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<head>
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<title>Generalized Rosenbrock's function</title>
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</head>
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<body><EFBFBD>
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<body>
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<h1 align="center">Generalized Rosenbrock's function</h1>
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<center>
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<img src="images/rosenbrocktex.jpg" width="500" height="78">
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</center>
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<p>
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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.
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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.
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<p>
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<img src="images/f85.jpg" border="2">
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<br>
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Rosenbrock's function within the co-domain -5 <= <i>x</i> <= 5.
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<p>
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The global optimum is located in a prabolic formed valley (among the curve x^2 = x_1^2), which has a flatten ground.
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The global optimum is located in a parabolic formed valley (among the curve x^2 = x_1^2), which has a flat ground.
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<br>
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<img src="images/f81.jpg" border="2">
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<br>
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