Nonlinear Optimization in IRN: I. Morse Theory, Chebyshev Approximation (Methoden und Verfahren der mathematischen Physik) - Softcover

Jongen, Hubertus Th.; Jonker, Peter; Twilt, Frank

 
9783820479034: Nonlinear Optimization in IRN: I. Morse Theory, Chebyshev Approximation (Methoden und Verfahren der mathematischen Physik)

Synopsis

In this first volume manifolds with boundary and critical point theory play an important role. We focus our attention to topological aspects in nonlinear optimization. In this way, we do not treat numerical and algorithmic features; however, we believe that the present work will provide a good insight into nonlinear phenomenae and that it will be helpful in order to device computational strategies towards global optimization. In order to underline the geometry of our analysis, many figures are included. In a second volume, we treat structural stability, transversality, (gradient-, Newton-)flows and parametric aspects.

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Review

«It is an enrichment of the literature in the field of nonlinear optimization.» (M. Borchardt - K.-H. Elster, Optimization)

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