g = @(x) 1 + atan(x);
expected_fp = 2.1323;
tol = 1 / 10^10;
x0 = 2.4;
unit_test_equals("Homework #2 problem #5 fixed point is correct", ...
		 expected_fp, ...
		 fixed_point_method(g, tol, x0));


h = 0.5;
g1 = @(u) 1 + h*exp(-u(1)^2)/(1+u(2)^2);
g2 = @(u) 0.5 + h*atan(u(1)^2 + u(2)^2);
my_g = @(u) [g1(u), g2(u)];
tol = 1 / 10^9;
u0 = [1,1];
expected_fp = [1.0729, 1.0821];
unit_test_equals("Homework #3 problem #3i fixed point is correct", ...
		 expected_fp, ...
		 fixed_point_method(my_g, tol, u0));
