Classroom Note: A Simple Proof of the Leverrier--Faddeev Characteristic Polynomial Algorithm

  • Authors:

  • Shui-Hung Hou

  • Affiliations:

  • -

  • Venue:
  • SIAM Review
  • Year:
  • 1998

Quantified Score

Hi-index 0.00

Visualization

Abstract

A simple formula is established that relates the trace of the resolvent with the characteristic polynomial of a matrix. This will lead to a novel and elegant proof of the recursive relations that compute the coefficients of the characteristic polynomial used in the Leverrier--Faddeev method.