How do I use a for loop?

Hello, I'm currently trying to make an approximation method in matlab, and this is what I have currently:

function T = Dog(A,S)
L=randi([-9,9],3,1);
H=L/norm(L);
O=(inv((A-(A(3,3)*eye(3)))))*(H);
Y=O/norm(O);
G=(inv((A-(A(3,3)*eye(3)))))*(Y);
D=G/norm(G);
F=(inv((A-(A(3,3)*eye(3)))))*(D);
R=F/norm(F);
W=(inv((A-(A(3,3)*eye(3)))))*(R);
X=W/norm(W);
V=(inv((A-(A(3,3)*eye(3)))))*(X);
K=V/norm(V);
N=(K.*K)./(K.*V);
T=N+S;
end

Now I was wondering is there someway of using a for loop from lines 3 to 13, so that instead of having to change the name of the variable each time it would simply replace it with with the one that came before it?

[James Pain]

I had the Approximation method wrong originally, but I've now edited the question properly.

Answer 1

[Thorsten]

F=randn(3,1)./W;
for i = 1:5
  Q = inv(A - S*eye(3))*F;
  F = W./Q;
  W = Q;
end
J = (F.*F)./(Q.*F);
T = J + S;

[James Pain]

That worked perfectly, however I just realized I got the approximation method wrong, I'll edit the question in a few minutes to what it should be.

[Jan]

@James: The reply remains almost the same. Can you apply the required changes by your own?

You can create C = A - S*eye(3) once before the loop. Then for numerical stability replace the explicit inversion by:

Q = C \ F;

[James Pain]

Your Right, I've figured out how to do it, cheers