A SIMPLE PROOF OF THE LEVERRIER-FADDEEV CHARACTERISTIC POLYNOMIAL ALGORITHM

Authors
HOU SH
Citation
Sh. Hou, A SIMPLE PROOF OF THE LEVERRIER-FADDEEV CHARACTERISTIC POLYNOMIAL ALGORITHM, SIAM review (Print), 40(3), 1998, pp. 706-709
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM review (Print) → ACNP
ISSN journal
00361445
Volume
40
Issue
3
Year of publication
1998
Pages
706 - 709
Database
ISI
SICI code
0036-1445(1998)40:3<706:ASPOTL>2.0.ZU;2-I
Abstract
A simple formula is established that relates the trace of the resolven t with the characteristic polynomial of a matrix. This will lead to a novel and elegant proof of the recursive relations that compute the co efficients of the characteristic polynomial used in the Leverrier-Fadd eev method.