Gauss-Seidel Method (Matlab)

roam

I need to solve the following problem using Matlab

This is my code so far:

Code:

clear all
clc
clf
function x=GaussSeidel(A,b,y,N)
n = length(y);
for k = 1:N
    for i=1:n
        s=b(i);
        for j =1:i-1
            s=s-A(i,j)*y(j);
        end
        for j = i+1:n
            s=s-A(i,j)*y(j);
        end
        x(i)=s/A(i,i);
        x(i)=x(k);
    end
    y = x'
end

But I keep getting the following error:

Code:

Error: File: Untitled.m Line: 4 Column: 1
Function definitions are not permitted in this context.

Why am I getting this error? What do I need to do?

And my inputs would be:

Code:

A=[-5 0 2 0 -1 ;
    0 9 0 3 0 ; 
    2 0 5 0 2 ;
    0 -2 0 4 0 ;
    -1 0 7 0 7]
b = [8;4;-8;-4;0]
x0=[8;4;-8;-4;0]

For N, how do I know many iterates N are necessary for this problem?

Any help with the code is greatly appreciated.

jhae2.718

You're defining a function in a script file. In MATLAB, functions are defined in a separate file with the same name as the function.

Create a file GaussSeidel.m with the following:

Code:

functionx=GaussSeidel(A,b,y,N)
n = length(y);
for k = 1:N
    for i=1:n
        s=b(i);
        for j =1:i-1
            s=s-A(i,j)*y(j);
        end
        for j = i+1:n
            s=s-A(i,j)*y(j);
        end
        x(i)=s/A(i,i);
        x(i)=x(k);
    end
    y = x'
end

and a script file that calls the function.

beezey

I'm not familiar with matlab, but I believe this is an incorrect implementation of the Gauss-Seidel method. This looks like the Jacobi method to me.

I'm going to fool around with this and get back.

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beezey	I'm not familiar with matlab, but I believe this is an incorrect implementation of the Gauss-Seidel method. This looks like the Jacobi method to me. I'm going to fool around with this and get back.