ON THE KUHN-TUCKER THEOREM.

Abstract

The general programming problem considered has the form: minimize f(x) subject to g sub i(x) = o, i = 1,2,..., m. The regularity condition of Cottle is first generalized so that any linear system satisfies a (new) regularity condition. It is then proven that this regularity condition is actually a sufficient criterion for a certain weakened form of the Kuhn-Tucker constraint qualification property. Finally, a further generalization of the latter property is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0630119

Entities

People

  • Jean Abadie

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Computing-Related Activities
  • Linear Systems
  • Qualifications

Fields of Study

  • Mathematics

Readers

  • Mathematics or Statistics
  • Operations Research