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

by Hubertus Th. Jongen, Frank Twilt, Peter Jonker

Book Overview

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. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn- Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil-...

• Format: Paperback
• Language: English
• ISBN: 1461348870
• ISBN13: 9781461348870
• Release Date: January 2014
• Publisher: Springer
• Length: 510 Pages
• Weight: 1.61 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"