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: Hardcover
• Language: English
• ISBN: 0792365615
• ISBN13: 9780792365617
• Release Date: October 2000
• Publisher: Springer
• Length: 510 Pages
• Weight: 2.01 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"