Finding the Global Minimum of a Function of One Variable Using the Method of Constant Signed Higher Order Derivatives,

Abstract

A method for obtaining a global minimizer of the problem: minimize f(x) s.t. L equal to or less than X equal to or greater than U is presented when f(x) has kth order continuous derivatives. subintervals are found on which certain derivatives have constant sign. An upward process then finds all the zeros of the first derivative in the interval. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 09, 1979
Accession Number
ADA081491

Entities

People

  • Garth Philip McCormick

Organizations

  • George Washington University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Contracts
  • Convex Programming
  • Convex Sets
  • Engineering
  • Intervals
  • Iterations
  • Military Research
  • Nonlinear Programming
  • Optimization
  • Polynomials
  • Scalar Functions
  • Schools
  • Sequences
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Graph Algorithms and Convex Optimization.
  • Operations Research