Classifying extrema using intervals

Computer Science – Mathematical Software

Scientific paper

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LaTeX, 7 pages, no figures

Scientific paper

We present a straightforward and verified method of deciding whether the
n-dimensional point x (n>=1), such that \nabla f(x)=0, is the local minimizer,
maximizer or just a saddle point of a real-valued function f.
The method scales linearly with dimensionality of the problem and never
produces false results.

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