An algorithm for constrained global optimization of multivariate polynomials using the Bernstein form and John optimality conditions

Author:

Nataraj P. S. V.,Arounassalame M.

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research,Computer Science Applications,Information Systems,Management Information Systems

Reference21 articles.

1. John, F.: Extremum problems with inequalities as side conditions. In: Friedrichs, K.O., Neugebauer, O.E., Stoker, J.J. (eds.) Studies and Essays. Courant Anniversary Volume, New York (1948)

2. Hansen, E., Walster, G.W.: Global Optimization Using Interval Analysis. Marcel Dekker, Inc., New York, USA (2004)

3. Hansen, E., Walster, G.W.: Bounds for Lagrange multiplier and optimal points. Computers Math. Applic. 25, 59–69 (1993)

4. Ratschek, H., Rokne, J.: Computer Methods for the Range of Functions. Ellis Horwood Limited Publishers, Chichester, England (1984)

5. Stahl. V.: Interval methods for bounding the range of polynomials and solving systems of nonlinear equations, Ph.D. dissertation. University of Linz, Austria, 2006.

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