A Comparison of Two Alternative Unconstrained Non-Linear Optimization Techniques.

Abstract

Two alternative methods for optimizing an unconstrained non-linear function are investigated and compared. The investigations are made subject to a restriction as to the number of function evaluations available to conduct the optimization procedures. Powell's method of conjugate directions is employed as the direct search method and is considered the reference method. The alternate method is based on fitting a quadratic surface to the available function evaluations and optimizing over the resulting fitted surface. The test functions considered in the investigation were limited to unimodal functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0743705

Entities

People

  • John Anthony Murray

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Convex Programming
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Optimization
  • Test And Evaluation

Readers

  • Approximation Theory.
  • Operations Research