# Lagrange Multipliers

> Source: https://sukruyusufkaya.com/en/glossary/lagrange-carpanlari
> Updated: 2026-05-13T21:00:27.984Z
> Type: glossary
> Category: matematik-istatistik-optimizasyon
**TLDR:** A method used in constrained optimization to balance the objective function with the imposed constraints.

<p>The method of Lagrange multipliers is a classical yet powerful tool for solving constrained optimization problems. The key idea is to combine the objective function and constraints into a single structure in order to identify optimal points. It has wide applications in economics, physics, engineering, and machine learning. It is especially effective when constraints are a natural part of the problem. The Lagrange framework unifies the goals of “find the best” and “respect the rules” within the same mathematical structure.</p>