📜 Theorem, law or theory

Karush–Kuhn–Tucker conditions

Condiciones de Karush-Kuhn-Tucker

Date
1939 (Karush) / 1951 (Kuhn-Tucker) · confidence medium
Place
Chicago, Illinois, United States
Credited to
William Karush, Harold W. Kuhn y Albert W. Tucker
Field
Knowledge & symbols

What was discovered

First-order necessary conditions for a solution of a nonlinear optimization problem with inequality constraints to be optimal, generalizing the method of Lagrange multipliers.

What it led to

  • Nonlinear programming in engineering and economics
  • Constrained optimization algorithms (quadratic programming, optimal control)
  • Theoretical basis for machine learning methods such as support vector machines

Links

Sources✓ verified 2026-09-28