Dual systems of homogeneous linear equations

被引：0

作者：

Astaf'ev, N. N. ^{[1
,2
,3
,4
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Moscow, Russia

[2] Russian Acad Sci, Ural Branch, Inst Math & Mech, Physicomath Sci, Moscow, Russia

[3] Ural Fed Univ, Ekaterinburg, Russia

[4] Ural Fed Univ, Physicomath Sci, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2013年 / 19卷 / 02期

关键词：

dual systems; linear algebraic equations; Gaussian elimination method; dual method; polyhedral cone;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：48 / 53

页数：6

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