Solve the following sets of linear equations utilizing the Successive-Over-Relaxation method. Take x1 = 1, x2 = 2, x3 = 1 as your starting points. Take the relaxation factor (@) as 1.1. Do the first two iterations explicitly by hand. State the absolute error for your solutions. Take 6 digits after decimal point in your calculations. (Use Gauss elimination method to find the exact solutions). Use Excel for further iterations (until the iteration repeats itself). Show that further iteration converges to exact values.

Transcribed Image Text:

X -4x, +x, =13 X +5x, – 7x, =-21 -3x, +x, +x; = -9 X -4x, +x, =13 X +5x, – 7x, =-21 -3x, +x, +x; = -9