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Zeros of a Perturbed Polynomial
Define the polynomials
and
,
, the perturbed polynomial of
.
The zeros of
and
are shown by black and red points, respectively.
The zeros of
lie on the unit circle and the zeros of
lie inside the unit circle when
.
Contributed by:
Vanessa Botta
and
Messias Meneguette
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Polynomial
(
Wolfram
MathWorld
)
Root
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Zeros of a Perturbed Polynomial
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ZerosOfAPerturbedPolynomial/
Contributed by:
Vanessa Botta
and
Messias Meneguette
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