| 1. | By evaluating the dot products above the following system of equations results.
|
| 2. | The system of equations is closed through the description of the waves.
|
| 3. | Usually, it is not possible to solve this system of equations directly.
|
| 4. | Example of the solution set of general parameter dependent system of equations
|
| 5. | So there is a unique solution to the original system of equations.
|
| 6. | Solving systems of equations over Z, uses a modified form Gaussian elimination.
|
| 7. | They have also been developed for solving nonlinear systems of equations.
|
| 8. | However, there are also systems of equations which do not have any solution.
|
| 9. | A system of equations would have several points of intersection forming a polygon.
|
| 10. | This method uses the Jacobian matrix of the system of equations.
|