11562
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Newton Flows of Polynomials
This demonstrates Newton flow of a cubic polynomial. Given a polynomial
, the Newton flow of this polynomial is formed by the solution curves of the differential equation
. The red points are the roots of the polynomial.
Contributed by:
Michael Trott
SNAPSHOTS
DETAILS
c
_{k}
— coefficients of the cubic polynomial
RELATED LINKS
Newtonian Vector Field
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Newton Flows of Polynomials
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NewtonFlowsOfPolynomials/
Contributed by:
Michael Trott
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
Root Plot of a Polynomial Class
Ed Pegg Jr
Annotated Quadratic Polynomial
Stephen Wolfram
Rational Roots of a Polynomial
Izidor Hafner
Discriminant of a Polynomial
Izidor Hafner
Polynomial Roots in the Complex Plane
Faisal Mohamed
How the Roots of a Polynomial Depend on Its Constant Coefficient
Izidor Hafner
Cubic Equation
Eric W. Weisstein
Changing a Coefficient in Polynomials of Low Degree
Angela Sharp, Chad Pierson, and Joshua Fritz
Nine-Point Cubic
Ed Pegg Jr
Infinite Magic Elliptic Curves
Ed Pegg Jr
Related Topics
Algebra
Algebraic Curves
Polynomials
Vector Fields
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+