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 contribution | Dual systems of homogeneous linear equations |
|---|---|
| Original language | Russian |
| Pages (from-to) | 48-53 |
| Number of pages | 6 |
| Journal | Труды института математики и механики УрО РАН |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - 2013 |
GRNTI
- 27.41.00
Level of Research Output
- VAK List