ON SOME NONSTANDARD SEMI-INFINITE PROGRAMMING PROBLEMS

Abstract

Aspects of the duality theory for semi-infinite programming are here extended to fields with properties of non-Archimedean order. Emphasis is on nonstandard semi-infinite programming problems in Hilbert's Field. The ideas of regularization are generalized to include powers of the relative infinites in terms of the indeterminates.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1968
Accession Number
AD0673968

Entities

People

  • Abraham Charnes
  • K. O. Kortanek
  • William W. Cooper

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Computer Programming
  • Contracts
  • Equations
  • Inequalities
  • Linear Programming
  • Mathematics
  • Military Research
  • Numbers
  • Rational Numbers
  • Real Numbers
  • Security
  • Sequences
  • Simplex Method
  • Topology
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.