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 contribution||Dual systems of homogeneous linear equations|
|Number of pages||6|
|Journal||Труды института математики и механики УрО РАН|
|Publication status||Published - 2013|
Level of Research Output
- VAK List