Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects / Edition 1

Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects / Edition 1

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

ISBN-10: 0792365615

ISBN-13: 9780792365617

Pub. Date: 10/31/2000

Publisher: Springer US

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…  See more details below

Overview

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.

Product Details

ISBN-13:
9780792365617
Publisher:
Springer US
Publication date:
10/31/2000
Series:
Nonconvex Optimization and Its Applications (closed) Series, #47
Edition description:
2000
Pages:
510
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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.

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