eigenpolynomial

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noun

Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI.

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Meanings

nouneigenpolynomial (plural eigenpolynomials)

plural eigenpolynomials

  1. mathematicsGiven a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI.

    An important expression in the linear control theory is the eigenpolynomial of A.

    2013, Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Computer Algebra in Scientific Computing, page 317

Origin

From eigen- + polynomial.

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Cite this entry
APA

eigenpolynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/eigenpolynomial

MLA

“eigenpolynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/eigenpolynomial. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “eigenpolynomial,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/eigenpolynomial.

Source: eigenpolynomial on Wiktionary, CC BY-SA 4.0.