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 $(-(\pi/2),\pi/2)$.
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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 $(-\pi/2),\pi/2)$.

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 $(-\pi/2),\pi/2)$.

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