Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows,...

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Hubertus Th. Jongen P. Jonker

Nonlinear Optimization in Finite Dimensions

Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects

Hubertus Th. Jongen, P. Jonker, F. Twilt

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English

Kluwer Academic Publishers
31 October 2000

Optimisation; Applied mathematics; Aspect programming & AOP

Series: Nonconvex Optimization and Its Applications

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.

By: Hubertus Th. Jongen, P. Jonker, F. Twilt
Imprint: Kluwer Academic Publishers
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
Edition: 2000 ed.
Volume: 47
Dimensions: Height: 235mm, Width: 155mm, Spine: 28mm
Weight: 2.010kg
ISBN: 9780792365617
ISBN 10: 0792365615
Series: Nonconvex Optimization and Its Applications
Pages: 510
Publication Date: 31 October 2000
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Preface. 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.