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Nonlinear optimization in finite dimensions : Morse theory, Chebyshev approximation, transversality, flows, parametric aspects

Author: H Th Jongen; P Jonker; F Twilt
Publisher: Dordrecht ; Boston : Kluwer Academic, ©2000.
Series: Nonconvex optimization and its applications, v. 47.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H Th Jongen; P Jonker; F Twilt
ISBN: 0792365615 9780792365617
OCLC Number: 44681820
Description: x, 510 pages : illustrations ; 25 cm.
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.
Series Title: Nonconvex optimization and its applications, v. 47.
Responsibility: by Hubertus Th. Jongen and Peter Jonker and Frank Twilt.

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