Gauss-Seidel iterval method using Matlab

In summary, the Gauss-Seidel interval method is an iterative algorithm that is used to solve systems of linear equations. It works by repeatedly updating the values of the unknown variables in a system of equations until they converge to a solution. This method is generally faster and more efficient than other methods, and it does not require storing a large matrix of coefficients. However, it may not always converge to a solution and may need to be modified or replaced with a different method in certain cases. To implement this method using Matlab, you can use the built-in function <code>gaussseidel</code> or write your own code using a <code>while</code> loop.
  • #1
Austris
1
0
Hello.

I am new in matlab. And I wonder how to solve equations using gauss-seidel iteration method.
Theoreticaly I understand how this method is working, but can't get how write script in matlab.

It can be great if somebody can give a explanation for this problem.
 
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  • #2
Well, what have you done so far? Can you make a jacobi method?
 

Related to Gauss-Seidel iterval method using Matlab

What is the Gauss-Seidel interval method?

The Gauss-Seidel interval method is an iterative algorithm used to solve systems of linear equations. It is an improvement on the Gauss-Jordan elimination method, which involves repeatedly performing the forward and backward substitution steps until a solution is reached.

How does the Gauss-Seidel interval method work?

The Gauss-Seidel interval method works by repeatedly updating the values of the unknown variables in a system of linear equations. It starts with an initial guess for the variables, and then uses these values to update the variables one at a time. This process is repeated until the values of the variables converge to a solution.

What are the advantages of using the Gauss-Seidel interval method?

The Gauss-Seidel interval method has several advantages over other methods for solving linear equations. It is generally faster and more efficient, especially for systems with a large number of equations. It also does not require storing a large matrix of coefficients, making it more memory efficient.

What are the limitations of the Gauss-Seidel interval method?

One limitation of the Gauss-Seidel interval method is that it may not always converge to a solution. This can happen if the system of equations is ill-conditioned or if the initial guess is too far from the actual solution. In these cases, the method may need to be modified or a different method may need to be used.

How can I implement the Gauss-Seidel interval method using Matlab?

To implement the Gauss-Seidel interval method using Matlab, you can use the built-in function gaussseidel. This function takes as inputs the system of equations and an initial guess for the variables, and returns the solution. Alternatively, you can write your own code using a while loop to iteratively update the variable values until they converge to a solution.

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