Gauss-Seidel method is an iterative algorithm used to solve a system of linear equations. It is an improvement over the Gauss-Jordan elimination method and is commonly used in scientific and engineering applications.
The Gauss-Seidel method starts with an initial guess for the solution of the system of equations. It then uses this guess to find a better estimate for the solution. This process is repeated until the desired level of accuracy is achieved.
The Gauss-Seidel method can be faster and more efficient than other methods for solving systems of linear equations. It also allows for the solution of larger systems since it does not require storing the entire matrix at once.
No, Gauss-Seidel method can only be used for solving linear systems of equations. For non-linear systems, other methods such as Newton's method or the Broyden method can be used.
In MATLAB, the Gauss-Seidel method can be implemented using a loop that updates the solution vector based on the previous iteration's values. The code should also include convergence criteria to determine when the desired accuracy has been achieved.