Numerical Efficiency of Semidefinite Optimization Methods

Anatoliy I. Kosolap; Anastasiya S.  Peretyatko

doi:10.1615/JAutomatInfScien.v46.i4.20

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

Editor associados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

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Numerical Efficiency of Semidefinite Optimization Methods

Volume 46, Edição 4, 2014, pp. 9-19

DOI: 10.1615/JAutomatInfScien.v46.i4.20

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Anatoliy I. Kosolap
Ukrainian State Chemical Engineering University, Dnepropetrovsk

Anastasiya S. Peretyatko
Ukrainian State Chemical Engineering University, Dnepropetrovsk

RESUMO

Problems of semidefinite optimization and methods for their solving are under consideration. We proposed new generalized simplex method for solving problems of semidefinite optimization on the basis of approximation of cone of semidefinite matrixes by sum of matrixes with rank equal to unit. Comparative numerical experiments confirm efficiency of semidefinite simplex method.

Palavras-chave: of semidefinite optimization, solving methods, new generalized simplex method, comparative numerical examples, efficiency

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