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Marcel Kronfeld
2007-12-11 16:38:11 +00:00
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<html>
<head>
<title>Schwefel's double sum</title>
</head>
<body><EFBFBD>
<h1 align="center">Schwefels double sum</h1>
<center>
<img src="images/f2tex.jpg" width="220" height="102" border="0" align="center">
</center>
<p>
Schwefel's double sum is a quadratic minimization problem which difficulty increases by the dimension <i>n</i> in <i>O(n<>)</i>. It is used for analysis of correlating mutations.
<p>
It possesses specific symmetrical properties:<br>
<img src="images/schwefelsymmetrie.jpg" width="500" height="104" border="0" align="middle">
<p>
Its minimum is located at: <i>f(x)</i>=<i>f</i>([0, 0, ... , 0])=0
<p>
<img src="images/f2.jpg" width="480" height="360" border="2" align="middle">
<hr>
More information about Schwefel's double sum can be found at:
<p>
Hans Paul Schwefel. <i>Evolution and optimum seeking.</i> Sixth-Generation Computer Technology Series. John Wiley & Sons, INC., 1995.
</body>
</html>