4. Iterative Method
(b) Gauss-Seidel iteration
x1(k+1) = (7 + x2 (k) - x3 (k) )/4
x2(k+1) = (21 + 4x1(k+1) + x3(k) )/8
x3(k+1) = (15 + 2x1(k+1) - x2(k+1))/5
x1(1) = 1.750, x2(1) = 3.750, x3(1) = 2.950
x1(2) = 1.950, x2(2) = 3.969, x3(2) = 2.986
x1(3) = 1.995, x2(3) = 3.996, x3(3) = 2.999