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Mathematics-Online lexicon:
Rational Functions of Matrices
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overview
If eigenvalue
of matrix
is not a pole of a given rational function
then
is a eigenvalue of
In particular,
is an eigenvalue of matrix power
and, provided that
is invertible,
is an eigenvalue of
.
(Authors: Burkhardt/Höllig/Hörner )
Annotation:
Proof Concerning Rational Functions of Matrices
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automatically generated 7/ 8/2004