Convergence of a Dual-Variable Vector Sequence in a Semi-Definite Programming Problem

  • Authors:
  • I. I. Dikin

  • Affiliations:
  • L. A. Melent'ev Institute of Energetic Systems, Siberian Department of the Russian Academy of Sciences, Irkutsk, Russia idikin@isem.sei.ink.ru

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2003

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Abstract

An iterative algorithm is proposed in the paper for determination of a feasible solution to a linear semi-definite programming problem. A basic result of convergence of the interior point method is proved. Two strategies of choosing a step value are considered.