Use the Gauss-Seidel method to approximate the fixed points in Exercise 7 to within 105, using the

Use the Gauss-Seidel method to approximate the fixed points in Exercise 7 to within 10ˆ’5, using the lˆž norm.
In exercise
a.

D = {(x1, x2, x3)t | ˆ’1 ‰¤ xi ‰¤ 1, i = 1, 2, 3 }
b.

D = {(x1, x2, x3)t | 0 ‰¤ x1 ‰¤ 1.5, i = 1, 2, 3 }
c. G(x1, x2, x3) = (1 ˆ’ cos(x1 x2 x3), 1 ˆ’ (1 ˆ’ x1)1/4 ˆ’ 0.05x23+ 0.15x3, x21
+ 0.1x22 ˆ’ 0.01x2 + 1)t;
D = {(x1, x2, x3)t | ˆ’ 0.1 ‰¤ x1 ‰¤ 0.1,ˆ’ 0.1 ‰¤ x2 ‰¤ 0.3, 0.5 ‰¤ x3 ‰¤ 1.1 }
d.

D = {(x1, x2, x3)t | ˆ’1 ‰¤ xi ‰¤ 1, i = 1, 2, 3 }

Transcribed Image Text:

G(x1,x2.5) _ (cos(x2-T3) +0.5 I ˊ丽v/r글 + 0.3 125-0.03,--e- 10:τ--3 G(X1,X2,X3) = ( cos(x2x3) + 6'-GYxi + sínx3 + 1.06-0.1, x112 60