Necessary and sufficient conditions of the extremum in the analytical optimization problems



Nefedov V. N.


The mathematical programming problem with equation type restrictions or without any restrictions is considered. It is assumed that in the neighbourhood of origin (which belongs to the admissible set) the objective function and functions in the restrictions are analytical. Some necessary and sufficient conditions of local minimum are suggested, which allow in many difficult for investigation cases give an answer on the question, whether the origin is the point of local minimum or not.


Mathematical programming problem; analytical problems; optimization; necessary and sufficient conditions of local minimum; polynomial forms.

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