10809
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Location of the Zeros of a Polynomial with Positive Ordered Coefficients
Vanessa Botta and Evanize Rodrigues Castro
Continuity of Polynomials in the Complex Plane
Izidor Hafner
Polynomial and Derivative
Ruth Dover
A Fifth-Degree Polynomial and Its Derivatives
Charles Wells
Graphs of Taylor Polynomials
Abby Brown
Roots of the Derivatives of a Certain Real Polynomial in the Complex Plane
Liza Lawson and Bruce Torrence
Phase of a Complex Polynomial
Stephen Wolfram
The Eneström-Kakeya Bounds for Roots of a Polynomial with Positive Coefficients
Andrzej Kozlowski
Circle Images
Roman E. Maeder
The Real Graph of Quadratics, Cubics, and Quartics
Winston Alarcón-Athens (UCR, Costa Rica)
Related Topics
Calculus
Complex Analysis
Polynomials
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+