MATLAB: How to change this iteration to a for loop version

Question

for k = 1:500
    xk = kron(W,I)*x(k-1)-alpha*v(k-1);
    vk= kron(W,I)*v(k-1)+ tilH*xk-tilH*x(k-1);
end

Answer 1

 [x , v] = deal(cell(500, 1));
 x{1} = kron(W,I)*x0-alpha*v0;
 v{1} = kron(W,I)*v0+ tilH*x{1}-tilH*x0;
 for k = 2:500
     x{k} = kron(W,I)*x{k-1}-alpha*v{k-1};
     v{k}= kron(W,I)*v{k-1}+ tilH*x{k}-tilH*x{k-1};
 end
 celldisp(x)