ДВОЙСТВЕННЫЕ СИСТЕМЫ ОДНОРОДНЫХ ЛИНЕЙНЫХ УРАВНЕНИЙ

Translated title of the contribution: Dual systems of homogeneous linear equations

Research output: Contribution to journalArticle

Abstract

The notion of dual system of homogeneous linear algebraic equations is introduced. A modification of the Gaussian elimination method for the simultaneous solution of primal and dual systems is proposed. An algorithm for solving a homogeneous system of linear equations is validated. The algorithm is based on the technique of the dual representation of the polyhedral cone and, thus, is dual to the known Gauss-Jordan method.
Translated title of the contributionDual systems of homogeneous linear equations
Original languageRussian
Pages (from-to)48-53
Number of pages6
JournalТруды института математики и механики УрО РАН
Volume19
Issue number2
Publication statusPublished - 2013

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  • 27.41.00

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