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Remarks on Jordan Blocks

Let A be the irreducible Jordan block of size d and eigenvalue tex2html_wrap_inline1150, that is tex2html_wrap_inline1408 The resolvent of A is
eqnarray901
and in particular for tex2html_wrap_inline1412
equation915
Analytic functions of matrices are defined by Cauchy's formula
equation923
where tex2html_wrap_inline1414 is a contour which encircles the eigenvalues of A once, so that for the Jordan block tex2html_wrap_inline1418 we have
eqnarray931
In particular
equation945



Fri Jun 27 03:10:38 EDT 1997

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