Faddeev–LeVerrier algorithm: Difference between revisions

Revision as of 14:55, 19 October 2017

Revision as of 18:03, 3 January 2018

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::<math>c_{n-3}=- \tfrac{1}{6}\Bigl( (\operatorname{tr}A)^3-3\operatorname{tr}(A^2)(\operatorname{tr}A)+2\operatorname{tr}(A^3)\Bigr)=-\frac{1}{3}(c_n \mathrm{tr} A^3+c_{n-1} \mathrm{tr} A^2 +c_{n-2}\mathrm{tr} A); </math>

etc.,<ref>Zadeh, Lotfi A. and Desoer, Charles A. (1963, 2008). ''Linear System Theory: The State Space Approach'' (Mc Graw-Hill; Dover Civil and Mechanical Engineering) {{ISBN|9780486466637}} , pp 303&ndash;305;

</ref><ref>Abdeljaoued, Jounaidi and Lombardi, Henri (2004). ''Méthodes matricielles - Introduction à la complexité algébrique'',

(Mathématiques et Applications, 42) Springer, {{ISBN|3540202471}} .</ref>

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