<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
</head>
<body>
<p><font face="serif">So I didn't assign problem 1 in section 2.2 --
but it demonstrates a point that is shown in the illustration on
page 60 of your text -- there are generally MANY ways to come up
with a fixed point equation. In class I basically went over the
"what to do when you get stuck case" -- i.e. -- use Mathematica
to come up with an inverse. But in a lot of cases you can come
up with simpler versions of the function that provide you with a
fixed point function. <br>
</font></p>
<p><font face="serif">For example -- in problem 14.c in section 2.2,
you could use the fixed point equation x=sqrt(exp(x)/3) which
should find the root around 0.91 if you plug in values on the
domain they suggest. <br>
</font></p>
<p><font face="serif"></font><br>
</p>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Director of the Computational Science Program
Mercer University, Macon, GA 31207 (478) 301-5627
</pre>
</body>
</html>