# On solving general reverse convex programming problems by a sequence of linear programs and line searches

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## Abstract

Many multiextremal global optimization problems can be formulated as problems of minimizing a linear function over the intersection of a convex set with the complement of a convex set (so-called canonical d.c. programs or general reverse convex programming problems). In this paper it is shown that these general reverse convex programming problems can be solved by a sequence of linear programs and univariate convex minimization problems (line searches).

## Keywords

Linear Function Global Optimization Programming Problem Minimization Problem Line Search
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© J.C. Baltzer A.G. Scientific Publishing Company 1990