% 4-14-2008
% Iteration example

clear all;
close all;

x0 = 2;

% A few different ways to solve the same problem:
% Calculate the first iteration and then enter the loop
beta = 0.5;
x(1) = x0 + beta * sin(x0);

for i=2:50
    x(i) = x(i-1) + beta * sin(x(i-1));
end

% We can calculate a bunch of different iterations at once for differnt
% betas this way
beta = [0.1 0.6 3.0];
x = [2 2 2];

for j=1:3
    for i=2:51
        x(i,j) = x(i-1,j) + beta(j) * sin(x(i-1,j));
    end
end