Special Nonlinear Optimization Techniques.

Abstract

This thesis extends the work of Leighton and Jones which takes functions that satisfy special types of differential equations and determines an interval on which the functions either have zeros or attain bounded values. Theorems for locating zeros are proved for functions of a single variable and functions of several variables with illustrative examples. The applications of matrix equations to constrained optimization problems are described. An algorithm for random search technique for the general optimization problem is presented with a FORTRAN V program and test problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA141097

Entities

People

  • A. M. Ragab

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computer Programming
  • Computer Programs
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Evolutionary Algorithms
  • Integer Programming
  • Intervals
  • Linear Programming
  • Mathematical Programming
  • Nonlinear Programming
  • Operations Research
  • Optimization
  • Simplex Method

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research