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<a name="Module:Scientific.Functions.FindRoot"><h1>Module Scientific.Functions.FindRoot</h1></a>
<hr width=70%>
<h2>Functions</h2>
<ul>
<li> <p>
<a name="Function:Scientific.Functions.FindRoot.newtonRaphson"><b><i>newtonRaphson</i></b>(<i>function</i>, <i>lox</i>, <i>hix</i>, <i>xacc</i>)</a><br>
</p>
<p>Finds the root of <i>function</i> which is bracketed by values
<i>lox</i> and <i>hix</i> to an accuracy of +/- <i>xacc</i>. The algorithm
used is a safe version of Newton-Raphson (see page 366 of NR in
C, 2ed). <i>function</i> must be a function of one variable, and may
only use operations defined for the DerivVar objects in the
module FirstDerivatives.</p>
Example:
<pre>
from Scientific.Functions.FindRoot import newtonRaphson
from math import pi
def func(x):
return (2*x*cos(x) - sin(x))*cos(x) - x + pi/4.0
newtonRaphson(func, 0.0, 1.0, 1.0e-12)
</pre>
<p> yields <tt>0.952847864655</tt>.
</p></ul>
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