoren/Hrsg.

Luenberger, David G

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Operations Research
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.