THE COMPOUNDING OF GRADIENT ERROR IN THE METHOD OF PARALLEL TANGENTS,

Abstract

The problem of determining by successive experi ments the input conditions which optimize a response is considered. An investigation is made of the role of observational error on the performance of two competing iterative methods. A general description of the contents is followed by a presentation of terminology used. The two path methods considered, steepest descent and steepest descent partan are described. A gradient error is introduced. Certain restric tive assumptions are made, and equations are developed which represent a response in terms of a surface, contour, starting point, and error. A criterion which measures performance is devel oped, and then averaged over a collection of starting points and errors for each competing method. The numerical results of representative inputs considered are given.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0418749

Entities

People

  • Oscar Kempthorne
  • Thomas E. Doerfler

Organizations

  • Iowa State University

Tags

DTIC Thesaurus Topics

  • Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research
  • Snow Cover Descriptors for Reptiles and Their Illustrations.