Aim of the applet

Solve equations systems by iterative methods.

Implemented methods: Jacobi, Gauss-Seidel and Relaxation.

Input data

• Coefficient matrix, A.
• The right side vector, b.
• Maximum number of steps.
• Tolerance.
• Initial approximation of the solution.
• The parameter "w" for the method of relaxation.

The Calculate button will make the resolution of the system by the methods of Jacobi, Gauss-Seidel and Relaxation.

The user may specify the order of the matrix, as well as create a random matrix A and a random right side vector b by clicking in "Random Matrix" button.

In the Options menu, can choose the size of cells.

Output data

The applet will show, for each method, the following information:

• The matrix of the method and the vector of the method.
• Intermediate result table and relative errors calculated with norm 2.
• Solution obtained.
• Graphical representation of error obtained for each method.

If any of the data has been entered wrong in the input matrix, this will be highlighted with a red border.

The applet also notify the user if you enter a value of "w" not between 0 and 2.

First steps

• Write the ecuations system:

		4x + 3y     = 24

		3x + 4y - z = 30

		   - y + 4z =-24

• Try with different errors and different number of iterations.
• Note that method converges faster to the solution.
• If the methods do not converge, what happens?.