Some corrections in the HTML.

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Marcel Kronfeld
2008-03-27 14:52:43 +00:00
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<head>
<title>Generalized Rosenbrock's function</title>
</head>
<body><EFBFBD>
<body>
<h1 align="center">Generalized Rosenbrock's function</h1>
<center>
<img src="images/rosenbrocktex.jpg" width="500" height="78">
</center>
<p>
This function i unimodal and continuous, but the global optimum is hard to find, because of independence through the term (<i>x</i>_(<i>i</i>+1) - <i>x_i</i>*<i>x_i</i>)^2 between contiguous parameters.
This function is unimodal and continuous, but the global optimum is hard to find, because of independence through the term (<i>x</i>_(<i>i</i>+1) - <i>x_i</i>*<i>x_i</i>)^2 between contiguous parameters.
<p>
<img src="images/f85.jpg" border="2">
<br>
Rosenbrock's function within the co-domain -5 <= <i>x</i> <= 5.
<p>
The global optimum is located in a prabolic formed valley (among the curve x^2 = x_1^2), which has a flatten ground.
The global optimum is located in a parabolic formed valley (among the curve x^2 = x_1^2), which has a flat ground.
<br>
<img src="images/f81.jpg" border="2">
<br>