Titlebook: Nonlinear Optimization in Finite Dimensions; Morse Theory, Chebys Hubertus Th. Jongen,Peter Jonker,Frank Twilt Book 2000 Springer Science+B

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Morse theory (without constraints),In this chapter we make more precise some of the intuitive ideas on Morse theory as exposured in Chapter 1.

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Stability of optimization problems,In Section 4.1 we studied the dependence of nondegenerate critical points and their values on a finite number of parameters. This was done in order to describe the change of the extremal set (value) of the error function in Chebyshev approximation problems.

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Gradient Flows,Descent methods in optimization for finding a local minimum of a function . ∈ .. (ℝ., ℝ) are usually based on gradient techniques.

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Newton flows,Let . be a smooth mapping from ℝ. to ℝ.; . ≥ 2.

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978-1-4613-4887-0Springer Science+Business Media Dordrecht 2000

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Nonlinear Optimization in Finite Dimensions978-1-4615-0017-9Series ISSN 1571-568X

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