Sylvester's formula

proper noun

A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A.

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Meanings

proper noun
  1. mathematicsA formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A.
  2. geometryA particular interpretation of the sum of three pairwise distinct vectors of equal length in the context of triangle geometry.

Origin

Named after James Joseph Sylvester.

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Cite this entry
APA

Sylvester's formula. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Sylvester's%20formula

MLA

“Sylvester's formula.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sylvester's%20formula. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sylvester's formula,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Sylvester's%20formula.

Source: Sylvester's formula on Wiktionary, CC BY-SA 4.0.