Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects / Edition 1by Hubertus Th. Jongen, P. Jonker, F. Twilt
Pub. Date: 10/31/2000
Publisher: Springer US
Audience: Researchers and graduate/em>
The topology of global optimization is treated in detail (Morse Theory, Karush-Kuhn-Tucker points, Chebyshev Approximation). Moreover, three further basic subjects in nonlinear optimization are treated: Stability and sensitivity, gradient- and Newton's differential equations and, finally, parametric aspects.
Audience: Researchers and graduate students working in optimization and operations research.
- Springer US
- Publication date:
- Nonconvex Optimization and Its Applications (closed) Series, #47
- Edition description:
- Product dimensions:
- 6.10(w) x 9.25(h) x 0.04(d)
Table of ContentsPreface. 1. Introduction. 2. Morse theory (without constraints). 3. Morse theory (with constraints). 4. Chebyshev approximation, focal points. 5. Homology, Morse relations. 6. Stability of optimization problems. 7. Transversality. 8. Gradient Flows. 9. Newton flows. 10. Parametric aspects. References. Index. List of symbols.
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