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+<html>
+<head>
+<title>
+Netlab Reference Manual demopt1
+</title>
+</head>
+<body>
+<H1> demopt1
+</H1>
+<h2>
+Purpose
+</h2>
+Demonstrate different optimisers on Rosenbrock's function.
+
+<p><h2>
+Synopsis
+</h2>
+<PRE>
+demopt1
+demopt1(xinit)
+</PRE>
+
+
+<p><h2>
+Description
+</h2>
+The four general optimisers (quasi-Newton, conjugate gradients, 
+scaled conjugate gradients, and gradient descent) are applied to
+the minimisation of Rosenbrock's well known `banana' function.
+Each optimiser is run for at most 100 cycles, and a stopping
+criterion of 1.0e-4 is used for both position and function value.
+At the end, the trajectory of each algorithm is shown on a contour
+plot of the function.
+
+<p><CODE>demopt1(xinit)</CODE> allows the user to specify a row vector with
+two columns as the starting point.  The default is the point [-1 1].
+Note that the contour plot has an x range of [-1.5, 1.5] and a y
+range of [-0.5, 2.1], so it is best to choose a starting point in the
+same region.
+
+<p><h2>
+See Also
+</h2>
+<CODE><a href="conjgrad.htm">conjgrad</a></CODE>, <CODE><a href="graddesc.htm">graddesc</a></CODE>, <CODE><a href="quasinew.htm">quasinew</a></CODE>, <CODE><a href="scg.htm">scg</a></CODE>, <CODE><a href="rosen.htm">rosen</a></CODE>, <CODE><a href="rosegrad.htm">rosegrad</a></CODE><hr>
+<b>Pages:</b>
+<a href="index.htm">Index</a>
+<hr>
+<p>Copyright (c) Ian T Nabney (1996-9)
+
+
+</body>
+</html>
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