# Hamilton-Jacobi-Bellman equation

> English word · Noun

## Definitions
1. A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function.

## Etymology
Named after William Rowan Hamilton, Carl Gustav Jacob Jacobi, and Richard E. Bellman.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/hamilton-jacobi-bellman-equation