plot command is not work in Gauss Seidel Method
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A = [
1 0 -1 0 0 0 0
-1 1 1 0 0 0 0
0 -1 2 -1 0 0 0
0 -1 0 2 0 1 0
0 -1 -1 0 2 1 1
0 0 1 -1 0 2 -1
0 0 0 -1 1 -1 2
];
b = [0 0 0 0 0 20 0]';
x=[1 1 1 1 1 1 1];
n=size(x,1);
normVal=Inf;
tol=1e-5; itr=0;
%%Gauss Seidel Method
while normVal>tol
x_old=x;
for i=1:n
sigma=0;
for j=1:i-1
sigma=sigma+A(i,j)*x(j);
end
for j=i+1:n
sigma=sigma+A(i,j)*x_old(j);
end
x(i)=(1/A(i,i))*(b(i)-sigma);
end
itr=itr+1;
normVal=norm(x_old-x);
end
%%
fprintf('system solution : \n%f\n%f\n%f\n%f in %d iterations',x,itr);
hold on
plot(itr,x, '+')
xlim([0 10])
ylim([0 2])
hold off
end
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