Faddeev–LeVerrier algorithm: Difference between revisions

Revision as of 04:21, 24 December 2019

Revision as of 05:03, 22 June 2020

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==An equivalent but distinct expression==

A compact determinant of an {{mvar|m}}×{{mvar|m}}-matrix solution for the above Jacobi's formula may alternatively determine the coefficients {{mvar|c}},<ref>Brown, Lowell S. (1994). ''Quantum Field Theory'', Cambridge University Press. {{ISBN|978-0-521-46946-3}}, p. 54; Also see, Curtright, T. L. and, Fairlie, D. B. and Alshal, H. (2012). "A Galileon Primer", arXiv:1212.6972 , section 3.</ref><ref>{{Cite book|title=Methods of Modern Mathematical Physics|last=Reed|first=M.|last2=Simon|first2=B.|publisher=ACADEMIC PRESS, INC.|year=1978|isbn=0-12-585004-2|volume=Vol. 4 Analysis of Operators|___location=USA|pages=323-333, 340, 343}}</ref>

:<math>c_{n-m} = \frac{(-1)^m}{m!}