Estimating convexifiers in continuous optimization

نویسندگان

  • Sanjo Zlobec
  • S. Zlobec
چکیده

Every function of several variables with the continuous second derivative can be convexified (i.e., made convex) by adding to it a quadratic “convexifier”. In this paper we give simple estimates on the bounds of convexifiers. Using the idea of convexification, many problems in applied mathematics can be reduced to convex mathematical programming models. This is illustrated here for nonlinear programs and systems of nonlinear equations.

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تاریخ انتشار 2003