Hessian matrix

noun

The square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.

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Meanings

nounHessian matrix (plural Hessian matrices or Hessian matrixes)

plural Hessian matrices · plural Hessian matrixes

  1. mathematicsThe square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.

Origin

Named after German mathematician Ludwig Otto Hesse.

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Translations

Finnish Hessen matriisi
  • Hessen matriisitype of matrix
German Hesse-Matrix
  • Hesse-Matrixtype of matrix
Portuguese matriz Hessiana
  • matriz Hessianatype of matrix
Romanian matrice Hessiană
  • matrice Hessianătype of matrix
Cite this entry
APA

Hessian matrix. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hessian%20matrix

MLA

“Hessian matrix.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hessian%20matrix. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hessian matrix,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hessian%20matrix.

Source: Hessian matrix on Wiktionary, CC BY-SA 4.0.