# Approximate solutions to the following linear systems Ax = b to within 105 in the l norm.

## Question:

(i)

and

b = (1.902207, 1.051143, 1.175689, 3.480083, 0.819600,−0.264419, − 0.412789, 1.175689, 0.913337,−0.150209,−0.264419, 1.051143,1.966694, 0.913337, 0.819600, 1.902207)t

(ii)

and

b = (1, 0,−1, 0, 2, 1, 0,−1, 0, 2, 1, 0,−1, 0, 2, 1, 0,−1, 0, 2, 1, 0,−1, 0, 2)t

(iii)

And bi = 1.5i − 6, for each i = 1, 2, . . . , 40

a. Use the Jacobi method,

b. Use the Gauss-Seidel method,

c. Use the SOR method with ω = 1.3 in (i), ω = 1.2 in (ii), and ω = 1.1 in (iii).

d. Use the conjugate gradient method and preconditioning with C−1 = D−1/2.

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**