Aids for the Evaluation of the Global Maxima of Continuous Functions.
Abstract
In the report the authors develop an algorithm for finding the global maxima f* of a function f(x) within a region R of the n dimensional space. The method is mainly concerned with finding the value of the global maximum f* = f(x*) and only provides approximate answers for the argument point, x*, where the maximum is attained. The present implementation is restricted to situations where f(x) can be represented as an n variable polynomial and R is the n dimensional hypercube. Generalizations are sketched. The technique is based on a refinement of a classical theorem due to Graeffe. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1974
- Accession Number
- AD0779323
Entities
People
- Herman Otto Hartley
- M. Ortiz
Organizations
- Texas A&M University