Necessary conditions of extremum, penalty functions and regularity

  • B. N. Pshenichny Ин-т кибернетики АН Украины, Киев

Abstract

General conditions for regularity of a point relative to a system of nonlinear equations are stated. It is shown that if the regularity conditions are fulfilled, the general problem of mathematical programming could be reduced to the minimization of a nonsmooth penalty function and the necessary conditions for the extremum could be stated in the most general form.

References

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Published
07.07.1992
How to Cite
Pshenichny , B. N. “Necessary Conditions of Extremum, Penalty Functions and Regularity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 6, July 1992, pp. 805-12, https://umj.imath.kiev.ua/index.php/umj/article/view/8013.
Section
Research articles