%0 Journal Article %T Classifying extrema using intervals %A Marek W. Gutowski %J Computer Science %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/cs/0609082v1