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Examples in the theory of convergence of the affine scaling method
Authors:I I Dikin
Affiliation:(1) L. A. Melent’yev Institute of Energy Systems, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Abstract:Examples of homogeneous linear programming problems are investigated. The objective function of such a problem is not bounded below on a feasible set. A starting point is presented such that the affine scaling method generates a sequence of vectors that converges to zero. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 178–179, January–February 2006.
Keywords:linear programming  affine scaling method  convergence  starting point
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