Halická, M.; Hamala, M. Duality of transformation functions in the interior point methods. (English) Zbl 0926.90076 Acta Math. Univ. Comen., New Ser. 65, No. 2, 229-245 (1996). Summary: In this paper a duality of transformation functions in the interior point method is treated. A dual pair of convex or linear programming problems is considered and the primal problem is transformed by the parametrized transformation function of a more general form than logarithmic is. The construction of the parametrized transformation function for the dual problem is carried out so that both transformation functions were dual. The result obtained explains the unlucid construction of dual transformation functions so far known as a special case of a simple general principle of constructing dual transformation functions. Cited in 1 Document MSC: 90C25 Convex programming 90C05 Linear programming 90C30 Nonlinear programming Keywords:linear programming; convex programming; interior point methods; transformation function; dual problem PDFBibTeX XMLCite \textit{M. Halická} and \textit{M. Hamala}, Acta Math. Univ. Comen., New Ser. 65, No. 2, 229--245 (1996; Zbl 0926.90076) Full Text: EuDML EMIS