eigenpolynomial

English

Etymology

From eigen- +‎ polynomial.

Noun

eigenpolynomial (plural eigenpolynomials)

1. (mathematics) 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.
   • 2013, Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Computer Algebra in Scientific Computing, page 317:

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