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.
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页码：48 / 53
页数：6
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