10054
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
Polynomial Roots in the Complex Plane
Faisal Mohamed
Cubic Equation
Eric W. Weisstein
Nine-Point Cubic
Ed Pegg Jr
Infinite Magic Elliptic Curves
Ed Pegg Jr
Circle Images
Roman E. Maeder
Simple Spline Curves
Richard Phillips and Rob Morris
Changing a Coefficient in Polynomials of Low Degree
Angela Sharp, Chad Pierson, and Joshua Fritz
Factoring Polynomials over Various Rings
Theodore S. Erickson (Wheeling Jesuit University)
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+