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eigenpolynomial

eigenpolynomial 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.

Noun

eigenpolynomial (plural eigenpolynomials)

  1. 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.
    • 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

Forms of eigenpolynomial

pluraleigenpolynomials

Origin of eigenpolynomial

From eigen- + polynomial.

Questions about eigenpolynomial

What does eigenpolynomial mean?
Eigenpolynomial means 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.
What part of speech is eigenpolynomial?
Eigenpolynomial is a noun.
What is the plural of eigenpolynomial?
The plural of eigenpolynomial is eigenpolynomials.

Words near eigenpolynomial in the dictionary

  1. eigenpictures
  2. eigenplane
  3. eigenplanes
  4. eigenpolarization
  5. eigenpolarizations
  6. eigenpolynomial
  7. eigenpolynomials
  8. eigenpotential
  9. eigenpotentials
  10. eigenproblem
  11. eigenproblems

Source and license

Adapted from Wiktionary: eigenpolynomial (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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