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Constrained Optimization and Image Space Analysis Volume 1: Separation of Sets and Optimality Conditions

Aus der Reihe Mathematical Concepts and Methods in Science and Engineering
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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

10.11.2010

Verlag

Springer Us

Seitenzahl

396

Maße (L/B/H)

24,8/16,5/2,3 cm

Gewicht

699 g

Auflage

Softcover reprint of hardcover 1st ed. 2005

Sprache

Englisch

ISBN

978-1-4419-3759-9

Beschreibung

Rezension

From the reviews:



"This is a very substantial and useful monograph … . it would be an excellent reference in a course at the graduate level in engineering or the advanced undergraduate level in mathematics, as well as for working mathematicians interested in optimization. This book is of unusually fine quality … it will amply repay the time required. A notable feature of this work is the depth and completeness of coverage of many of the topics. … Another aspect … is the extensive use of examples." (Stephen M. Robinson, SIAM Review, Vol. 48 (2), 2006)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

10.11.2010

Verlag

Springer Us

Seitenzahl

396

Maße (L/B/H)

24,8/16,5/2,3 cm

Gewicht

699 g

Auflage

Softcover reprint of hardcover 1st ed. 2005

Sprache

Englisch

ISBN

978-1-4419-3759-9

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Constrained Optimization and Image Space Analysis
  • Produktbild: Constrained Optimization and Image Space Analysis
  • Chapter 1. Introduction
    1.1. Constrained Extremum Problems
    1.2. Special Extremum Problems
    1.3. Variational Inequalities, Complernentarity Problems and Generalized Systems
    1.4. Optimal Design of an Underwater Pipeline
    1.5. Further Problems in Applied Mechanics
    1.6. Equilibrium Flows in a Network
    1.7. Testing Statistical Hypotheses
    1.8. Vector Problems from Industry
    1.9. Comments
    References
    Chapter 2. Elements of Convex Analysis and Separation
    2.1. Convex Sets and Cones
    2.2. Linear Support and Separation
    2.3. Convex Functions
    2.4. Some Extensions of Convexity
    2.5. Comments
    References
    Chapter 3. Introduction to Image Space Analysis
    3.1. Semidifferentiability
    3.2. Image Problem
    3.3. Stationarity
    3.4. Sonic Examples
    3.5. Comments
    References
    Chapter 4. Alternative and Separation
    4.1. Introduction
    4.2. Separation Functions
    4.3. Special Separation Functions
    4.4. A General Setting for a Theorem of the Alternative
    4.5. Special Theorems of the Alternative
    4.6. A Special Separation Theorem
    4.7. Theorems of the Alternative for Multifunctions
    4.8. Cone Multifunctions
    4.9. Systems of Intersection Type
    4.10. Comments
    References
    Chapter 5. Optimality Conditions. Preliminary Results
    5.1. Introduction
    5.2. Weak Separation and Sufficient Conditions
    5.3. Weak Separation and Necessary Conditioim
    5.4. Sonic Applications
    5.5. Reciprocal Problems
    5.6. Connections between Discrete and Continuous Problems
    5.7 Comments
    References
    Glossary of Notation
    Subject Index