On the Development of Optimization Theory.

Abstract

The method of Lagrange for finding extrema of functions subject to equality constraints was published in 1788 in the famous book Mecanique Analytique. The works of Karush, John, Kuhn and Tucker concerning optimization subject to inequality constraints appeared more than 150 years after that. The purpose of this paper is to call attention to important papers, published as contributions to mechanics, containing fundamental ideas concerning optimization theory. The most important works in this respect were done primarily by Fourier, Cournot, Farkas and further by Gauss, Ostrogradsky and Hamel. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA060618

Entities

People

  • Andras Prekopa

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Books
  • Capillary Electrophoresis
  • Computer Programming
  • Equations
  • Inequalities
  • Linear Programming
  • Mathematics
  • Mechanics
  • Military Research
  • New York
  • Nonlinear Programming
  • Operations Research
  • Optimization
  • Simplex Method
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Technical Research and Report Writing.