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Newton's Method

PostPosted: February 18th, 2012, 9:38 pm
by Jessica
Newton's Method

This is a method for approximating solutions to equations.

Image

The blue line is the tangent line at x[sub]0[/sub]. Where the line crosses the x-axis, it is much closer to the actual solution.

If x[sub]n[/sub] is an approximation of Image and if Image the next approximation is given by,
    Image