English Explanatory Dictionary

characteristic polynomial

English dictionary entry

Meanings

noun
  1. The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
  2. A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).

Word forms

characteristic polynomial characteristic polynomials

Related words

characteristic equation characteristic root characteristic vector eigenvalue eigenvector minimal polynomial
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