We describe a new approach for the classical problem of solving ordinary systems of linear equations with rectangular (or singular) coefficient matrices. Using the complex Kronecker canonical form, the solution is analytically derived. This approach succeeds in decreasing the importance of arbitrary-unknown elements. More over, we have identified the necessary and required mathematical condition in order to be able to obtain the solutions of the subject system.
|Number of pages||16|
|Journal||Neural, Parallel and Scientific Computations|
|Publication status||Published - Mar 2009|
- Linear Singular Systems
- Matrix Pencil Theory