Optimization Problems / by L. Collatz, W. Wetterling.
The German edition of this book, first published in 1966, has been quite popular; we did not, however, consider publishing an English edition because a number of excellent textbooks in this field already exist. In recent years, how ever, the wish was frequently expressed that, especially, the descri...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer US,
1975.
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| Series: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v. 17. |
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Table of Contents:
- I. Linear Optimization
- §1. Introduction
- §2. Linear Optimization and Polyhedra
- §3. Vertex Exchange and the Simplex Method
- §4. Algorithmic Implementation of the Simplex Method
- §5. Dual Linear Optimization Problems
- II. Convex Optimization
- §6. Introduction
- §7. A Characterization of Minimal Solutions for Convex Optimization
- §8. Convex Optimization for Differentiable Functions
- §9. Convex Optimization with Affine Linear Constraints
- §10. The Numerical Treatment of Convex Optimization Problems
- III. Quadratic Optimization
- §11. Introduction
- §12. The Kuhn-Tucker Theorem and Applications.
- §13. Duality for Quadratic Optimization
- §14. The Numerical Treatment of Quadratic Optimization Problems
- IV. Tchebychev Approximation and Optimization
- § 15. Introduction
- §16. Discrete Linear Tchebychev Approximation
- §17. Further Types of Approximation Problems
- V. Elements of Game Theory
- §18. Matrix Games (Two Person Zero Sum Games)
- §19. n-Person Games
- Problems.