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Cell["A New Standard Package for Global Optimization", "Subtitle"],
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Cell[TextData[StyleBox["Brett Champion\nWolfram Research\n\
brettc@wolfram.com", "Author"]], "Author"],
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" is a new standard add-on package for finding solutions to constrained and \
unconstrained global optimization problems. The package provides several \
derivative-free methods for finding global minima. This allows us to solve \
problems where the objective function is not differentiable (or even \
continuous.) The methods are robust enough to allow us to find global minima, \
and are not easily trapped by local minima.\n\nWe will discuss the user \
interface to ",
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", as well as detailing the methods and techologies used by ",
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". We will also demonstrate how ",
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"performs on several examples of varying complexity.\n\nFor an example, let \
us consider Rosenbrock's function in two dimensions, which has a minimum at \
",
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StyleBox["Mathematica", "TI"],
StyleBox[" has many functions for finding minima of a function, but none \
that are suitable for finding a constrained global minimum of a nonlinear \
objective function. ",
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StyleBox[" aims to fill that need by implementing several algorithms for \
finding global constrained optima. The available methods are flexible enough \
to cope with functions that are not differentiable or continuous, and are not \
easily trapped by local minima. \n\nNMinimize is intended to fill a gap in \
the group of optimization functions currently available in ",
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Cell[TextData[StyleBox["It should, however, be kept in mind that finding a \
global minimum, even without constraints, can be arbitrarily difficult, and \
so the methods used may fail. Frequently it may be useful to minimize the \
function several times, and take the best of the results. ",
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large set of points for a gene pool, and is frequently slower than the other \
methods, since it needs more function evaluations (one per gene in the gene \
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"Suppose we want to find the minimum of ",
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.2*