Abstract Convexity and Global Optimization
Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac complish a local...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer US
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Nonconvex Optimization and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. An Introduction to Abstract Convexity
- 3. Elements of Monotonic Analysis: Monotonic Functions
- 4. Application to Global Optimization: Lagrange and Penalty Functions
- 5. Elements of Star-Shaped Analysis
- 6. Supremal Generators and Their Applications
- 7. Further Abstract Convexity
- 8. Application to Global Optimization: Duality
- 9. Application to Global Optimization: Numerical Methods
- References