Faddeev–LeVerrier algorithm: Difference between revisions

Revision as of 05:03, 22 June 2020

Revision as of 20:18, 29 November 2020

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::<math>(\lambda I-A) B = I ~ p(\lambda)</math>

and is thus proportional to the [[Resolvent formalism|resolvent]]

:<math>B = p(\lambda) \frac{I}-A)^{\lambda-1} I-A }~ p(\lambda) ~. </math>

It is evidently a matrix polynomial in {{math|''λ''}} of degree {{math|''n−1''}}. Thus,