(04) Find the first 3 iterations of the SOR method with w = 1.1 for the following linear systems,using X(0) = (0, 0, 0)t.a.b.3x1 - X2+ x3 = 13x1 + 6x₂ + 2x3 = 03x₁ + 3x₂ + 7x3 = 410x₁ - x₂-x₁ + 10x₂ - 2x3 = 7-2x₂ + 10x3 = 6= 9

(a) 3x1-x2+x3=13x1+6x2+2x3=03x1+3x2+7x3=4X0=0,0,0t, ω=1.1 We know that, for symmetric positive…

Answered: (04) Find the first 3 iterations of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(04) Find the first 3 iterations of the SOR method with w = 1.1 for the following linear systems, using X(0) = (0, 0, 0)t. a. b. 3х1 - Хz + x3 = 1 3x₁ + 6x₂ + 2x3 = 0 3x₁ + 3x₂ + 7x3 = 4 10x₁ - x₂ = 9 -x₁ + 10x₂ - 2x3 = 7 -2x₂ + 10x3 = 6