Hamilton-Jacobi-Bellman equation

noun

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

Similar
HJB equation
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Meanings

nounHamilton-Jacobi-Bellman equation (plural Hamilton-Jacobi-Bellman equations)

plural Hamilton-Jacobi-Bellman equations

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

    Synonyms: HJB equation

Synonyms & antonyms

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

Similar
HJB equation

Origin

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

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Cite this entry
APA

Hamilton-Jacobi-Bellman equation. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Hamilton-Jacobi-Bellman%20equation

MLA

“Hamilton-Jacobi-Bellman equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hamilton-Jacobi-Bellman%20equation. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hamilton-Jacobi-Bellman equation,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Hamilton-Jacobi-Bellman%20equation.

Source: Hamilton-Jacobi-Bellman equation on Wiktionary, CC BY-SA 4.0.