Demonstration: Newton's Method When There Are No Roots
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− | This Demonstration applies Newton's method to the equation $x^2+1=0$, illustrating that the arctangents of the iterates are uniformly distributed on the interval $(- | + | This Demonstration applies Newton's method to the equation $x^2+1=0$, illustrating that the arctangents of the iterates are uniformly distributed on the interval $(-\pi/2),\pi/2)$. |
Revision as of 20:12, 18 February 2015
This Demonstration applies Newton's method to the equation $x^2+1=0$, illustrating that the arctangents of the iterates are uniformly distributed on the interval $(-\pi/2),\pi/2)$.