New technique for solving univariate global optimization
Djamel Aaid, Amel Noui, Mohand Ouanes (2017)
Archivum Mathematicum
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In this paper, a new global optimization method is proposed for an optimization problem with twice differentiable objective function a single variable with box constraint. The method employs a difference of linear interpolant of the objective and a concave function, where the former is a continuous piecewise convex quadratic function underestimator. The main objectives of this research are to determine the value of the lower bound that does not need an iterative local optimizer. The...